"The representation of matter by a tensor was only a fill-in to make it possible to do something temporarily, a wooden nose in a snowman."

Albert Einstein's Last Lecture, Relativity Seminar, Room 307, Palmer Physical Laboratory, Princeton University, April 14, 1954


"In the first place, we entirely shun the vague word "space," of which, we must honestly acknowledge, we cannot form the slightest conception."

Albert Einstein, Relativity: The Special and General Theory, 1920


"According to the general theory of relativity space is endowed with physical qualities; in this sense, therefore, there exists an ether. But this ether may not be thought of as endowed with the quality characteristic of ponderable media, as consisting of parts which may be tracked through time."

A. Einstein, Äther und Relativitätstheorie, May 5, 1920

(Lisa M. Dolling et al., The Tests of Time: Readings in the Development of Physical Theory, Princeton University Press, Princeton, 2003, p. 346)

 

 

Panta rei conditio sine qua non est

Your Global Time is ZERO

It is suggested that the spacetime manifold is a dynamical entity re-created at every step of a hypothetical spacetime arrow; the latter is due to the "expansion" of space by the dynamic dark energy (DDE). Two modes of spacetime are postulated in this Phoenix Universe: local mode, in which we have point-like events cast on a perfect continuum, with a "carpe diem" unit probability (cf. the measurement problem in QM here), and a global atemporal mode, in which a Machian-type negotiation of every next step is being processed. The effects from the global mode of spacetime, which literally build up '3-D space', begin from the macro-scale of classical physics in two "directions": quantum effects toward the Small, and dark matter & dark energy effects toward the Large. Briefly, we model the universe as a huge brain which 'thinks' with its global-mode state by following the rule 'think globally, act locally'. The implications for quantum gravity are explained by revealing the two modes of spacetime in Quantum Theory and General Relativity, and by suggesting conceptual solutions to the problems and paradoxes hindering the quantum gravity of He Who Does Not Play Dice.

 

Regarding Quantum Mechanics (QM), the aim is to avoid the incomprehensible paradoxes and artifacts in it (watch the double slit experiment here), which originate from its textbook interpretation (Niels Borh's belief that quantum world can only be "seen" through classical "glasses"). We can indeed understand the quantum world (but not the current QM textbooks; cf. Richard Feynman), by changing the "glasses" through which we "see" and construe the quantum world: the universe modeled as a brain.

Regarding the artifacts in QM, we may be in a situation similar to an Eskimo trying very hard to comprehend the notion of "trunk". In our case, we encounter an incomprehensible wave-particle complementarity, which could be just an artifact from our wrong thinking, like the "nose-arm complementarity" in the case of the Eskimo observing elephant's trunk. Surely 'the quantum system' doesn't live in any relativistic space, so one should expect all sorts of headaches and artifacts (e.g., "diese verdammte Quantenspringerei", Erwin Schrödinger) from imposing wrong "glasses" onto the quantum world 'out there'. (A typical example is Franco Selleri's quest for detecting de Broglie waves.)

The prerequisites for the interpretation of QM suggested here originate from Schrödinger. Back in 1935, Erwin Schrödinger stressed the following:

"The rejection of realism has logical consequences. In general, a variable has no definite value before I measure it; then measuring it does not mean ascertaining the value that it has."

And in a letter to Einstein dated 18 November 1950 (quoted after J. Bub, p. 115), he wrote (emphasis added):

“It seems to me that the concept of probability is terribly mishandled these days. Probability surely has as its substance a statement as to whether something is or is not the case — an uncertain statement, to be sure. But nevertheless it has meaning only if one is indeed convinced that the something in question quite definitely is or is not the case. A probabilistic assertion presupposes the full reality of its subject.”

We are obviously dealing with a new form of reality: a probabilistic assertion, and the Hilbert space itself, cannot accommodate the Kochen-Specker case in which "the something in question" is beyond an unequivocal "is or is not" state (cf. "an unequivocal true-false value" in Isham and Butterfield, p. 3; emphasis added):

Check out the implications of KS Theorem to the Precise Value Principle (PVP) and the statistical interpretation of QM from R.I.G. Hughes, p. 164.

Going back to Ernst Specker's tripod, if there are states of the tripod in which one of its legs has UNdecidable color, then not just this particular leg, but the whole tripod will be UNdecidable. It's a package.

The phrase "an incomplete Kochen-Specker colouring" (Helena Granström, p. 2) has no meaning whatsoever; it is the result from imposing wrong "glasses" onto the quantum world. And if you subscribe to the modern quantum mysticism -- "the quantum state is not a physical object, it is a representation of our state of knowledge, or belief" (Itamar Pitowsky, p. 28) -- your brain will wind up in a schizophrenic state of, say, 68% "knowledge" of the quantum state, and 32% of "[what da heck is that uncolored KS sphere?]".

No mental concepts, such as 'knowledge' or 'imagination', are admissible in the ontology of quantum reality. We must never mix apples with oranges (Res Extensa and Res Cogitans).

Karl Svozil refers to this UNdecidable faculty of the quantum world as "ambiguity" (p. 4), and stressed: "This ambiguity gets worse as the number of particles increases." If you think about the quantum world with classical concepts, it will get from bad to worse, until you end up with the (old) cosmological "constant" problem (more on that from Alan Guth).

As Erwin Schrödinger might have said in 1935, the same "variable" that has had no definite value before you measured it will continue to keep its UNdecidable nature after you "measure" it as well. And you can't fit it in any Hilbert space, of course (what is the dim(H) for 32% "uncolored" and 68% colored KS sphere?).

Let's give it a name: potential reality. In the quantum realm, it (i) offers its context-dependent explications (a.k.a. "observables"), (ii) keeps the sameness (Genidentität, Kurt Lewin) of particles of the same type, which MTW regard as "a central mystery of physics" (p. 1215), and (iii) facilitates the ultimate quantum phenomenon: entanglement. It may be difficult to grasp, but is much simpler to the juggling with the possible implications from Bell's inequality and their loopholes (e.g., Ghim and Zhang).

As to quantum gravity (notice the opinion of an expert here), the 'potential reality' is introduced to revive the physical objectivity of spacetime "points", by making the spacetime manifold itself an emergent phenomenon: "The requirement of general covariance takes away from space and time the last remnant of physical objectivity" (A. Einstein, Grundlage der allgemeinen Relativitätstheorie, Annalen der Physik 49 (1916) 769-822). The current formulation of GR can only determine "the mutual relations that exist between the gravitational field and the matter fields (i.e. the value the gravitational field takes where the matter field takes such and such value)", but not "the proper time between spacetime points" (Wiki; more from Butterfield and Isham), and the field equations "cannot even uniquely determine the topology of a manifold" (Alan Macdonald, Einstein's Hole Argument, p. 4).

How can we fix these problems? By introducing two connections, geometric (local mode) and torsion (global mode of spacetime). The torsion connection is completely vanished (Hehl and Obukhov) in the local mode, hence its effect are considered "dark" (see Alex Murphy).

Notice also that a hierarchy of 'potential reality' (never in plural), resembling the structure of cognitive concepts, is postulated (application here). In metaphysical terms, it supports the views of Aristotle and Spinoza: no "parts" of the infinite can exist, as the infinite Substance is indivisible. It's not like Russian dolls.

In the case of a human brain (not mind or consciousness), the UNspeakable potential reality can be explicated with, for example, three (and many more) sayings, which produce "measurements" (if you prefer QM jargon) on it:

1. All are not hunters that blow the horn.
2. La robe ne fait pas le médecin.
3. Es ist nicht jeder ein Koch, der ein lang Messer trägt.

None of these "measurements" can "collapse" the potential reality (Platonic idea) explicated with these sayings. And if our brain can work with 'potential reality', so can the universe modeled as a brain.

Regarding the brain above your neck: its 'potential reality' is to its human self what EM radiation is to your subjective experience of 'color' -- no direct action of the human self on its brain is allowed in science. Hence it may be conceivable that the potential reality entwined with the human brain could be bridged to that of the quantum vacuum (BCCP). All you may need is an arrow of spacetime. (Notice, however, the 'two rules of success' here.)

Notice also that 'potential reality' is an intrinsically holistic phenomenon, so it will be very misleading to call it "dark", just because it is not possible to be traced back from any of its physical explications in the r.h.s. of Einstein field equation.

Forget about "energy conservation in GR". It's an oxymoron (details from Denisov and Logunov). What kind of "time" is implied in the non-linear dynamical cancellation of the two "fluxes" (Merced Montesinos), such that the ether would not "come back"? Can your wristwatch read it?

The sole "explanation" of this ultimate puzzle of GR, offered by Chris Isham, was that, "after all, general relativity does seem to work well as a theory, and yet I can certainly read the time on my wrist watch!" But your wristwatch should not be able to read more than one instant from this (global) non-linear "time". Complex problems have simple, easy-to-understand wrong answers (Murphy's Law No. 15).

We need quantum gravity, to uncover "the proper time [tau] along spacetime trajectories" (Carlo Rovelli; drawings here) and the genuine 'time variable' associated with the expansion of space due to DDE. Once we achieve this formidable task, we will (hopefully) find out what -- if anything -- might remain unchanged/conserved in this particular (global mode of) time. In the current 'GR without DDE', the dynamics is "entirely generated by constraints. The dynamical data do not explicitly include a time variable" (Karel Kuchar), and one can only hope that "the energy momentum tensor which is the source of gravity" might be conserved "due to the Bianchi identities" (E. Guendelman, p. 9). Such hopes are (i) utterly murky even in the textbook GR, because any observable of the gravitational field is "necessarily quasi-local" (Laszlo Szabados) and (ii) not applicable to the new dynamics of GR due to DDE. For example, Noether's Theorem holds only for flat spacetime, and the Bianchi identities are applicable only for 'GR without DDE'.

At this point, I got an emotional response from Eduardo Guendelman, saying that the Bianchi identity is a mathematical theorem, so there is no ambiguity involved here. Well, I'm just a psychologist, so let me quote Matt Visser, p. 3:

"... the Einstein equations of general relativity are local equations, relating some aspects (notice the poetry -- D.C.) of the spacetime curvature at a point to the presence of stress-energy at that point. Additionally, one also has local chronology protection, inherited from the fact (Sic! -- D.C.) that the spacetime is locally Minkowski (the Einstein Equivalence Principle), and so “in the small”  (that's the sole application of those 'twice-contracted Bianchi identities', cf. George F R Ellis and Henk van Elst, Eq. 2 -- D.C.)  general relativity respects all of the causality constraints of special relativity.

"What general relativity does not do is to provide any natural way of imposing global constraints on the spacetime — certainly the Einstein equations provide no such nonlocal constraint."

Which is precisely the missing element needed to address the 'global properties of spacetime' in the presence of DDE. As R. Rakhi and K. Indulekha acknowledged (p. 5): "Because this energy is a property of space itself, it would not be diluted as space expands. As more space comes into existence (the same phrase was used by Sean Carroll -- D.C.), more of this energy-of-space would appear. (...) So the mystery continues."

And so does the confusion about it -- click here.

The intrinsic dynamics of the phenomenon of 'more space comes into existence' could only be detected in a reference frame from which this phenomenon is excluded, like 'not acting there'. But because DDE acts on the whole 3-D space en bloc, without any irregularities, there is no place in the universe in which we could install a clock and say -- look, this clock does read the (global mode of) time pertaining to the omnipresent phenomenon of 'more space comes into existence'. It is the theory of relativity itself, which cannot "detect" it. Which is why some people call it "dark".

Although the mathematical meaning of the phrase "more space comes into existence" is not clear, I don't think Kurt Gödel would have called the ultimate source of spacetime points "dark". Once we move from physics to geometry, it's a whole new world there. Pity Mike Turner called it "dark"; that's so wrong!

One cannot insert the "dark" energy of  X  into its consequence -- accelerated expansion of space. The source  X  does not belong, and cannot be fitted into the same 3-D space (Cauchy hypersurface) which is being created by  X . You can do this only in GR textbooks that deal with 'GR without DDE'. Capiche?

Notice also that Matt Visser (see above) considers the metaphysical assumption that the spacetime were "locally Minkowski (the Einstein Equivalence Principle)" to represent a fact. But we only have a mathematical fact that  locally , "over" a point, one can indeed eliminate the gravitational "field" by hand (Hermann Weyl). But because nobody has so far explained the resulting quasi-local nature of the gravitational field's observables (see Laszlo Szabados above), nor the origin and the mechanism of inertial reaction "forces", I think we should be very cautious and open-minded in interpreting such mathematical facts and theorems, like the above-mentioned Bianchi identity.

If you are looking for a genuine quantum-gravitational measuring device, your wristwatch (as well as the one of Kip Thorne) fits the bill, because it reads an already-linearized (see the explanation of 'already' below) time variable obtained from the "the proper time [tau] along spacetime trajectories" (Carlo Rovelli) and the (global mode of) time associated with the expansion of space due to DDE.

This is to me the ultimate puzzle in present-day GR. The sole "explanation" of Chris Isham was that, "after all, general relativity does seem to work well as a theory, and yet I can certainly read the time on my wrist watch!"

I will desist to comment on C. Isham's observation, and will instead take the liberty of being (again) deadly boring, by explaining the difference between 'GR without DDE' vs 'GR with DDE'.

First, a simple example from STR, with a trajectory of a Frisbee, on the fixed background of Minkowski spacetime: we can calculate the instantaneous state of the Frisbee at each point from the trajectory, and attach to this dimensionless point a well-defined vector. My teenage daughter couldn't understanding how it is possible to attach a vector to a "point", and I explained the puzzle by saying that the information from a finite interval from the history of this infinitesimal "point" is encapsulated in it -- we instruct this interval to shrink asymptotically toward zero -- so the vector is indeed well-defined. All this is possible under the premise of the fixed "grid" in STR. But once we move to 'GR without DDE', the "grid" is gone (Emilio Elizalde): at each and every "point" from the trajectory, the non-linear mutual determination of matter and space (John Wheeler) takes place. But in what time (see Chris Isham's wrist watch above)? There is no background grid or "ether" w.r.t.w. one can define the dynamics of 'GR without DDE'. Yet people don't ask such questions and prefer to just do calculations with the linearized approximation of 'GR without DDE'. As another expert explained to his undergraduates, "one begins by introducing the notion of a tangent vector to describe an infinitesimal displacement about a point  p " (Bob Wald, p. 4). But again, in order to recover the true dynamics of 'GR without DDE', you need some "ether" or rather 'reference fluid' w.r.t.w. one can describe the fundamental phenomenon of transience (Abner Shimony): see the so-called Aristotelian Connection here.

At this point, the 'GR with DDE' comes to rescue the Hamiltonian formulationof 'GR without DDE': we have a brand new, global degree of freedom of spacetime en bloc, hence can recover the transience of spacetime, as driven by the source of DDE, along the arrow of spacetime -- see above.

To identify this same source in the quantum realm (called 'potential reality'), let's go back to the interpretation of QM here.

In a nutshell, the so-called PR² interpretation of QM offers a solution to the non-unitary "collapse" by replacing the alleged "U" and "R" processes with a new (at least to people like Ed Witten, Steven Weinberg and Gerardus 't Hooft) form of reality, known since Plato, called here 'potential reality'. Its quantum presentation is ubiquitous and has zero entropy; hence the familiar notion of time, which pertains to monotonic increase of entropy "in time", is not applicable to 'potential reality'. It may produce "shadows" in terms of 'quantum observables', yet these "shadows" cannot be traced back, to reveal any evidence of such events (or "quantum information") ever having emerged from 'potential reality'. It may act, yet not experience any backaction from its "shadows". Hence it is the ultimate "background" for QM and GR. It evolves along the arrow of spacetime (resembling the "memory" of the universe), by unfolding from 'the ideal monad without windows'. In the local mode of spacetime, every "point" is filled with an already explicated value of its 'potential reality', and as the latter evolves and becomes enriched, the "number" of its localized explications increases accordingly: more and more things come into existence in the universe. As John Wheeler put it, "Time is Nature's way to keep everything from happening all at once". Only with 'potential reality' there is no need nor place for any 'unitary dynamics' in the local mode of spacetime. This is the metaphysics of 'the universe modeled as a brain', viz. the interpretation of 'expansion of space' along the arrow of spacetime.

From this perspective, if we follow the deflation time arrow in the local mode of spacetime, things will gradually fade away in a strictly non-unitary fashion, but will only approach asymptotically The Beginning, because it is logically impossible to reach It from/within the local mode of spacetime (cf. the paradox here). The solution is 'dual age cosmology'.

As M. Gell-Mann and J. B. Hartle have noticed, "quantum mechanics is best and most fundamentally understood in the framework of quantum cosmology" (quoted after Claus Kiefer, p. 1). And vice versa.

The current situation with inflationary cosmology was presented by Alan H. Guth, the winner of the 2009 Isaac Newton medal, on 13 October 2009. He speculated that our galaxy could be an amplified "quantum fluctuation" (Part 2, 3:30 - 6:16),

 

... and then confessed his "Nightmare of Dark Energy" (Part 2, 11:36), on which the "eureka" of inflationary cosmology is grounded.

Perhaps Alan Guth should have entitled his talk 'The Dark Energy Nightmares of Inflationary Cosmology', as encapsulated in the [?] area in V. Mukhanov's paper:

With the so-called dual age cosmology, the "first" Plankian time "after" The Beginning is stretched toward infinity in the local mode of time. This is otherwise being explained as 'the universe started asymptotically from time zero'. In this local mode of time (read by your wristwatch), the universe is effectively eternal and its age is indecisive, while in the global mode of time it has a finite age. Another nice feature of dual age cosmology is that The Beginning is an atemporal phenomenon, and is always present (global mode of time) in the instant 'now'.

Let's go back to QM. Think of a trajectory of a Frisbee: at each "point" from the trajectory (the latter could be a perfect continuum of such "points"), the state of the Frisbee is a perfectly well defined fact, with a 'carpe diem' unit probability. I use this simple idea to introduce a new kind of cancellation mechanism, pertinent to 'potential reality', for removing the non-unitary "R" process (historical account from October 2002 here); hence the motto of this web site, since July 1997: Dead matter makes quantum jumps; the living-and-quantum matter is smarter.

Notice that not only the "R" process is being removed (as did Hugh Everett III in his relative state interpretation of QM), but the alleged "U" process and Hilbert space as well.

The established theoretical physics community, particularly Niels Bohr, ridiculed Everett's interpretation to the extent to which Hugh Everett left physics (and became millionaire).

NB: Notice that if the PR² interpretation of QM is correct, then all tentative solutions proposed for the measurement problem and the classical limit of QM, based on either probabilistic or "toposification" (Chris Isham), ‘neo-realist’ interpretation of QM (Cecilia Flori, p. 211), will necessarily be wrong.

The next step is to elaborate on the continuum of such explicated quantum states (local mode of spacetime), which emerges from the back bone of the whole physical world (global mode). Here we enter quantum gravity, particularly the emergence of time and space from "something else" (Isham and Butterfield): check out the arrow of spacetime here, and think of 'the whole universe' as a huge brain which self-determines its consecutive quantum-gravitational states in line with the Bootstrap Principle of Geoffrey Chew. Also, the alleged quantum "fluctuations" are interpreted as flexibility of 'the quantum state' to offer potential states, one of which to be chosen (one by one) by 'everything else in the universe'. Hence the speculation about some "spacetime foam" and the insoluble problems from it (how do you tell apart spacelike from timelike at Planck scale?) are avoided from the outset. Possible practical implications are outlined here.

As in the case of Hugh Everett, many theoretical physicists jumped to play the role of Niels Bohr, chief among them was Britain's leading expert in quantum gravity, who declared seven years ago (Wed, 23 Oct 2002 19:24:15 +0100):

"You do not know enough theoretical physics to help with any research in that area."

To the best of my knowledge, nobody has so far offered some new cancellation mechanism as a joint solution to the measurement problem of QM and the cosmological "constant" problems. Such cancellation mechanism is built in the UNdecidable quantum state (quantum presentation of Platonic ideas) from the outset: instead of dealing with some |alive cat> & |dead cat> from the "U" process, we encounter an UNdecidable 'cat per se', so if we happen to observe an 'alive cat' as a fact, with unit probability, the 'dead cat' will happily live undisturbed in 'the UNdecidable quantum state'. No "collapse" nor dead cat doppelgänger à la Everett are needed.

The animated cat above is very deceptive, because its "evolution" prior to the "collapse" seems fully deterministic. If you think about the quantum "evolution" of such superposed states in terms of 'energy eigenstates', notice the imaginary unit in S. Carroll's essay, Eq. 4: "all of the time evolution is encoded in the phases [XXX]" (ibid., p. 6). But how do you encode 'time evolution' in complex phases (Chen Ning Yang)? Recall that, after you "collapse" the cat, the alleged "time parameter" in the Schrödinger equation turns into some non-relativistic [you-name-it], but the equation itself doesn't say anything whatsoever about the nature of this "time parameter" prior to the "collapse", as introduced by hand (along with the Born rule) in QM textbooks.

To understand the origin of this whole mess, read the second sentence from the excerpt below (R.I.G. Hughes, The structure and interpretation of quantum mechanics, p. 77):

This "general principle", however, does not cover the case of UNdecidable, hence not-yet-physical, KS quantum state, as explained by R.I.G. Hughes here. One can hardly overestimate the enormous confusion from this huge blank spot in current QM textbooks -- just recall the ongoing quest for "quantum computing" and the alleged "decoherent histories" (J. Halliwell; cf. Franck Laloë, Sec. 6.4 and footnote 47 on p. 81).

All these problems are resolved in the PR² interpretation of QM from the outset. Moreover, the new cancellation mechanism is introduced to explain the ongoing, as-we-speak mechanism of 'the flatness problem' (asymptotically flat spacetime conjecture), producing an extremely precise balance between the two tug-of-war effects, CDM & DDE, of the geometry of spacetime at cosmological scales.

Otherwise we have to inject up to 96% "dark stuff" (with all sorts of "ghosts") into the current theoretical physics, as calculated under the assumption that 'potential reality' doesn't exist. As Evalyn Gates put it (p. 196), the detection of DDE was "like finding an elephant on top of a table impeccably set with the finest china and silver (...). We stare in shock at the uninvited guest and demand to know where the elephant came from -- and how it got into (the) room."

Regarding the arrow of spacetime: notice that the Frisbee-like sequence of explicated facts (local mode of spacetime) is inherently background-free, because the background (the reference fluid of GR and the UNdecidable quantum state) is 'not there', being placed  ]between[  the "points" of the continuum of the local mode of spacetime. In other words, the "dark gaps" of the global mode are not like the real gaps between the tiles in R. Penrose's bathroom: regardless of how small tiles you choose, if you decrease the size of the tiles in a Fibonacci sequence, you will never ever reach the "gaps" from/within the local mode of spacetime (more on Fibonacci here).

This proposal makes the local mode of spacetime a perfect 3-D continuum with dynamical topology of 'asymptotically flat spacetime'. The "dark" gaps of the postulated global mode of spacetime are completely sealed off  by the arrow of spacetime -- the mechanism by which the "dark" gaps of the global mode are made nonexistent in the local mode is the same that makes the "speed" of light a fundamental constant (and also hides the mirror tachyonic world). This renders the Schlaefli conjecture (L. Schlaefli, Ann. di Mat. 5 (1873) 170), as well as all "branes" and other multidimensional superstitions in GR and string hypotheses (Lisa Randall; see also A. Vilenkin below) redundant, to say the least.

In the context of GR, the global mode of spacetime is located "within" each and every point from spacelike hypersurfaces, as it "lives" exclusively on null hypersurfaces. (Unlike the geometry of spacelike hypersurfaces, the geometry of null hypersurfaces is not metric (D. C. Robinson), which leaves a challenging opportunity to introduce an additional, to the Christoffel connection, global torsion connection.) To be precise, the "duration" of the global mode, recorded with a physical clock (local mode), matches the "duration" of the atemporal "handshaking" transaction in Cramer's interpretation of QM: it has been already completed at each and every instant we "look" at it (see below).

Hence in the local mode of spacetime, the dimensionless GW amplitude is zero, nonexistent, zilch. (Another case of reining a dimensionless amplitude, the mythical "quantum computing", is examined here.)

Notice also that the hypothetical global mode of spacetime cannot be read by a physical clock (it will "stand still"). It is introduced to replace the "external time parameter" in H.-D. Zeh (p. 13) and the “auxiliary internal time” (cf. Macias and Quevedo, p. 8) by 'the reference fluid of GR'. The latter can "act" upon matter without being affected in turn by matter. In this unphysical "absolute" reference frame, an electromagnetic radiation field can indeed "stand still" (recall that EM radiation field cannot stand still with respect to any physical observer, Bahram Mashhoon, p. 14).

The next metaphysical idea is straightforward: 'time' does not originate from 'change in space' but from 'change of space'. Only if you have the latter (global mode), you may introduce the former, as 'time read by a clock' (local mode). Why? Because one cannot insert the "dark" energy of  X  into its consequence: accelerated expansion of space. The dynamics of 'the change of space' is defined relative to the "omnipresent ether  X " (global mode of spacetime). The latter is located "within" each and every point from the local mode of spacetime, and is wrapping the local mode by two (in fact, one) 'numerically finite but physically unattainable Aristotelian boundaries'.

All we can physically observe is that the local mode of spacetime is being 'acting upon itself'. Such self-action will of course look "dark" to all local sub-systems (see Alex Murphy).

Hence we can bridge QM and GR, and understand the origin of quantum and gravitational "waves": EPR-like correlations (global mode) will inevitably induce wave-like holomovement of physical stuff along the arrow of spacetime. Such wave-generation effects can be found in our brains and in many living organisms. Perhaps it determines the inertial reaction "forces" as well (don't bother to ask Criss Angel, he knows nothing about it).

Recall what William Kingdon Clifford claimed in his paper ‘On the Space-Theory of Matter’, presented to the Cambridge Philosophical Society on February 21, 1870 (quoted after Domenico Giulini, p. 2):

I believe Clifford's idea in (2), about "the manner of a wave", is amended here with the proposed origin of quantum-and-gravitational "waves": the continuous passage of "curved or distorted" from one point (not "portion", as in (1) above) to the next one is what the arrow of spacetime does on the perfect continuum of the local mode of spacetime (the "dark" gaps of the passage are being completely sealed off  by the arrow of spacetime).

But why 'arrow of spacetime'? Because our good old 3-D space is not like a huge static warehouse, in which we would notice some redshifted light from moving objects, receding from us in line with the Hubble Law (some balloon metaphors may be highly misleading). It is the other way around: distant galaxies are not "speeding up" with respect to us in some absolute static space, but the very metric of space is "expanding" (I firmly disapprove of this notion of "expansion", and have suggested the so-called 'scale relativity principle').

Hence the space itself is endowed with dynamics, but then we need some ether w.r.t.w. such 'global dynamics of 3-D space' can be formulated. Then the only possibility -- trust me, there is no other option -- is to place the omnipresent ether, as 'the source of the "dark" energy', in the global mode of spacetime. Otherwise you will have to define the dynamics of space w.r.t. itself, and will look like Baron Munchausen. That's why we need an arrow of spacetime, in my opinion (but notice the opinion of Chris Isham above).

NB: If this is the case chosen by Nature, then any approach to quantum gravity, based on the "splitting" of spacetime (Brett Bolen), will necessarily be wrong.

The speculations of Roger Penrose will necessarily be wrong as well: "The fuzzy idea of where and what is infinity was clarified and made more specific by the work of Penrose [45, 46] with the introduction of the conformal compactification (via the rescaling of the metric) of spacetime, whereby infinity was added as a boundary and brought into a finite spacetime region." (Ted Newman et al.)

Perhaps we may have to develop new mathematical theory of 'potential reality', such that the "state space" of Margenau's Onta (quantum presentation of Platonic ideas) would match the structure of cognitive concepts; notice that in the "cheating on 20 questions" the answer 'cloud' was explicated by a Baeysian learning rule (not the Born rule). For comparison, the categorification of Feynman diagrams requires "black boxes with many wires going in and many wires going out" (Baez and Lauda, p. 16), while in our case all wires are "instantaneously" (global mode of spacetime; see the Escher drawing below) keeping track of all virtual 'black boxes' as well (relational ontology), in order to dynamically adjust to the changing context of the game, until they jointly select the final, explicated 'black box': 'cloud' (see also the four dice here).

NB: In the local mode of spacetime, the "duration" of the total negotiation with 'everything else in the universe' (relational ontology) is zero. Hence a wave pattern is being created, without any source of these "waves" being present in the local mode, and a new form of retarded causality (biocausality; see below) can be postulated -- a revitalization of Leibnitz' harmonia praestabilita, Jung's Synchronicity, and Einstein's Überkausalität.

We definitely need mathematical theory of 'potential reality'. The task is highly non-trivial, but once we unravel the correct mathematical theory, the astonishing effectiveness of mathematics (Eugene Wigner) may drive us closer to the true quantum gravity of He Who Does Not Play Dice -- the world is not deterministic but flexible, and the 'chooser' of one possibility (one at a time) amongst infinitely many is 'the whole universe' in its state of ONE.

All I've been getting so far is either dark silence or insults (some of them really harsh).

Perhaps the situation will improve in 2010, after the sixth consecutive failure of LIGO Scientific Collaboration (LSC) to detect GWs with the so-called "enhanced LIGO". GW energy transfer is fundamentally non-linear phenomenon (Hermann Bondi), but is wiped out with the "linearized approximation" adopted by LSC. Also, GW energy is intrinsically quasi-local, in the sense that GWs do not propagate exclusively "in one direction only" (“when the waves are all moving in the same direction”, cf. P.A.M. Dirac, Ch. 33, p. 64), as they also have a holistic global component (atemporal "handshake"), which covers the whole 3-D space en bloc.

LIGO Scientific Collaboration (LSC) stubbornly refuse to acknowledge that there are no bans whatsoever on the dipole radiation, simply because conservation of gravitational mass-energy and momentum, in a world dominated by an evolving cosmological "constant", is a wishful thinking. They fear to even mention the implications of DDE to their project, and have never tried to address the (old) cosmological "constant" problem, which inevitably occurs if you trust the unwarranted assumption that the "dark energy" from the quantum vacuum can only spring from Lorentz-invariant stuff with positive energy density.

Is it possible to detect some 'elementary shift' of the expanding metric -- the "intrinsic time interval associated to any timelike displacement", T. Jacobson, pp. 18-19 -- due to the omnipresent and perfectly smooth DDE? In what reference frame? Notice that you're dealing with some "fluid" that "has zero inertial mass! It can be accelerated with no cost, no effort" (B. Schutz, p. 255) and "provides an all-pervading energy density and negative pressure that are the same to all observers, at all places, and at all times in the history of any universe model, even the expanding ones." (p. 257)

Similar rhetoric questions apply to the dynamics of the metric, producing inflationary gravitational waves on the 3-D "balloon" hypersurface. It's a bundle.
 

Yet the same kind of waves, only much "weaker", are expected to be detected by LIGO (see below).

Forget it. There is no need for "precise calibration" of a dead turkey.

The insane efforts of LSC remind me of the old joke about a drunken man, who has lost his key somewhere in the dark, but is searching for it under the street lamp, simply because it is brighter there. Only LSC's "key" costs billions. Which is why I accused LSC members of aggressive professional negligence, and offered them to review my White Paper. They responded with dark silence, as usual.

Check out the communist censorship of Paul Ginsparg's "moderators" here.

Since all this points to the unknown dynamics of GR, consider this: similar to the case of particle-wave duality, the splitting the spacetime into two "components" is allowed for educational purposes only. In fact, we are dealing with one object, as stressed by Hermann Minkowski (recall again the elephant's trunk). Hence if you split the spacetime into two "components", and let one of them ('time read by a clock') to "evolve" with respect to the other one (3-D space) -- as Paul Dirac and ADM did in the misfortunate Hamiltonian formulation of GR -- you will end up with a dead frozen snapshot of the arrow of spacetime, in which all GW effects (the positivity of mass and its inertial reaction "force") have already been completed by the "instantaneous" non-linear Machian-type negotiation (global mode of spacetime; see the Escher drawing below) with 'everything else in the universe' (the so-called biocausality).

To explain "already", let me quote from Thomas E. Phipps, Should Mach's Principle be taken seriously? Speculations in Science and Technology, 1(5) 499-508 (1978), p. 504:

"Gravity is a different beast from radiation of any kind. Being mediated by virtual
particles, which may be considered to be kept permanently virtual by the physical
non-existence of gravity shields or absorbers, gravity can act (nonlocally) with infinite speed -- in effect, with precognition. That is exactly what it does, if Mach's principle has any substance. The fixed stars "know" the subway is going to jerk, because they have sent their virtual spies forward in time to find out about it."

The crux of the idea of biocausality is well-known. Back in 1953, Wolfgang Pauli suggested that the concept of finality ("the end (telos), that for which a thing is done", Aristotle, Physics 194b33) should be considered as a complement to causality in deterministic and statistical laws. The stipulation here is that Aristotle's effective cause & final cause determinate jointly the next state of all material constituents of the universe relationally, in line with the bootstrap principle 'think globally, act locally' (global mode of spacetime; see the Escher drawing below), but in the local mode the resulting biocausality is retarded, along the arrow of spacetime.

 

 

From this perspective, detecting GW effects requires "online" access to the global mode of spacetime, in which the dynamical determination of spacelike and timelike directions (hence Lorentzian metric) is being produced -- one-at-a-time, along the arrow of spacetime. In simple words, this means that the proper GW detectors must be endowed with the self-acting faculty of the human brain, to match the "interaction of spacetime with itself" (C. Kiefer, p. 2; cf. also J. G. Pereira et al., arXiv:0909.4408v1 [gr-qc], p. 10, Eq. 7.2).

As of today, nobody cares. Nobody.

I can take it. I'm psychologist, and don't need quantum gravity to practice PHI.

Why would a fish need a bicycle?

D. Chakalov
Thursday, 26 November 2009

 

 

[click the image to enter the web site]

 

 

Some history of the project outlined above. In January 1972, shortly after my demobilization from BG army (age 19, with the lowest possible rank), I decided to study psychology and "sort out" the physics of the human brain, to explain and eventually explore its amazing latent abilities. It took me sixteen years to realize that the task is unfeasible with the established Weltbild, and on 22 May 1988, at 23:45 local time, I decided to try the project 'the other way around', namely, to develop a model of the universe as a 'brain', such that there will be a natural explanation of the physics of the (small) brain from the outset. After many trials and errors, the first (relatively) encouraging evidence appeared in July 1998, but the project is still far from being completed. I am trying to find any weak points or inconsistencies in it, just as I would do with a brand new parachute, which I would have to put on ultimate test by jumping from a helicopter. I do like the unfolding of the whole project, since it seems to me that all pieces of 'the bridge' snap to their places effortlessly. Yet there is no room for contention, and I never go into the mood of 'chi si contenta gode' (a contented mind is a perpetual feast; he who contents himself, enjoys).

Hopefully, if we join our efforts and knowledge (included at the level of our collective unconsciousness, cf. Jungian Kollektives Unbewusstes), some day we may succeed.

Meanwhile, please keep in mind the prediction of Robert Millikan, Nobel Prize in Physics (1923): "There is no likelihood man can ever tap the power of the atom."

This web site is my feedback to all people, who are helping me, one way or another, with improving the theory. Feel free to download it (app. 11.8MB) from

http://www.god-does-not-play-dice.net/PHI_info.zip

By unzipping PHI_info.zip, a new folder, !Einstein_PHI , will be created on your hard drive. Find there START.html.lnk and open it (it is linked to this front page (index.html) in the website folder).

If, for some reason, you believe we don't need new approach to quantum gravity, try to understand Sean Carroll's speculations (448 pages, January 2010):

"... wavefunctions appear to collapse in one direction of time but not the other is not an explanation for the arrow of time, but in fact a consequence of it. The low-entropy early universe was in something close to a pure state, which enabled countless "branchings" as it evolved into the future." Yet he acknowledged: "we can't, once again, define a conserved total energy in any reasonable way." Consequently, the main speculation of S. Carroll about some "low-entropy early universe" is just as unclear as is its gravitational energy which would evolve "into the future". (Also, there may be a critical low geometric entropy state of the 'extremely early' universe, which may blur the timelike and spacelike directions themselves, and turn them into some primordial quantum dough from which nothing could possibly "decohere", ever.) As one of his senior colleagues summarized, "the magnitude of the entropy of the universe as a function of time is a very interesting problem for cosmology, but to suggest that a law of physics depends on it is sheer nonsense."

... Alex Vilenkin's arXiv:0908.0721v1 ($63,000 FQXi Grant):

... Laura Mersini-Houghton's arXiv:0909.2330v1 [gr-qc] ($50,000 FQXi Grant):

"... when treated in a multiverse framework, fundamental time is directionless and consequently physical laws inherit its time-reversal symmetry. Despite that reversal symmetry is broken for the local time by the bubble nucleation, the bubble still inherits laws of physics at birth from the multiverse, without modification. Thus the emergent time’s arrow in the bubble does not affect the time-reversal symmetry imprinted onto the physical laws that the bubble inherits from birth in the multiverse. (...) An emerging time in the multiverse does not appear plausible since the emergence adds information on the multiverse that wasn’t there prior (... but we face the same kind of emergent non-unitary phenomenon with DDE -- an evolving cosmological "constant" that springs from the quantum vacuum - D.C.)."
 

... and the obstinate belief of Andrei Linde ($164,179 FQXi Grant):

"During the last 25 years a new scientific paradigm gradually emerged. (...) My main goal is to learn how to make scientific predictions in this complicated framework."

Sure enough, Andrei Linde tried to answer the first off question of how many universes are in the "multiverse" (arXiv:0910.1589v2):

Coincidently or not, his calculation matches the number of angels (mostly blond) that can fit on the head of a pin, as suggested by A. Linde's medieval colleagues.

If these people were here in the 21st century, I suppose they would gladly join LIGO Scientific Collaboration (see above), and speculate that, shortly after the "big bang", the whole universe was still small enough to fit on the head of a pin, with strong ripples of the spacetime metric (see their picture above). They would love to feel again like an 'absolute observer' with an absolute clock paired with an absolute measuring rod, to tell the dimensions of the universe and its current cosmological age, as read by their absolute wristwatch. But instead of arguing about angels (either blond or not), they would certainly prefer to measure the "ripples of the metric" (albeit very weak), which again can only be seen from the same standpoint of 'absolute observer'. Needless to say, they will easily publish tons of articles on "GW astronomy", and will ignore any alternative viewpoint on what can be "seen" by such absolute observer: nothing but "gauge-dependent" stuff.

That's how 'potential reality' is being camouflaged in present-day GR, simply because if it were possible to detect the source of DDE as 'gauge invariant observable', the omnipresent and perfectly smooth ether (the source of DDE) will be exposed to direct physical observations, as 'spacetime acting upon itself'.

Back in April 1986, Yakov Zel'dovich wrote in a letter the following (private communication): "Long time ago, there was a period of time during which there was still no time at all." Of course he was joking.

Yet the 'global mode of time', pertaining to potential reality, cannot be read by any physical clock, because the poor inanimate clock will read it as 'stand still' or "no time at all", as Yakov Zel'dovich put it. Maybe The Beginning, which lives in "no time at all", is always with us (dual age cosmology).

Anyway. Perhaps in the next twenty-five years a new paradigm will emerge: the universe modeled as a brain. The driving force of its arrow of spacetime cannot spring entirely and exclusively from the "brain" itself, which brings us to Virgil's statement: Mens agitat molem (The Aeneid, Ch. 6, 727).

In German, it reads: Der Geist bewegt die Materie. Physically, Der Geist may look like 'the ideal monad without windows'. However, no scientific predictions can be made about it, or else we will conflate religion with science. Thank God, this is impossible.

D. Chakalov
October 31, 2009

 

Subject: "best of all possible worlds."
Date: Fri, 8 Oct 2010 21:09:20 +0300
From: Dimi Chakalov <dchakalov@gmail.com>
To: Robin G Jordan <jordanrg@fau.edu>

Dear Professor Jordan,

It was a great pleasure to read your essay on Newton vs. Leibniz,

http://courses.science.fau.edu/~rjordan/phy1931/NEWTON/newton.htm

"Leibniz thought the idea of God as an astronomical maintenance man as absurd. He believed that God had carefully chosen among an infinity of possible worlds, the one He felt the most suitable. So that although we may not have a perfect world, it was the

"best of all possible worlds."

I intend, Deo volente, to talk on a similar subject on 25 November 2015,

http://www.god-does-not-play-dice.net/#VGP

My web site isn't encrypted (like Newton's 6accdae13eff7i3l9n4o4qrr4s8t12ux), and if you have some spare time, I will highly appreciate your comments on my efforts.

Kindest regards,

Dimi Chakalov
 

============================

Subject: New limit on the mass of Father Christmas' beard (a.k.a. WIMPs)
Date: Fri, 8 Oct 2010 21:55:02 +0300
From: Dimi Chakalov <dchakalov@gmail.com>
To: Joe Silk <j.silk1@physics.ox.ac.uk>, silk@astro.ox.ac.uk
Cc: M Angeles Perez-Garcia <mperezga@usal.es>,
Jirina R Stone <j.stone1@physics.ox.ac.uk>,
rminchin@naic.edu,
Jonathan.Davies@astro.cf.ac.uk,
Mike.Disney@astro.cf.ac.uk,
Sarah.Roberts@astro.cf.ac.uk,
caj@jb.man.ac.uk,
Wim.vanDriel@obspm.fr,
benjamin.allanach@googlemail.com,
s.sarkar@physics.ox.ac.uk,
matthew.chalmers@iop.org,
Plus@maths.cam.ac.uk,
J.D.Barrow@damtp.cam.ac.uk,
uzan@iap.fr,
blanchet@iap.fr,
alain.blanchard@ast.obs-mip.fr,
edwin.cartlidge@yahoo.com


Dear Joe,

I am really surprised that you took part in the calculations of a new limit of WIMPs (arXiv:1007.1421v2; Phys. Rev. Lett. 105 (2010) 141101).

May I use this opportunity to invite you and your colleagues to my talk on quantum gravity,

http://www.god-does-not-play-dice.net/#VGP

All the best,

Dimi
----
How do we know that Father Christmas has a beard?
We know it, because snow falls when he shakes his beard.

Old Tanzanian saying
 

===================================
 

Subject: Spherical cows
Date: Wed, 12 May 2010 14:42:46 +0300
From: Dimi Chakalov <dchakalov@gmail.com>
To: Richard Gray <richard.gray@telegraph.co.uk>
Cc: Jim Hough <J.Hough@physics.gla.ac.uk>,
Sheila Rowan <S.Rowan@physics.gla.ac.uk>,
Ralph Cordey <Ralph.Cordey@astrium.eads.net>,
Keith Mason <keith.mason@stfc.ac.uk>,
council@stfc.ac.uk
Bcc: [snip]

RE: Largest scientific instrument ever built to prove Einstein's theory of general relativity, by Richard Gray. The Daily Telegraph, 8:30 AM BST, 09 May 2010,
http://www.telegraph.co.uk/science/space/7695994/Largest-scientific-instrument-ever-built-to-prove-Einsteins-theory-of-general-relativity.html


Dear Mr. Gray,

I trust you are familiar with the anecdotal story about a 'spherical cow',

http://en.wikipedia.org/wiki/Spherical_cow

Suppose someone claims that *the real cows are indeed round*, because cows might be approximated as spherical objects, and then ask your government to allocate a significant portion from your taxes for detecting the unique pattern of 'real spherical cows'.

Likewise, you were told by a number of people that, after applying their spherical-cow approximation to Einstein's theory of general relativity, they might eventually detect gravitational waves (GWs): "we haven't been able to detect them yet because they are very weak" (Jim Hough).

However, their persistent optimism is rooted on artifacts due to their spherical-cow (=linearized) approximation of GR,

http://www.god-does-not-play-dice.net/Szabados.html#SBG

I fact, they ignore all problems due to their approximation. For example, Hermann Weyl proved in 1944 that such spherical-cow approximation implies the existence of a tensor that, except for the trivial case of being precisely zero, does not otherwise exist,

http://www.sjcrothers.plasmaresources.com/weyl-1.pdf

Regarding Ralph Cordey at Astrium UK and the so-called LISA Pathfinder: How much this spherical cow will cost to UK taxpayers, I wonder.

Yours sincerely,

Dimi Chakalov
35 Sutherland St
SW1V 4JU
----------

Note: The failures to detect GWs were "explained" by Jim Hough with a very misleading statement: "we haven't been able to detect them yet because they are very weak". In fact, GWs are immensely powerful phenomena, but nobody -- Jim Hough and Sheila Rowan included -- can offer a non-linear theory of GWs. All they can do is to imagine that, by the time GWs reach LIGO or LISA, they will be "very weak", such that their spherical-cow approximation to Einstein's GR would be correct. But again, they don't have any non-linear theory of strong GWs, from
which some "weak limit" can be derived.

All they do is asking for more taxpayers' money for detecting spherical cows, instead of doing their homework first on paper, to demonstrate such "weak limit" to initially strong GWs. Pity nobody cares.

D.C.
May 12, 2010
 

 

=========================================
 

Subject: arXiv:1005.1614v1 [gr-qc]
Date: Tue, 11 May 2010 05:14:25 +0300
From: Dimi Chakalov <dchakalov@gmail.com>
To: Robert Geroch <geroch@uchicago.edu>
Cc: Alexander Vlasov <Alexander.Vlasov@pobox.spbu.ru>, qubeat@mail.ru

Robert Geroch, Faster Than Light? arXiv:1005.1614v1 [gr-qc]
http://arxiv.org/abs/1005.1614

R. Geroch: "I am not sure that this is the right perspective — or even whether “right” makes much sense in this context."


Bob, I think you can have your cake and eat it -- the key word is 'quasi-local',

http://www.god-does-not-play-dice.net/#topology

You and your Russian colleague are so good in math ...

D.
--------

Note: To explain quasi-local, and 'what is going on' in QM, check out Feynman [Ref. 1, 12-1]: 

"The first question we have to answer is: What are the base states for the system? Now the question has been put incorrectly. There is no such thing as “the” base states, because, of course, the set of base states you may choose is not unique. New sets can always be made out of linear combinations of the old. There are always many choices for the base states, and among them, any choice is equally legitimate. So the question is not what is the base set, but what could a base set be? We can choose any one we wish for our own convenience. It is usually best to start with a base set which is physically the clearest. It may not be the solution to any problem, or may not have any direct importance, but it will generally make it easier to understand what is going on."

There is such thing as “the” base state (never in plural) -- the UNdecidable KS state, as explained below.

For example, in the case of two spin-half particles, everything you insert in brakets

|1> = |++>, |2> = |+->, |3> = |-+>, |4> = |-->

... are just possible physical manifestations of  “the”  base state, much like the three sayings above, emanating from their UNspeakable potential-reality state of your brain.

Thus, the system {“the” base state & |whatever>} evolves along the arrow of spacetime in a strictly quasi-local fashion: see Fig. 1 and Fig. 2 below.

Feynman also stressed [Ref. 1, 12-2]: "That’s the question: How do the amplitudes change with time in a particular (fixed) base?"

The amplitudes change along the global mode of time: see again Fig. 2 below. Don't be befuddled by the anti-relativistic "time parameter" in the Schrödinger equation, because you need “the” base state to eliminate the measurement "problem" in QM and reconcile QM with STR, as well as solve the puzzle of quantum vacuum and gravitation: “the” base state does not gravitate.

It would be nice if Robert Geroch writes up a sequel to his 30-year old book General Relativity from A to B, entitled "General Relativity from A to A+ds", to elucidate the concept of 'interval' in GR -- professionally. But he wouldn't. Trying to discover new math is a tough challenge.

The last time I heard from Robert Geroch was eight years ago, only to require his email to be removed from my web site. I will gladly do that, if only he writes a serious paper on GR, or at least reply professionally. Here are two questions:

Do you believe that the "points" from the underlying manifold can be connected only and exclusively only by their physical content that is invariant under "active" diffeomorphisms? If your answer is 'no', what could be “the” base state in GR (a.k.a. the reference fluid of GR), which binds the "points" by one single unique bare UNdecidable matrix?

If your answer to the first question is 'yes', you are ready to teach GR and enjoy its generic pathologies [Refs 2 and 3].

It is generally believed that (i) one can picture the spacetime in GR as a manifold that can be "locally modeled" on some fictitious flat Minkowski space, but (ii) this picture should break down at short distances of the order of the Planck length. Neither of these ideas are needed, however. There is no need for any limitation in the possible accuracy of localization of spacetime events either. Why is that? Because the so-called Planck length may possess an inner geometrical structure.

Ignore it at your peril.
 

D.C.
May 12, 2010
Last update: May 14, 2010

[Ref. 1] Feynman Lectures on Physics. Volume III : Quantum Mechanics, Addison-Wesley, Reading, MA, 1965; ISBN: 9780201020144


[Ref. 2] José M.M. Senovilla, Singularity Theorems in General Relativity: Achievements and Open Questions, arXiv:physics/0605007v1

"The problem of the definition of the concept of singularity in General Relativity is very difficult indeed, as can be appreciated by reading on its historical development (Hawking and Ellis, 1973; Tipler, Clarke and Ellis, 1980). The intuitive ideas are clear: if any physical or geometrical quantity blows up, this signals a singularity. However, there are problems of two kinds:

• the singular points, by definition, do not belong to the space-time which is only constituted by regular points. Therefore, one cannot say, in principle, “when” or “where” is the singularity.

• characterizing the singularities is also difficult, because the divergences (say) of the curvature tensor can depend on a bad choice of basis, and even if one uses only curvature invariants, independent of the bases, it can happen that all of them vanish and still there are singularities.

"The second point is a genuine property of Lorentzian geometry, that is, of the existence of one axis of time of a different nature to the space axes.
...

"All in all, it seems reasonable to diagnose the existence of singularities whenever there are particles (be them real or hypothetical) which go to, or respectively come from, them and disappear unexpectedly or, respectively, subito come to existence.

"And this is the basic definition of singularity (Geroch, 1968; Hawking and Ellis,
1973), the existence of incomplete and inextensible curves. That is to say,
curves which cannot be extended in a regular manner within the space-time
and do not take all possible values of their canonical parameter.
...

"Singularities in the above sense clearly reach, or come from, the edge of space-time. This is some kind of boundary, or margin, which is not part of the space-time but that, somehow, it is accessible from within it."



[Ref. 3] Lars Andersson, The global existence problem in general relativity, arXiv:gr-qc/9911032v4

Footnote 1: "All manifolds are assumed to be Hausdorff, second countable and C∞ (maximal differentiable atlas, cf. Michael Spivak, Vol. 1, Ch. 2 - D.C.), and all fields are assumed to be C∞ unless otherwise stated."

Id., Notes on Differential Geometry, 1, p. 8:

"A differentiable manifold is a topological manifold M together with a differentable structure, i.e. a way of defining differentiable functions on M. The natural way of doing this (forget about this "natural way" - D.C.) is to use the charts [X] to transfer the definition of differentiable functions from Rⁿ to M."

 

===================================

Subject: The global existence problem in general relativity,
arXiv:gr-qc/9911032v4
Date: Wed, 6 Apr 2011 03:54:55 +0300
From: Dimi Chakalov <dchakalov@gmail.com>
To: Lars Andersson <laan@aei.mpg.de>
Cc: ehrlich@ufl.edu, chris.tsokos@gmail.com, keti@mat.unb.br,
hbrandt@arl.army.mil, ljalias@um.es, andrzej@math.ohio-state.edu,
fabrice.debbasch@gmail.com, sanchezm@ugr.es


Dear Dr. Andersson,

I suppose if you (i) do not assume upfront some space-like Killing fields, (ii) don't confine your analysis to some hypothetical vacuum spacetimes, and (iii) wish to avoid poetry [Ref. 1], you may have to start from scratch,

http://www.god-does-not-play-dice.net/about.html#GR

http://www.god-does-not-play-dice.net/#Ruben

http://www.god-does-not-play-dice.net/#LIGO

Perhaps the tasks are strictly mathematical.

Yours sincerely,

Dimi Chakalov
------
[Ref. 1] José M.M. Senovilla, Singularity Theorems in General Relativity: Achievements and Open Questions, arXiv:physics/0605007v1

p. 6: "This is some kind of boundary, or margin, which is not part of the space-time but that, somehow (Sic! - D.C.), it is accessible from within it."

 

===================================

Subject: Positive-mass conjecture in the case of
"more and more space appears" ?
Date: Wed, 2 Jun 2010 05:28:23 +0300
From: Dimi Chakalov <dchakalov@gmail.com>
To: Shing-Tung Yau <yau@math.harvard.edu>,
Richard M Schoen <schoen@math.stanford.edu>,
Niall Ó Murchadha <niall@ucc.ie>,
Claus Gerhardt <gerhardt@math.uni-heidelberg.de>,
Adam Helfer <adam@math.missouri.edu>


Dear colleagues,

As of April 2010, “over 2250 papers with the words ‘dark energy’ in the title have appeared on the archives since 1998, and nearly 1750 with the words ‘cosmological constant’ have appeared” (Shinji Tsujikawa, arXiv:1004.1493v1, p. 39).

I believe Michal Chodorowski explained, in arXiv:astro-ph/0610590v3, the meaning of "more and more space appears",

http://www.god-does-not-play-dice.net/#Blanchard4

It is totally unclear to me how one could define an isolated system in GR, in which "more and more space appears", to start thinking about some new positive-mass conjecture and the total energy in such "isolated system". Perhaps if one can demonstrate that _no_ asymptotically flat spacetime can be stable under the conditions of such (accelerated or not) "flux" of "more space", we will face a paradoxical situation similar to the ultraviolet catastrophe of late 19th century, after which some bright mathematician will sort out this whole mess.

Please advise.

With kindest regards and admiration,

Dimi Chakalov

===================

Re: Positive-mass conjecture in the case of "more and more space appears" ?
Date: Mon, 25 Oct 2010 15:11:29 +0300
From: Dimi Chakalov <dchakalov@gmail.com>
To: Shing-Tung Yau <yau@math.harvard.edu>,
Shing-Tung Yau <yau@ims.cuhk.edu.hk>
Cc: Chiu-Chu Melissa Liu <ccliu@math.columbia.edu>,
Mu-Tao Wang <mtwang@math.columbia.edu>,
Xiao Zhang <xzhang@amss.ac.cn>,
Lau Loi So <s0242010@gmail.com>,
Hsin Chen <hchen@ntnu.edu.tw>,
Fei-Hung Hoa <93242010@cc.ncu.edu.tw>,
Chih-Hung Wang <chwang@phy.ncu.edu.tw>,
Hwei-Jang Yo <hjyo@phys.ncku.edu.tw>


Dear Professor Yau,

I hope my email from Wed, 2 Jun 2010 05:28:23 +0300 has been safely received.

I believe some young and hungry grad student might crack the puzzle of quasi-local mass,

http://www.god-does-not-play-dice.net/#Hehl_final

If you and/or some of your colleagues know such person, please pass her/him the link above. The task is highly non-trivial and strictly mathematical, and also requires guidance from Shao Yong.

I also believe the future of new energy sources belongs to your country, but if you wish to extract energy from 3-D space, you should always follow the advice of Shao Yong. Since I haven't heard from you so far, it seems the latter turned out to be too difficult for you.

Yours sincerely,

Dimi Chakalov

-------
Examine the objects as they are and you will see their true nature; look at them from your own ego and you will see only your feelings; because nature is neutral, while your feelings are only prejudice and obscurity.

Shao Yong, 1011-1077

Fooling around with alternative current is juts a waste of time.
Nobody will use it, ever.

Thomas Alva Edison, 1889

 

====================================

Subject: arXiv:1107.1374v3 [math-ph] and arXiv:0912.2886v4 [math-ph]
Date: Fri, 29 Jul 2011 17:37:03 +0300
Message-ID:
<CAM7EkxkNe2NriAaNhSd60JnDeggcuqrUUQUmhqXnABtSZqANbQ@mail.gmail.com>
From: Dimi Chakalov <dchakalov@gmail.com>
To: Bert Schroer <schroer@cbpf.br>, bert.schroer@physik.fu-berlin.de
Cc: Carlos Perelman <perelmanc@hotmail.com>,
Robert M Wald <rmwa@midway.uchicago.edu>,
Stefan Hollands <HollandsS@cardiff.ac.uk>

Dear Bert,

You consider Haag's 1957 idea "of interpreting the spatial extend of a measuring device and the duration of its activation as an observable localized in the corresponding spacetime region fulfilling Einstein causality and an appropriately formulated causal propagation was (and still is) metaphoric if not to say naive" (arXiv:1107.1374v3 [math-ph], p. 8). His latest views are summarizer in [Ref. 1].

There is no such thing as "local covariance principle" (arXiv:0912.2886v4 [math-ph], Sec. 6 and p. 32).

Regarding the nonobservance of the holistic aspects of QFT (arXiv:1107.1374v3 [math-ph]), see a quasi-local approach to GR & QM at

http://www.god-does-not-play-dice.net/about.html#GR

http://www.god-does-not-play-dice.net/#shoal

I think the opposition to such proposals is not related to our current Zeitgeist. People just don't care. They live in total socialism and love to play with their hobbies.

Names? They're all at my web site.

All the best,

Dimi

[Ref. 1] Rudolf Haag, Questions in quantum physics: a personal view,
arXiv:hep-th/0001006v1
http://arxiv.org/abs/hep-th/0001006

"In simple cases the event may be regarded as the interaction process between a particle and a detector. But the notion of ‘particle’ does not correspond to that of an object existing in any ontological sense. It relates to the simplest type of global state and describes possibilities, not facts. The notion of ‘partial state’ demands in addition that we ignore all possible events outside some chosen region and thus ignore possible correlations with outside events."

 

=====================================

Subject:  "Dynamics of General Relativity" -- articles or manuscripts ?
Date: Sat, 28 Jan 2012 14:20:36 +0200
From: Dimi Chakalov <dchakalov@gmail.com>
To: Robert Beig <robert.beig@univie.ac.at>, esi2011.gravi@univie.ac.at

Dear Dr. Beig,

I wonder if one can read articles or manuscripts from the Workshop at ESI, entitled: "Dynamics of General Relativity: Numerical and Analytical Approaches", July 04 - September 02, 2011.

My work on the dynamics of General Relativity is posted at

http://www.god-does-not-play-dice.net/#Beig

I believe (and hope) it is drastically different from your approach, and need to be very well prepared for your conference in December this year.

Sincerely,

Dimi Chakalov

 

===============================



Printable version (Wednesday, 1 February 2012, 22:24:06 GMT) is available from here
(FI.pdf, 19 pages). Scribd version (old) at
http://www.scribd.com/doc/77244777/FINITE-INFINITY-Second-Edition

 

FINITE INFINITY (Second Edition)

 

Space inversion

Finite 3-D space (depicted with circle) obtained by snapping the
inversion of points along the  w  axis (sphere-torus transitions, Fig. 5).
Space becomes both "infinite" (local mode of spacetime) and bounded
from  S  and  L  (global mode of spacetime).

 

 

Abstract

To introduce "boundaries" on the physical spacetime at all (timelike, spacelike, and null) directions, I will consider an ideal dimensionless point of 'pure geometry', and will postulate a structure of such point: a dual presentation of 'the universe as ONE', interpreted along an axis (w) as both 'an infinitesimal' (S) and 'arbitrarily large volume of 3-D space' (L). Then I will suggest topological transformations of points (called 'space inversion') in an infinite-dimensional Euclidean space to obtain a 'collapse over infinity'-reduction of this unphysical Euclidean space to 'asymptotically flat 4-D spacetime' endowed with "boundaries" placed at the dual object, 'the universe as ONE'. The spacetime of 'the universe as ONE' is called 'global mode of spacetime', with equation  L = S = 1  (Eq. 2), while the equation of the Arrow of Space, generating perpetual emergence and re-creation of an asymptotically flat spacetime ('collapse over infinity'), is postulated as  LS = 1  (Eq. 1), in line with Virgil's dictum Mens agitat molem or Der Geist bewegt die Materie.

 

 

The quest for Finite Infinity has a long history, starting from Gunnar Nordström (Über die Möglichkeit, das elektromagnetische Feld und das Gravitationsfeld zu vereiningen, Phys. Z. 15 (1914) 504-506). It is an age-old problem of General Relativity. Nothing could be more important than understanding the topological manifold of the Universe, and its dynamics.

A rigorous definition of 'isolated gravitating system', which would ensure an "asymptotic regime such that all gravitational effects are localized inside of it" (Adam Helfer) and proper boundary conditions, is still an unresolved task: there are no physically motivated boundary conditions in the case of the Einstein equations; for example, "we do not know how to build a mirror for gravitational waves" (A. Rendall), nor can we resolve the paradox of geodesic incompleteness and "black holes". Moreover, how can we define an 'isolated gravitating system' and its (obviously) positive mass if the space itself is endowed with a new, dynamical "dark" energy? The calculating machinery of ADM, suggested half a century ago, doesn't work anymore. Enter the Finite Infinity (FI).

In a nutshell, the idea of FI is to suggest a mechanism for obtaining a finite volume of Archimedean 3-D space. The very notion of 'finite 3-D space' implies the existence of two distinguishable volumes of 3-D space, separated by a "trapped" surface (cf. lion's cage below), such that we can always define the notions of 'inside vs outside' (hence "large" vs "small") and 'left vs right'. (In order to eliminate the absolute structure of 'size', we will introduce later the so-called Scale Relativity Principle, SRP.) Now, how can we introduce some process and mechanism by which 'finite space' can be fixed at all length scales, in such way that 'physical space' will never actually reach zero nor infinity but will always remain 'finite' ? We will use an infinite-dimensional Euclidean space and will introduce smooth sphere-torus conversions in it, along a new axis  w  , such that these sphere-torus conversions snap and fix all Archimedean volumes of 3-D space from both "below" and "above" (cf. Fig. 5). Hence space becomes both "infinite" (local mode of spacetime) and bounded from  S  and  L  (global mode of spacetime). The latter is physically unobservable, because we're stuck in the Archimedean 3-D space and don't have access to 'actual infinity'. Only Chuck Norris has been there (twice).

As in a good crime novel, all will become crystal clear at the end. Well, eventually.

Some history. The notion of 'finite infinity' (Fi) was suggested by George F R Ellis in 1984; please see:

George F R Ellis, gr-qc/0102017v1, Sec. 5, "Finite Infinity and Local Physics",
http://arxiv.org/abs/gr-qc/0102017

"This led me some years ago to ask the question: ‘How far away is an effective ‘infinity’ to use in discussing boundary conditions for local physical systems of this kind?’ (...) Then incoming and outgoing radiation conditions can be imposed on that surface F, rather than at infinity or conformal infinity I as is usual [57]. (...) Furthermore the famous positive mass theorems [64] should also be generalized to this case.
...
"This may also be the best setting for numerical calculations for ‘isolated systems’, which often talk about ‘integrating to infinity’, but in most cases do nothing of the sort. As in the rest of theoretical physics, it would be advantageous to have a theoretical framework that corresponds more closely to actual calculations - namely an integration to a surface at a finite distance from the centre of coordinates. It is usual to make that surface a null surface; the suggestion here is that it would be better to make it timelike, corresponding to the region in the real universe where the exterior is physically separated from the local system.

"So the obvious proposal [54] is that we should put boundary conditions on all fields at that distance, rather than at infinity itself, leading to the concept of a 'finite infinity' FI ... "
--
[54] Ellis G F R, Relativistic Cosmology: Its Nature, Aims and Problems, in: General Relativity and Gravitation, Ed. B. Bertotti et al., Reidel, Dordrecht, 1984, pp. 215-288; cf. Sec. 5.2 and Fig. 11(c).
 

See also: Ehlers J (Ed) (1979). Isolated Gravitating Systems in General Relativity. Proc Int School Enrico Fermi Course LVII (Academic Press, New York).
http://www.directtextbook.com/prices/0444853294

-------------

By using exclusively the notion of 'potential infinity', Stephen Leacock posed the dilemma of 'infinite space' in the following fashion:

"We cannot imagine that the stars go on forever. It’s unthinkable. But we equally cannot imagine that they come to a stop and that beyond them is nothing, and then more nothing. Unending nothing is as incomprehensible as unending something."

In order to resolve the conundrum of 'ending something', notice that the nature of the local Archimedean mode of spacetime (cf. below) is determined by 'potential infinity': every step toward the Finite Infinity provides the necessary and sufficient condition for the next step, just as in the Thompson's lamp paradox. If we go in the "direction" toward 'the infinitesimal' (S), one can (with some luck) work out a cutoff and end-point, but it will belong, again and always, to the local ("colored") mode of spacetime (see the story about 'John's jackets' below).

If we wish to work out a proper Finite Infinity, the obvious choice is to introduce a new 'cutoff and end-point' conjugated with the infinitesimal,  S , and to employ the two forms of 'infinity': potential and actual. The latter is 'already completed', in the sense that (i) it does not entail any "dynamics" that can be recorded with a physical clock, and (ii) applies only to the global non-Archimedean mode of spacetime.

We begin with postulating an uncountably infinite "number" of points packed in any finite -- arbitrarily "large" or arbitrarily "small" -- line segment, plane, or volume of space in the local (physical) mode of spacetime, in such way that 'there is nothing ]between[ these points'. Then we will "insert" the global mode of spacetime ]between[ the points from the local mode, and will make sure that the global mode is non-existent in the local mode, with the sole exception of the instant 'now' from the Arrow of Space, in which the two modes of spacetime coincide (cf. Fig. 1 below).

Notice the crucial difference between the two modes of spacetime: in the local mode, a test particle equipped with a clock reading its proper time will need a finite Archimedean time interval to pass through a finite Archimedean volume of space, even if the test particle travels with the speed of light. It cannot pass through a finite volume of space for 'zero time', even if the volume of space is 'tending asymptotically toward zero', as in the case of the empty set (R). Thus, it will always need 'more Archimedean time' to pass through all uncountably infinite points from the perfectly smooth continuum of the local (physical) mode of spacetime. This is the essence of 'potential infinity', and it is valid only for the local mode of spacetime.

Hence the interpretation of 'the infinitesimal' as the empty set (R): in the local mode of spacetime, it is and will always remain a finite entity, tending asymptotically toward zero, being comprised from uncountably infinite points. In the global mode, however, it is a purely geometrical, dimensionless point -- just one single geometrical point (Fig. 1).

NB: This one single geometrical point cannot be reach from/within the local (physical) mode of spacetime, for any finite duration of time, as read with a physical clock. Why? Because its physical content (jacket) is UNdecidable, after the Thompson Lamp paradox.

Thus, the empty set (R) is endowed with a structure, as hinted in Fig. 1 below, and with 'space inversion' (Fig. 1.1). It is the flashmob for the two modes of spacetime, at which they "coincide". It is also the instant 'now' (now-at-a-distance) from the Arrow of Space. And thanks to the so-called "speed of light", it has zero duration and zero spatial extension.

Compared to the local mode, the global mode of spacetime is ontologically different: it is a non-Archimedean realm of 'potential reality' (GPIs), which can traverse any finite -- arbitrarily "large" or arbitrarily "small" -- line segment, plane, or volume of space from the local (physical) mode of spacetime for zero time, as it would have been read by the clock attached to a test particle from the local mode. Namely, the global mode is equipped with 'actual/completed infinity': it can traverse the uncountably infinite points of any finite object for zero time (as it would have been read by the clock attached to the test particle from the local mode), and endows the local mode with a web of "instantaneous" correlations (as they would have been read by an inanimate clock from the local mode). With the Arrow of Space, such kinematics gives rise to a new dynamics resembling a living organism: a 'school of fish'-type bootstrapping of physical systems in their quantum and gravitational regimes, and quasi-local geodesics, in line with the rule 'think globally act locally' (hence one can introduce a background-free, relational reality and Machian quantum gravity).

The question of what kind of 'global time' runs in the global mode of spacetime, equipped with "instantaneous" actual infinity, can be answered by explaining its corresponding 'global space' and the non-Archimedean structure of the purely geometrical GPIs in it.

In general, the quest for amending Finite Infinity with an Arrow of Space is highly non-trivial, because we should also consider the following tasks:

1. The two modes of spacetime are separated by the fleeting instant 'now' from the Arrow of Space, namely, the global mode is placed in the realm of 'potential reality' (GPIs residing in the potential future in the Arrow of Space), while the local mode refers to the irreversible world of explicated GPIs in terms of facts, placed in the steadily increasing 'irreversible past' from the Arrow of Space. Such 'ever-increasing past' is what makes an 'arrow', due to irreversible 'information gain': every instant 'now' pertains to an explicated physical universe, which contains more information that its immediate predecessor in the 'ever increasing past', and at the same instant 'now' the physical universe is offered an enriched spectrum of potential states to choose from for its next instant 'now', just as in the cognitive cycle of Ulric Neisser (Fig. 2 and Ch. 2 and 4).

Metaphorically speaking, the Arrow of Space is depicted with the Dragon devouring its tail (Ouroboros), from the Chrysopoeia ('Gold Making') of Cleopatra during the Alexandrian Period in Egypt. The enclosed words mean 'The All is One.'

The ultimate source for such information gain is 'the true monad without windows' which remains at absolute rest within the instant 'now' (see below), depicted with Fig. 1 below.

1.1. The only "meeting point" of the two modes of spacetime is the instant 'now', in which they coincide (Fig. 1). The result is an already completed and already negotiated physical universe, spanned across the absolute instant 'now' from the Arrow of Space, with 3-D space and zero "thickness" along  w  (cf. below), in which “there’s energy in the gravitational field, but it’s negative, so it exactly cancels the energy you think is being gained in the matter fields” (Sean Carroll); check out the Photoshop layers metaphor below and the resulting non-linear dynamics here.

2. The unique "boundaries" on 3-D space in all (timelike, null, and spacelike) directions, introduced with Finite Infinity, should make the universe an 'isolated system', which (i) contains 'absolutely everything', included its Aristotelian First Cause, (ii) is self-enclosed (Albert Einstein), and (iii) is "bounded" by some ambient unphysical spacetime (called here 'global mode of spacetime') which is part and parcel from the same 'isolated system'.

2.1. To describe such 'universe as ONE' -- self-wrapped (cf. (iii) above) and endowed with the faculty of 'self-acting' due to its "gravitational field" -- one needs to place its source "inside" the instant 'now' from the Arrow of Space (Fig. 1), and make sure that the so-called "dark" energy of 'the universe as ONE' is unobservable in principle.

3. Last but not least, the ultimate source of 'the universe as ONE' should be interpreted as 'zero nothing', that is, a special kind of "zero" opposite to the mundane case of 'zero something'. Perhaps the only way we could grasp the notion of 'zero nothing' or 'the true monad without windows' is by recalling the relation between the content and volume of concepts: the larger the volume, the smaller the content; hence the source of 'absolutely everything, the unknown unknown included' should possess zero intrinsic content (cf. the undefinable matrix).

I haven't been able to find suitable mathematical formalism to describe these widely known ideas. All I can offer is a simple (but incomplete) geometrical explanation of Finite Infinity.

Firstly, there should exist a maximal volume of 3-D space (L), at which we place the Finite Infinity (FI), such that any finite volume of space, no matter how large, is identified as an Archimedean sub-volume smaller than the 'maximal space volume',  L . Likewise, there should exist a minimal volume of 3-D space (S), at which we place the same Finite Infinity (FI), such that any finite volume of space, no matter how small, is identified as an Archimedean volume larger than 'the minimal space volume',  S .

Secondly, the two physical, finite, Archimedean volumes of space tend asymptotically toward  L  and  S  in the local (physical) mode of spacetime, but cannot reach them for any finite Archimedean duration of time due to the "structure" of the empty set (R) at which the global mode and the local mode coincide (Fig. 1).

The 'no-go' axiom about the empty set (R) ("cannot reach them for any Archimedean duration of time") stems from our belief (not 'fact') that there exist, in the local mode of spacetime, an 'uncountably infinite' "number" of points between any finite Archimedean volumes of space and their "two" cutoffs, L and  S : the empty set (R) cannot be bridged by any finite Archimedean system for any finite duration of time, even if it jumps over the points with the "speed of light". That is, in the local mode of spacetime the empty set (R) is 'finite' entity, and will always occupy a finite, albeit "very small", volume of space packed with 'uncountably infinite' points arranged by 'potential infinity'. On the other hand, the same empty set (R) is consumed/traversed instantaneously in the global mode of spacetime, which has non-Archimedean nature and is endowed with 'actual/completed' infinity.

Thus, we shall place the "two" cutoffs, L and  S , within the red point in Fig. 1 below, stressing again its UNdecidable nature (Thompson Lamp paradox) of 'potential reality': pre-quantum non-colorizable General Platonic Ideas (GPIs).

FI Postulate: Due to the Thompson Lamp paradox, any finite, arbitrarily "large" or "small", Archimedean volume cannot physically reach  L  and  S  residing in the global mode of spacetime, equipped with actual infinity.

A precise explanation of 'physically reach': in the local (physical) mode of spacetime, we always reach/nullify the empty set (R) at the point of '2 min', which is why the state of Thompson's lamp is always defined by the rules of 'bartenders', but it is just a fleeting "jacket" cast by John from the global mode of spacetime. The latter is endowed with actual infinity. In other words, in the global mode of spacetime the interval [0, 2] is closed, while in the local mode the same interval is open -- (0, 2).

Thanks to the Arrow of Space, the 'large finite volume' will chase  L  in the local mode indefinitely; in the local mode of spacetime the empty set (R) can only tend asymptotically toward zero. The same holds for the opposite case of the separation of any arbitrarily small Archimedean volume of space from  S  by the same empty set (R): in the local mode, it would require an infinite -- actual infinity -- amount of time for the elimination of the empty set (R) and reducing it to zero, at which point the Arrow of Space would stop, and the universe would cease to exist.

Notice that the FI Postulate introduces new structure of spacetime at the level of 'differentiable manifold' prior to any matter; example here.

The very notion of 'space' requires that all physical objects acquire finite Archimedean size; a table with length 'one meter' fills in a template for 'one meter'. In the case of an one-meter template, we observe a finite table with length one meter, which is again a 'sub-volume of finite space'. The purpose of Finite Infinity (FI) is to define the largest template and the smallest template for all finite volumes of 3-D space.


The maximal volume of 3-D space,  L , and minimal volume of 3-D space,  S , belong to the global mode of spacetime for which the actual infinity holds ('already completed'), and are related by

LS = 1  (Eq. 1).

Thanks to the empty set (R), no physical, Archimedean stuff can 'physically reach'  L  and hence go "beyond"  L  , and also no physical stuff can 'physically reach'  S  and hence go "below"  S  (compared it to the conformal recipe): L & S  is ONE object which belongs to the non-Archimedean global mode of spacetime.

In a nutshell, the modified Finite Infinity satisfied two conditions: in the local mode of spacetime the universe approaches asymptotically its causal boundary (cf. Eq. 1 above) within an open interval, while at the same time the universe is being (present continuous) permanently wrapped by itself in the global mode of spacetime. Hence 3-D space can be literally wrapped by itself, exactly as Albert Einstein required.

Again, there is no path whatsoever to the global mode of spacetime from the local mode of spacetime; hence the FI Postulate above. The difference between  S  and  L  is that in the case of the former we can find some 'numerically finite but physically unattainable boundary/cut off' (the Planck length), but for  L  we have only an eternally expanding 'sub-volume of finite space', which can only chase  L  but can never physically reach it: L  and  S  belong to the non-Archimedean global mode of spacetime.

It is the Arrow of Space which creates such asymmetry in the treatment of   L  and  S . We have a numerically finite but physically unattainable "bottom", while space "expands" in the local mode toward  L  indefinitely: at each and every instant 'now' from the Arrow of Space, the universe occupies a finite sub-volume, being literally wrapped from both "below" and "above" with Eq. 1 above. Depending on the direction we look at the edge of the universe in the local mode of spacetime, either toward  L  or toward  S , we see "two" edges, while in the global mode they are ONE -- the universe as ONE, as stressed by Lucretius some 2060 years ago. We don't have such structure of spacetime in differential geometry textbooks.

Notice that we face here a kind of 'logical infinity': no physical, Archimedean volume of space can reach  L , because  L & S  belong to the 'the universe as ONE' (Eq. 1 above). In other words, one could logically reach something only if this "something" is 'not yet reached', while in our case it is logically impossible to "reach" something (L) which is being eternally residing "inside" us (S) from the outset. Thus, the notion of 'logical infinity' refers to the statement that if the Arrow of Space is terminated, the universe will cease to exist and will return to its initial state of pure light and cognition, known as [John 1:1].

Without the global mode of spacetime, the universe would be governed exclusively by Archimedean geometry, conformal recipes would have worked, tessellation of space with 3-D "tiles" would have been possible, and we would calculate the exact finite number of "atoms" filling a finite volume of space without any gaps from the empty set (R): we would hit an "end-point" beyond which "is nothing, and then more nothing" (S. Leacock). Thank God, this is impossible.

Again, we cannot physically "see"  L & S , because we don't have access to 'actual infinity'. Only Chuck Norris has been there (twice).
----------

Now, let me try to explain geometrically the empty set (R), which would "point" to the "dimension" of space, denoted with  w  (from wunderbar, after Theodor Kaluza), of the postulated global mode of spacetime (pictured with red; local mode with black).

The size of physical bodies along  w  are zero, because  w  lives only at the fleeting instant 'now'  -- a purely geometrical "point" at which the two modes of spacetime, global and local, coincide. Attached to the same instant 'now' is a 'pocket of propensity states' in the global mode of spacetime, called General Platonic Ideas (GPIs); check out GPIs in the human brain (not "mind") here.

First, the dimensionless instant 'now', at which the two modes of spacetime coincide:
 

Fig. 1
 

Fig. 1.1
Space inversion with respect to the instant 'now' (Fig. 1).

The so-called 'space symmetry' in the global mode of spacetime (pictured with red) is defined as two interchangeable and
simultaneous presentations of any finite volume of space from the local mode (pictured with black circle), such that a global
observer can monitor any finite volume of space in the two
directions of  w  simultaneously, as explained in Wiki: (i) from the
center of the circle (Fig. 1) "outside" in all radial directions, and
(ii) from "outside" the black circle (2-D trapped surface of lion's cage) toward the center of the circle along the same T-inverted radial directions (not shown). In 2-D space, the "trapped surface" is a circle; in 3-D space it is a sphere with radius r (Fig. 4.2). In order to derive the circumference of the black circle, consider the two red rectangles (sides n = 4), and start doubling their parameter n , after Archimedes. At the instant 'now' from the Arrow of Space (Fig. 1),  n  reaches actual/completed infinity and the inscribed and the circumscribed polygons shift to 'pure geometry' of 'the grin of the cat without the cat', as observed by Alice (in the LHS of Einstein field equation).

 

The sides of the polygons are converted into uncountably infinite "geometrical points", each of which can take a fleeting physical (colored) "jacket" in the local mode of spacetime (cf. the parable of John's jackets below).

If we apply space inversion along the two "directions" in the drawing from Mark Armstrong below, we can grasp the notion of Finite Infinity: every volume of 3-D space is being snapped like the circumference of a circle, along the two "directions" of  w  (see Fig. 5 below), thanks to which it becomes a finite entity. Voila!
 

M.A. Armstrong, Basic Topology, Springer, 1997, p. 104

In the local mode of spacetime (pictured with black), we multiply the dimensionless point in Fig. 1 along one dimension in two opposite directions, to obtain 2-D spacetime. For the purpose of this presentation, the time direction will not be shown. Notice that 1-D space is endowed with T-invariance: we can flip all the points to the right with those to the left (Fig. 2.1), and vice versa, with respect to the initial point in the middle (Fig. 2.2).
 

Fig. 2.1
 

Fig. 2.2

 

The next step is constructing 2-D space from Fig. 2.2, by introducing a second spatial dimension, again with two directional degrees of freedom, and move all points from 1-D space, en bloc, in two opposite directions (Fig. 3.1).
 

Fig. 3.1

Fig. 3.2

Fig. 3.3

Notice that Fig. 3.2 is a Flatland universe (time dimension not shown) in which Flatlanders enjoy PT-invariance: swapping the points along the horizontal line (Fig. 3.2), with respect to the vertical line, will bring T-symmetry, while the vertical flip, with respect to the horizontal line, will produce a mirror image with 'right' and 'left' interchanged. If we try to apply Finite Infinity to such Flatland universe, the two spatial dimensions will be "bounded" by the non-physical (to Flatlanders) third spatial dimension in which their space would look extrinsically "curved", with "tangential surfaces" attached to one "point" but spanned in the third spatial dimension.

In the current GR textbooks and tutorials, the black and red points in Fig. 3.3 are fused with the rules of diff calculus, after Leibniz; then people claim that in "sufficiently small" (notice the poetry) neighborhood around such fused black/red point "it is possible to choose a "locally inertial coordinate system" such that, within a sufficiently small region of the point in question, the laws of nature take the same form as in unaccelerated Cartesian coordinate systems in the absence of gravitation" (cf. below). What a mess.

Going back to the Flatland: we, as "global" observers, can "see" all points from Fig. 3.2 en bloc, while the Flatlanders will encounter obstructions from a line: it will be like an infinite 1-D wall which prevents them from seeing "behind" the wall. We can "see" all the points from Fig. 3.2 simultaneously, en bloc, which would translate to Flatlanders as 'keeping simultaneously two inverted images from their Flatland', one with T-symmetry and a second one with P-symmetry. Regarding their 'time', the Flatlanders will be totally puzzled by our ability to oversee en bloc their two paths from A to B in their (t+)-direction, and from B to A in their (t-)-direction. They don't have such clock, and will claim that our "time" is dead frozen (much like 3-D people do in canonical quantum gravity).

It requires far more efforts to elaborate on the example from Wiki about an infinite 2-D plane in our 3-D space, which poses no restrictions to "observers" in the global mode along  w  , equipped with actual infinity and capable to "see" simultaneously all points from our 3-D space both en bloc and inverted with 'space inversion' (cf. Fig. 5). Notice that we have three such restrictive planes in 3-D space (xy, xz, and yz, cf. Fig. 4.2), and enjoy CTP-invariance upon "swapping" the points via the global mode of spacetime, as we did in Figs 2.1 and 3.1 above.

The new symmetry, called 'space inversion', should eliminate all fixed relations in the Archimedean 3-D space, such as 'large vs small' or 'inside vs outside'. Otherwise our 3-D space will not be dynamical, but will impose a fixed background for the length scale in terms of absolute size of objects in 3-D space. Once we eliminate the absolute Newtonian time, we should eliminate all absolute structures from 3-D space as well.

To elaborate on the example from Wiki, I suppose one could "see", from the global mode of spacetime, two superposed P-invariant images of "the lion", obtained after the inverted (w.r.t. the cage surface) 3-D space. Such symmetry is literally about inverting all the "points" trapped inside a finite volume of space approaching asymptotically S  with all the "points" from the finite volume of space approaching asymptotically, in "opposite direction",  L , which remain outside that "shrinking" finite volume of space (Fig. 1.1). The "number" of points in any finite volume of space is 'uncountably infinite', so there should be no obstacles to perform such 'space inversion'.

Let's start with endowing the Flatland with a spatial dimension, by moving all the points from Fig. 3.2 en bloc along two opposite "directions", up (toward L) and down (toward S):
 

Fig 4.1

Fig. 4.2
The "expansion" of 3-D space (S < r < L)

The two opposite "directions" along  w , inferred from Fig. 4.1, are absent in Fig. 4.2. One is toward the Small (S); the other runs in the opposite direction along  w , toward the Large (L). In the instant 'now' (Fig. 1), these additional geometrical degrees of freedom are set to zero, as explained in the beginning of this exercise -- they are hidden within the empty set (R). The meaning of 'set to zero' corresponds to 'spontaneous broken symmetry' (cf. below): we end up with only one "charge" of mass, and the wunderbar (after Theodor Kaluza) dimension  w  is being literally eliminated, thanks to which we obtain the good old 3-D space of classical physics. It doesn't contain any trace from the "negative mass", but two worlds with inverted spacetime basis, material and tachyonic, separated by a luxonic "surface":

Max Tegmark, arXiv:gr-qc/9702052v2, Footnote 4: "The only remaining possibility is the rather contrived case where data is specified on a null hypersurface. To measure such data, an observer would need to "live on the light cone", i.e., travel with the speed of light, which means that it would subjectively not perceive any time at all (its proper time would stand still)."

Due to the 'spontaneous broken symmetry' (cf. below), we have two kinds of mass in the picture above, real and imaginary (tachyonic), safely separated by a timeless luxonic world of zero, or rather indifferent mass, which keeps the dimension  w  totally hidden.

Notice that, in addition to the three planes in 3-D space (xy, xz, and yz) and their corresponding transformations or "swapping the points" (CPT-invariance), we have a new 'space inversion' symmetry, as mentioned in the discussion of Fig. 1.1 above.


NB: This exercise will be really tough. Try to imagine the "trapped circle" from Fig. 1.1 as "trapped 3-D space", that is, a 3-D "rubber glove" hypersurface which can be seen along the two directions of  w  as two simultaneous "gloves", right and left, corresponding to the unbroken symmetry of the GPI field (see below) inhabited by the unphysical, GPI states of negative & positive mass.

You will have the unique freedom to "look" at the 3-D hypersurface simultaneously along the two directions of  w  : from 'inside-out' and from 'outside-inside' (cf. the drawing from Mark Armstrong below), corresponding to 'sphere' and 'torus' (cf. Fig. 5).
 

M.A. Armstrong, Basic Topology, Springer, 1997, p. 104

 

Such simultaneous viewpoint is impossible to imagine, as hinted in Wiki, but if we lower the dimensions of the physical space to 2-D spherical surface trapped by the six red planes in Fig. 4.2, the 'inside-out' view will display all points from the 2-D spherical surface, as seen from the center of Fig. 4.2 along all radial directions 'inside-out', and by executing 'space inversion' with respect to the 2-D spherical surface ("lion's cage") we will see again all points from the finite 2-D surface from 'outside-inside', along the inverted radial directions, keeping the two presentations of the 2-D "rubber glove" (left and right) simultaneously available to our  w - inspection. However, we cannot "move" the unique object at the center of Fig. 4.2, shown with the red point in Fig. 1 above: it is in 'absolute rest' and is residing both inside every point from the physical 3-D space and outside the physical 3-D space, as The Beginning (see below) of the two viewpoints at the 3-D "rubber glove" hypersurface along  w , from 'inside-out' and from 'outside-inside'.


Last but not least, the aim of the putative space inversion is to recover 'asymptotically flat spacetime' with the two 'viewpoints' along  w . Look at Fig. 3.2 above, and picture it as a clock, such that Fig. 1 is placed at the center, and four red segments tangential to 12, 3, 6, and 9. Imagine one radius "connecting" (not quite: see Fig. 4.3) the center to 9, and blow up the circle by instructing the radius to reach infinity and pass "over" it. The conventional wisdom tells us that the circle will "degenerate", or rather "collapse", to 1-D Euclidean space presented with the vertical red line at  9  (Fig. 3.2) at the very instant at which its radius is exactly infinite, but at that same instant the two points in the orthogonal direction, 12 and 6, will ultimately break up. Once it passes "over" infinity, the object will regain its 2-D status, but will be converted into two finite cross-sections of a torus. Notice that at the instant of 'collapse over infinity' all points from the circle in Fig. 3.2 will be arranged in 1-D space, like those in Fig. 2.2 above.

Now, if we keep the radius constant, such non-smooth topological transition will match a well-known screensaver in Windows 97, half of which is depicted with the drawing from D. DeCarlo and D. Metaxas (1996) below.

But our case is different, since we wish to recover the asymptotically flat spacetime "around" the critical 'collapse over infinity' instant, with positive and negative space curvature inherited from the circle and the torus. Namely, after passing through this critical instant, not just one but all "inflating" radial directions -- except for the center, see Fig. 1 -- will be inverted, as explained in the exercise above. If we wish to start by inflating the torus from 'case (e)' above, along the opposite direction in  w , we will again pass through the same 'collapse over infinity' instant, "around" which we imagine some 'asymptotically flat spacetime', after which we will wind up in the "clock" case from Fig. 3.2, only this time its radius will be shrinking toward the center of the clock. Please keep these two invertible T-invariant images passing through 'asymptotically flat spacetime' in your mind. All we need now is to replace the circle/torus with the 3-D "rubber glove" hypersurface from the exercise above.

Again, the two opposite directions along  w  are totally hidden inside the luxonic world (cf. Max Tegmark above) with indifferent (zero) mass. Physically, the two directions of the circle/torus conversion in the global mode of spacetime, along  w , are totally hidden, their duration is zero, and we can only imagine two atemporal waves, depicted with the Escher hands, by which all non-linear negotiations in 'the school of fish' are completed for zero time, as read with your wristwatch: we can never see Macavity.
 

 

Notice that I haven't tried so far to introduce any 'distance function'. I have only an uncountably-infinite 'points' ordered with the relation of intermediacy, [A (zero) B], which is interpreted as "zero is ]between[ A and B". The unique object with zero physical presence in the local (physical) mode of spacetime is The Aristotelian Connection of 'the universe as ONE' (cf. the red dot in Fig. 1). It is manifested by purely affine connection facilitating parallel transport of vectors in the local (physical) mode of spacetime, from one spacetime point to the nearest point, and is independent from the metric.

First and foremost, I need to eliminate all absolute structures in 3-D space, such as 'absolute size', by allowing the 'templates for finite space' to shrink toward  S  and expand toward  L , as viewed by an observer at the length scale of tables and chairs, and also providing invariant size of all object toward  S  and toward  L , as seen by a co-moving observer. In other words, we need a dual, scale-dependent metric to define 'distances in 3-D space'. Then the "expansion of space" can be explained as an illusion observed only from the length scale of tables and chairs. Ditto to the "non-accelerated" shrinking of the "size" of objects toward  S , in line with the so-called 'scale relativity principle' (SRP). The latter is an elaboration on the old idea about 'the mutual penetration of the Large and the Small'. Who has "the right meter"? Nobody. This is the essence of SRP. Simple, no?

NB: To explain the 'templates for finite space' and their "dark" influence on matter and fields, recall the operational definition of 'second': the total duration of 9,192,631,770 transitions between the two hyperfine levels of the ground state of the cesium 133 atom, provided the cesium atom is "at rest at a temperature of 0K, such that the ground state is defined at zero magnetic field" (reference here). In the local, Archimedean mode of spacetime, we imagine that the distance between every two neighboring dots from the drawing below refers to one transition between the two levels of the ground state of the cesium-133 atom, and that the total of such physical, Archimedean distances, comprising 'one second', is exactly 9,192,631,700:

 

{..............................................}

 

This is clearly an unfeasible Gedankenexperiment, which cannot be reproduced. Most importantly, the "intrinsic time interval associated to any timelike displacement" (Ted Jacobson, pp. 18-19), defined here as 'the elementary tick of time  ]between[  two purely geometrical points ordered with the relation of intermediacy [A (zero) B]', can be defined only in the global, non-Archimedean mode of spacetime. These are 'invariant templates' for finite durations of time and finite volumes of space, which approach asymptotically  L  and  S . But why 'invariant' ?

There should exist some atemporal process of "reading" all points from such 'finite template' en bloc, with an invariant "speed" of light, as 'uncountably-infinite elementary "ticks of time" per second'. Such atemporal process of "reading" all uncountably-infinite points en bloc is essential for the metaphysical principle of locality. Unless we encounter relativistic effects such as time dilation, this "reading" does not slow down. The 'invariant templates' define the very existence of finite entities in the physical world, such as 'one meter'. They define invariant length of 'one meter' to all observers, but define the 'distance function' relationally, according to the 'scale relativity principle' (SRP).

The alteration of these templates, relative to an observer at macroscopic length scale, produces purely geometrical effects (interpreted as "black holes" and "expanding space"), yet a co-moving observer will not notice any alteration of her intrinsic 'distance function'. Again, this is the well-known idea about 'the mutual penetration of the Large and the Small', which can start only from the macroscopic length scale in the two "directions" along  w , toward  L  and toward  S .

With SRP and its dual spacetime metric, one could alter the "distances" in 3-D space in such a way that a "reactionless" alien visitor craft (AVC) will travel with speed "one meter per second" (relative to the people in the AVC) to cover the size of a galaxy (relative to observers outside the AVC). You won't notice your "speeding", but you will notice that the space in front of you is running towards you, just like with the Alcubierre warp drive. In SRP, the question of 'who has the right meter and the right second' is meaningless. In present-day GR, the question of 'who has the right meter' is answered with absolute size of objects in 3-D space, toward  L  and toward  S , which is nothing but 'looking for a right answer to a wrong question'.

Fig. 4.3 below shows the main idea of Finite Infinity.
 

And finally, let's see how the  w  axis will look in the global mode of spacetime (Fig. 5), by combining Fig. 1 with the blow up of Fig. 3.2 at the point " 9 o'clock " (not shown).
 

Fig. 5

The red/black point in Fig. 5 belongs to an asymptotically flat, physical, 4-D spacetime; the vertical black line is taken from Fig. 2.2. above. The right part from Fig. 5 shows the T-invariant (cf. the drawing from Mark Armstrong above) "blow up" of the circle from Fig. 3.2, by watching the point at "9 o'clock" (see above): at the critical 'collapse over actual infinity' instant, at which the radius of the circle in Fig. 3.2 is exactly infinite, we would have obtained an absolutely flat 4-D spacetime, which is why I talked, for the lack of better wording, about "around the critical 'collapse over infinity' instant". The left part from Fig. 5 shows a segment from a torus -- see the drawing from DeCarlo and Metaxas above, 'case (e)', and the explanation of 'space inversion', about the two simultaneous viewpoints at the 3-D "rubber glove" Cauchy hypersurface, from 'inside-out' (right part from Fig. 5) and from 'outside-inside' (left part from Fig. 5). The horizontal  w  axis is the one along which 'the mutual penetration of the Small and the Large' begins from the macroscopic length scale, as discussed above. Hence the only remnant from  w  in our asymptotically flat spacetime (called 'local mode of spacetime') is depicted with the two red lines in Fig. 4.3 above, placed at  S  and at  L .

Notice that the horizontal  w  axis is not a 4th spatial dimension, because the new degrees of freedom to "look at" the 3-D "rubber glove" Cauchy hypersurface entail moving simultaneously along all directions in the local mode of spacetime, from any point in 3-D space, from both 'inside-out' toward  L  and its time-reverted direction toward  S . This is impossible in 3-D space, as explained in Wiki below, but recall that these are the "directions" of the Arrow of Space: the elementary 'change of space' is nothing but the elementary increment of our physical time, as read with our clocks -- it isn't a "vector". Thus, the global mode of spacetime and the axis  w  of the Arrow of Space could only be perceived by us as "occurring" in some infinite-dimensional Euclidean space, much like a Flatlander (cf. Fig. 3.2) would be totally puzzled by our 3-D viewpoint, and would also have to imagine some higher-dimensional space to accommodate our 3-D viewpoints inside his Flatland.

To visualize these smooth torus-sphere transitions over the 'collapse over infinity' instant 'now' (Fig. 1), hence the re-created 'asymptotically flat 3-D space', look carefully at the drawing below, from Eric Schechter (5 December 2009, emphasis added): "There are no points for plus or minus infinity on the line, but it is natural to attach those "numbers" to the endpoints of the semicircle."

The point denoted with 'zero' from the vertical line corresponds to the point at "9 o'clock" in Fig. 3.2 above (not shown). Notice that every point from the circle in Fig. 3.2 above will pass over the 'collapse over infinity'-instant, and at this instant its two conjugated endpoints, from the direction orthogonal to the horizontal line segment pictured here, will "break up" the circle and will convert it into a (hyper?) torus. The 3-D space at the exact 'collapse over infinity' instant would be absolutely flat, and would contain just a bare red point from Fig. 1 above, known as [John 1:1]. Which is why I talked, for the lack of better wording, about "around the critical 'collapse over infinity' instant", to describe the asymptotically flat 3-D space, hence 4-D spacetime, of present-day GR.
 

But look at Eq. 1 above: in the global mode of spacetime, we can set  L and  S  to take values of some dimensionless variable "measured" along  w ; all we need is to ensure that  L and  S  take reciprocal values, until they snap to

L = S = 1  (Eq. 2).

Eq. 2 describes 'the whole universe as ONE' in its global mode of spacetime, inhabited only by GPIs. The Arrow of Space runs simultaneously along the two "opposite directions" from  w , and at each and every instant 'now' (see Fig. 1) a newly-born physical universe is being re-created in the local mode of spacetime.

Namely, Eq. 2 reduces to Eq. 1 above, and the finite, Archimedean, 3-D space is born anew by the "spontaneous" broken symmetry, stacked along  w  like Photoshop layers.

We cannot look at the "gaps" of re-creation: the local (physical) mode of spacetime is being re-created as a perfect continuum, thanks to the "speed of light".

Perhaps the global mode of spacetime can be presented with four segments (notice the favicon of my web site) in which two atemporal quantum-gravitational waves run against each other, re-creating asymptotically flat spacetime at the 'collapse over infinity' instant. Also, the fundamental phenomenon called "spin" should be explained as topological property of 3-D space. As Peter Rowlands suggested (arXiv:0912.3433v1, Sec. 3, p. 5), “Space and time are simply quaternions multiplied by i, and spin is simply a topological property of space (as Dirac knew), and not quantum or relativistic in origin.”

In the quantum-and-gravitational realm of the local (physical) mode of spacetime, physical objects gradually acquire increasing access to 'the whole universe as ONE'. They become bootstrapped by their "gravitational field", due to opening a "red window" to their GPIs residing in the global mode of spacetime. Which is why a quantum particle can be in a superposition of its GPI states (say, a superposition of |cat> and |dog>, Erich Joos), and all (not just "small") bodies follow quasi-local geodesics: at each point from such quasi-local geodesics we can install a local Lorentzian frame, by going into "freefall" at such quasi-local point, and imagine that the effects of gravity have re-disappeared.

All this is a very brief and incomplete effort to amend the Finite Infinity, introduced by George F R Ellis. Needless to say, I will be happy to elaborate. Details here.

D. Chakalov
October 28, 2010
Last updated: February 1, 2012, 22:24:06 GMT

 

================================

Subject: The Cauchy problem in General Relativity, Proceedings of ICM, Vol. III, 421-442, 2006
Date: Tue, 3 Jan 2012 03:54:22 +0200
From: Dimi Chakalov <dchakalov@gmail.com>
To: Igor Rodnianski <irod@math.princeton.edu>, irod@math.mit.edu
Cc: Henk van Elst <hvanelst@karlshochschule.de>,
Hans Ohanian <hohanian@uvm.edu>,
Mark Burgin <mburgin@math.ucla.edu>,
Piotr T Chrusciel <piotr.chrusciel@univie.ac.at>,
Paul Tod <tod@maths.ox.ac.uk>

Dear Dr. Rodnianski,

May I ask you and your colleagues for clarification of the meaning of "implies" (cf. attached) used on p. 422 (emphasis mine).

For comparison, please see an excerpt from Hans Ohanian's arXiv:1010.5557v1 [gr-qc] (cf. attached).

Kind regards,

Dimi Chakalov
http://tinyurl.com/Einstein-Prague
 

 

===============================

Subject: GR19 - 2010
Date: Thu, 3 Jun 2010 02:39:23 +0300
From: Dimi Chakalov <dchakalov@gmail.com>
To: Kei-Chi Maeda <maeda@waseda.jp>,
Don Marolf <marolf@physics.ucsb.edu>,
Malcolm MacCallum <m.a.h.maccallum@qmul.ac.uk>,
Alan Rendall <rendall@aei.mpg.de>,
Jose M M Senovilla <josemm.senovilla@ehu.es>,
Miguel Alcubierre <malcubi@nuclecu.unam.mx>,
Bernard Schutz <bernard.schutz@aei.mpg.de>

Gentlemen:

I mentioned your gathering at

http://www.god-does-not-play-dice.net/#Blanchard

Four years ago, I proposed to convert LIGO tunnels to wine cellars. If you have a better idea, please do write me back.

Sincerely,

Dimi Chakalov
 

======================

Subject: GR19 - 2010
Date: Fri, 4 Jun 2010 01:49:18 +0300
From: Dimi Chakalov <dchakalov@gmail.com>
To: Gabriela González <gonzalez@lsu.edu>
Cc: Jorge Pullin <pullin@lsu.edu>,
rgambini@fisica.edu.uy,
rgambini@relativity.phys.lsu.edu

Dear Professor González,

Regarding my email from June 8, 2005: I noticed your name at

http://www.gr19.com/scicom.php

Perhaps it will be a good idea if you blow the whistle at GR19 and expose the insurmountable problems of "GW astronomy",

http://www.god-does-not-play-dice.net/#Blanchard

The sooner, the better.

Should you have professional questions, please don't hesitate to write me back.

Yours sincerely,

Dimi Chakalov


---------
Subject: Re: LSC March 2005 and June 2005 Meetings
Date: Wed, 08 Jun 2005 20:08:12 +0300
From: Dimi Chakalov <dimi@chakalov.net>
To: Gabriela González <gonzalez@lsu.edu>
CC: Jorge Pullin <pullin@lsu.edu>,
rgambini@fisica.edu.uy,
rgambini@relativity.phys.lsu.edu

Dear Professor González,

I watched your movie "Gravity: Making Waves", with Ray Weiss and Mike Zucker, and would like to share my concerns regarding the "direction" of detecting gravitational waves
[snip]
-----

Note: Look at the "direction" of GW scattering in the animation below: you might be able to "see" these GWs iff you're a meta-observer capable of monitoring the whole spacetime en bloc.

However, this same "direction" is assumed to exist inside the same 3-D space as well: check out the Mock LISA Data Challenge Taskforce and LIGO-Virgo Mock Data (custom made) Working Group, as explained eloquently in their arXiv:gr-qc/0701026v1:

"The burst “repeater” source was placed at the center of the Galaxy and the performance modulation due to Earth’s rotation has been studied with 24 hours of simulated data."

So, the direction of GW scattering 'from the center of the Galaxy toward Earth' matches the direction of the same GW scattering seen by the meta-observer.

Do you smell a rat? If not, join LIGO Scientific Collaboration.

D.C.
June 4, 2010

===================================

Subject: 8th International LISA Symposium, Stanford University, June 28, 2010 - July 02, 2010
Date: Mon, 7 Jun 2010 06:13:31 +0300
Message-ID:
<AANLkTikjRKN3_IeSejei8qsM8MgY8tOAv0_Mv6ziQe_M@mail.gmail.com>
From: Dimi Chakalov <dchakalov@gmail.com>
To: Vivian Drew <vdrew@stanford.edu>
Cc: Joan M Centrella <Joan.Centrella@nasa.gov>,
Warren Johnson <johnson@ligo.phys.lsu.edu>,
Stephen Merkowitz <stephen.m.merkowitz@nasa.gov>,
Meredith Gibb <meredith.gibb@nasa.gov>,
Karen Smale <karen.m.smale@nasa.gov>,
iris.t.purcarey@nasa.gov, Catherine.m.Corlan@nasa.gov,
Shau-Yun.Tsai-1@nasa.gov, andreluiz.s.luz@nasa.gov,
notoya.r.russell@nasa.gov, mor.vimmer@nasa.gov,
simon.barke@aei.mpg.de, johanna.bogenstahl@aei.mpg.de,
marina.dehne@aei.mpg.de, Roland.Fleddermann@aei.mpg.de,
antonio.garcia@aei.mpg.de, joachim.kullmann@aei.mpg.de,
benjamin.sheard@aei.mpg.de, gudrun.wanner@aei.mpg.de,
frank.steier@aei.mpg.de, Cliff <cmw@wuphys.wustl.edu>


Dear Dr. Drew,

The reason why LIGO, LISA, etc. will fail miserably is explained at

http://www.god-does-not-play-dice.net/#mantra

Hundreds of millions U.S. Dollars and Euro -- taxpayers' money -- have been wasted so far by LIGO Scientific Collaboration, and even more are scheduled to be wasted with the "enhanced" and "advanced" LIGO and LISA.

I seriously urge you and your colleagues to examine your problems professionally. Please feel free to pass this email to all participants of your 8th International LISA Symposium.

NB: Should you or any of your colleagues have *professional* questions, please do write me back. Notice I will not reply to insults nor to emotional statements.

Yours sincerely,

Dimi Chakalov
 

 

===================================

Subject: The Averaging Problem in GR
Date: Tue, 23 Mar 2010 13:48:51 +0200
Message-ID:
<bed37361003230448y8c3d28fr19844c193638a2ab@mail.gmail.com>
From: Dimi Chakalov <dchakalov@gmail.com>
To: Robert van den Hoogen <rvandenh@stfx.ca>
Cc: Juliane Behrend <jbehrend@stfx.ca>,
Masumi Kasai <kasai@phys.hirosaki-u.ac.jp>,
Naoshi Sugiyama <naoshi@a.phys.nagoya-u.ac.jp>,
Frank Steiner <frank.steiner@uni-ulm.de>,
Claus Gerhardt <gerhardt@math.uni-heidelberg.de>,
Eduardo Guendelman <guendel@bgu.ac.il>,
Thomas Buchert <buchert@obs.univ-lyon1.fr>,
Yi Zhang <zhangyia@cqupt.edu.cn>,
Lau Loi So <s0242010@gmail.com>,
Xiao Zhang <xzhang@amss.ac.cn>,
Marco Spaans <spaans@astro.rug.nl>,
Sergio Doplicher <dopliche@mat.uniroma1.it>,
Volker Runde <vrunde@ualberta.ca>,
Robert M Wald <rmwa@midway.uchicago.edu>,
Robert Geroch <geroch@midway.uchicago.edu>,
Chris Isham <c.isham@imperial.ac.uk>


Dear Professor van den Hoogen,

Your recent paper [Ref. 1] is a joy to read, and also a tough challenge to study. I haven't yet completed the second part, but since you acknowledged that Problem C (determining the gravitational correlation) is unresolved, may I offer some thoughts on the subject matter.

It seems to me that many physicists are unaware of the fundamental puzzle in differential calculus, as shown with the Thompson Lamp paradox,

http://en.wikipedia.org/wiki/Thomson's_lamp

They write textbooks and teach GR like a bartender [Ref. 2]. Other "bartenders" suggest various ad hoc solutions to the "dark" constituents of the universe in the following fashion:

Q: What is green, lives underground, has one eye, and eats stones?
A: The One-Eyed Green Underground Stone Eating Monster!

I believe both dark matter and dark energy are artefacts of our essentially incomplete presentation of 'the infinitesimal', which may in turn be resolved with some pre-geometric plenum "connecting" x' and x [Ref. 1] dynamically, along an 'arrow of spacetime',

http://www.god-does-not-play-dice.net/#quiz

http://www.god-does-not-play-dice.net/#Bahn

I also believe the Thompson Lamp paradox has a quantum version: the UNdecidable KS state,

http://www.god-does-not-play-dice.net/#KS

The latter may act as the 'pre-geometric plenum' mentioned above.

Your critical comments and suggestions, as well as the feedback from your colleagues, will be greatly appreciated.

May The Force be with the inhomogeneous cosmologists [Ref. 3].

With all good wishes,

Dimi Chakalov

---------

[Ref. 1] R. J. van den Hoogen, Averaging Spacetime: Where do we go from here? arXiv:1003.4020v1 [gr-qc], http://arxiv.org/abs/1003.4020

p. 1: "Can there be an alternative description for these observational effects that does not assume the existence of these mysterious dark quantities?

"One possibility is that both dark matter and dark energy are artefacts of some effective averaged theory of gravitation.
....
Problem A (How does one Average tensor fields on a manifold?)
Problem C (What is the nature of the gravitational Correlation , C_ab?)
....
p. 7: "3.2. Choice 1: Parallel Transport along Geodesic

"To begin, we must first select a unique curve that connects the points x and x' and a connection: for our purposes, we choose the geodesic and the Levi-Cevita connection. The geodesic is a “natural” choice as there are no other “natural” curves that connect x' and x. In Riemannian space, the geodesic is the shortest and straightest path connecting points x' and x. A weakness in this approach is the assumption that a unique geodesic exists connecting x' and x.
....
p. 8: "We have illustrated a covariant averaging procedure for tensor fields addressing problem A. We have not averaged the Einstein Field Equation’s of General Relativity, and therefore have not addressed problem C of determining the gravitational correlation, so much more work to do."


[Ref. 2]
http://www.math.ualberta.ca/~runde/jokes.html

An infinite crowd of mathematicians enters a bar. The first one orders a pint, the second one a half pint, the third one a quarter pint... "I understand", says the bartender - and pours two pints.


[Ref. 3] Masumi Kasai (23 June 2009): "May the Force be with the inhomogeneous cosmologists. May the Force be with us."
IPMU International Conference dark energy: lighting up the darkness!
June 22-26, 2009, http://web.ipmu.jp/seminar/darkenergy09/MKasai.pdf

==========================================

Subject: Request for opinion
Date: Wed, 31 Mar 2010 20:47:14 +0300
Message-ID:
<w2jbed37361003311047sdef905d3w938a76121dcdb3c8@mail.gmail.com>
From: Dimi Chakalov <dchakalov@gmail.com>
To: Helena Granström <granstrom.h@gmail.com>

Dear Dr. Granström,

I am respectfully requesting your professional opinion on the interpretation of KS Theorem at

http://www.god-does-not-play-dice.net/#KS

http://www.god-does-not-play-dice.net/#KS_details

Kindest regards,

Dimi Chakalov

 

=====================================

Subject: arXiv:1005.3767v1 [quant-ph], Sec. 4
Date: Fri, 21 May 2010 05:06:16 +0300
Message-ID:
<AANLkTinsis_3Uw6F0YjPNVRHwucvJyalu9j3O_6_3GJf@mail.gmail.com>
From: Dimi Chakalov <dchakalov@gmail.com>
To: Diederik Aerts <diraerts@vub.ac.be>

Dear Diederik,

I wonder if your work overlaps with mine:

http://www.god-does-not-play-dice.net/#KS

Best regards,

Dimi

=====================================

Subject: arXiv:1006.1552v1 [gr-qc], dated: June 9, 2010
Date: Wed, 9 Jun 2010 04:06:55 +0300
From: Dimi Chakalov <dchakalov@gmail.com>
To: Naresh Dadhich <nkd@iucaa.ernet.in>

Hi Naresh,

Regarding your idea that [lambda] "characterizes the matter free state": the "matter free state" has been discussed at

http://www.god-does-not-play-dice.net/#KS

http://www.god-does-not-play-dice.net/#Geroch_note

http://www.god-does-not-play-dice.net/#Blanchard

I very much look forward to reading your arXiv:1006.1552 v2 [gr-qc].

Regards,

Dimi
-------

Note: Check out N. Dadhich's arXiv:gr-qc/0405115v1, particularly the discussion of Eq. 4. He also posed the following question (arXiv:0802.3034v5 [gr-qc]):

"It is remarkable that even classical dynamics of gravity asks for dimension > 4. As two and three dimensions were not big enough for free propagation of gravity, similarly four dimension is not big enough to fully accommodate self interaction dynamics of gravity. Then the most pertinent question is where does this chain end?"

It ends at infinitely-dimensional spacetime -- see Fig. 2 below. Every infinitesimal "point" from the local mode is endowed with infinitely-many connections (global mode of spacetime) with 'the rest of points' in the local mode. And since the global mode is hidden by the so-called 'speed of light', the bootstrapped local mode is "self-acting" upon itself along the arrow of spacetime. Not surprisingly, the origin of this "self-force" is not traceable, and some people consider it "dark".

This offers a new interpretation of the old idea of "breathing" (inhaling/exhaling) universe (common knowledge in India), only the duration of the "breathing" cycle is exactly zero in the local mode of spacetime, rendering the latter a perfect continuum. That's the proposal for 'quantum principle for spacetime dynamics', after Schrödinger and KS Theorem.

Perhaps Naresh Dadhich would some day accidentally discover it. All he has to do is to forget about "branes" and other multidimensional superstitious.

D.C.
June 12, 2010

 

=====================================

Subject: The raw potato, http://pirsa.org/09080013
Date: Thu, 27 May 2010 15:57:16 +0300
From: Dimi Chakalov <dchakalov@gmail.com>
To: Bob Coecke <coecke@comlab.ox.ac.uk>
Cc: John Baez <baez@math.ucr.edu>

Hi Bob,

I trust all my email messages sent in the past three years have been received.

You declared your intentions to make "new models and axiom systems for quantum reasoning", and expressed hopes for "important steps towards quantum gravity",

http://www.comlab.ox.ac.uk/projects/NewQuantumFormalism/index.html

If this just a hobby? For if you were collecting stamps, while I was suggesting to switch to collecting paper napkins, I could understand your attitude of neglecting the underlying "raw potato" -- the UNdecidable KS state,

http://www.god-does-not-play-dice.net/#KS

Try it with your brain at

http://www.god-does-not-play-dice.net/#context

NB: Category theory cannot -- not even in principle -- model the "raw potato". You and John are wasting your time and FQXi donations: $89,981 for your efforts, and $131,865 for John's "Categorifying Fundamental Physics".

Now, if you (John won't respond) are serious about your business, please reply professionally, and I will elaborate.

If you're doing it as a hobby -- don't bother. Have a beer instead.

Take care,

Dimi

=====================================

Subject: Louis Crane, The category of spacetime regions
Date: Thu, 27 May 2010 17:03:45 +0300
From: Dimi Chakalov <dchakalov@gmail.com>
To: Louis Crane <crane@math.ksu.edu>
Cc: Kavita Rajanna <mail@fqxi.org>,
Bob Coecke <coecke@comlab.ox.ac.uk>,
Prakash Panangaden <prakash@cs.mcgill.ca>,
Peter Selinger <selinger@mathstat.dal.ca>,
ross.duncan@comlab.ox.ac.uk, andreas.doering@comlab.ox.ac.uk,
schumacherb@kenyon.edu, J.Barrett@bristol.ac.uk

Dear Dr. Crane,

Regarding your talk at the 7th QPL workshop "Quantum Physics and Logic" and arXiv:gr-qc/0602120v2, and the $135,247 FQXi award, perhaps you may wish to see my recent email to Bob Coecke,

http://www.god-does-not-play-dice.net/#Coecke

I think $135,247 is a lot of money to be spend for a hobby. What do you think?

Sincerely,

Dimi Chakalov

 

=====================================

Subject: arXiv:0705.2908v2
Date: Sat, 22 May 2010 05:43:08 +0300
From: Dimi Chakalov <dchakalov@gmail.com>
To: Yi-Fang Chang <yifangchang1030@hotmail.com>, Yi-Fang Chang <yifangch@sina.com>

Dear Dr. Chang,

I read with great interest your arXiv:0705.2908v2, but couldn't understand the following:

"When the positive and negative matters with the same mass meet, they will become a real vacuum." And also: "The positive and negative matters under some exceeding conditions may be created from nothing at the same time. They will also be main tests of the existence of negative matter."

What could be the ultimate source of positive and negative matters (called "nothing"), such that it can "meet" them as "a real vacuum"?

Kindest regards,

Dimi Chakalov

 

=====================================

Subject: Re: The shape of space
Date: Tue, 23 Mar 2010 15:05:42 +0200
From: Dimi Chakalov <dchakalov@gmail.com>
To: Graham Nerlich <Graham.Nerlich@adelaide.edu.au>

Dear Graham,

You said (Thu, 23 Dec 2004) that the affine structure "is a further primitive (not definable from mere differential structure) structure which you can postulate using some representation or other of it" -- please see

http://www.god-does-not-play-dice.net/#Force

I will appreciate your critical comments.

All the best,

Dimi

--------
Subject: Re: The shape of space
Date: Thu, 23 Dec 2004 12:38:15 +1030
From: Graham Nerlich <graham.nerlich@adelaide.edu.au>
To: Dimi Chakalov <dimi@chakalov.net>

I meant something pretty simple by what I wrote in Shape of Space. Consider a space which has the structure only of a differential manifold. Then, so far, no affine structure, no geodesics, no curvature, no Christoffel tensor. The transition from this to affine structure is not given by or extruded from Christoffel symbols or the 3-tensors which they represent. The affine structure is a further primitive (not definable from mere differential structure) structure which you can postulate using some representation or other of it. You can postulate it as a covariant derivative, a connection, or a tensor which can be represented in coordinates by a Christoffel symbol. But that representation makes sense only if the affine structure is already there, so to speak. True, in GR, the fundamental equation
tells us (among other things) that the curvature and the "matter distribution" are co-determinate. That doesn't mean that the curvature is caused by the matter tensor. A simple analogy shows the catch in that way of thinking. The distance relations between London, New York and Sydney entail that the cities aren't on a flat surface. But the distances don't cause the shape of the surface. These places couldn't have those distances if the surface wasn't curved in the first place. The basic equation of GR places a mutual constraint on the tensors on
each side of it.

I guess you know that the tensor as represented by a Christoffel symbol isn't straightforwardly like other tensors. If you don't, B. Schutz A First Course in General Relativity sec. 5.5 gives a clear account of it.

Best wishes

Graham Nerlich
 

=======================================

Subject: Dreaming about LISA, arXiv:1011.2062v1 [gr-qc]
Date: Wed, 10 Nov 2010 04:07:11 +0200
Message-ID:
<AANLkTinqa4NF+vAwZm1m_Mb8vYRiGhKcDyW40Y7V+eGU@mail.gmail.com>
From: Dimi Chakalov <dchakalov@gmail.com>
To: Stanislav Babak <stba@aei.mpg.de>,
jgair@ast.cam.ac.uk,
antoine.petiteau@apc.univ-paris7.fr,
alberto.sesana@aei.mpg.de
Cc: Leonid.Grishchuk@astro.cf.ac.uk,
Beverly Berger <bberger@nsf.gov>,
Tom Carruthers <tcarruth@nsf.gov>,
Denise S Henry <dshenry@nsf.gov>,
Ramona Winkelbauer <rwinkelb@nsf.gov>,
LSC Spokesperson <reitze@phys.ufl.edu>


Dear Mr. Babak,

You wrote (p. 2): "we will use the fact that LISA will observe about 30 events per year..."

But it isn't a *fact*. The fact of the matter is that people are not stupid, and are fully aware of the errors in your hypotheses:

http://www.god-does-not-play-dice.net/ExplanatoryNote.pdf

It is manifestly pointless to dream about LISA, because you won't get it.

Sincerely,

D. Chakalov
------
Overfunded research is like heroin: It makes one addicted, weakens the mind and furthers prostitution.
Johann A. Makowsky, The Jerusalem Post, 19.4.1985
 

===============================

Subject: Pornography at the NSF and GW parapsychology
Date: Thu, 1 Oct 2009 14:34:37 +0300
From: Dimi Chakalov <dchakalov@gmail.com>
To: Carlos <carlos@hotmail.com>
Cc: Beverly Berger <bberger@nsf.gov>,
Tom Carruthers <tcarruth@nsf.gov>,
Denise S Henry <dshenry@nsf.gov>,
Ramona Winkelbauer <rwinkelb@nsf.gov>,
Peggy Fischer <pfischer@nsf.gov>,
OIG <oig@nsf.gov>,
LSC Spokesperson <reitze@phys.ufl.edu>,
contact.lrr@livingreviews.org
[snip]

Dear Carlos,

> I forgot about these funny news : 75% of the people who work at the National
> Science Foundation (NSF) have been found to be surfing at Porno in the web

Here's the link:
http://washingtontimes.com/news/2009/sep/29/workers-porn-surfing-rampant-at-federal-agency/

I've been trying to contact NSF since July last year, but the only response I got so far was from Mr Berger (email printed below).

The forthcoming scandal about LIGO will be enormous:

http://www.god-does-not-play-dice.net/Szabados.html#SBG

Nobody cares. NOBODY.

All the best,

Dimi
http://www.god-does-not-play-dice.net/#NB


=============

Re: LSC: Aggressive professional negligence
Date: Fri, 5 Sep 2008 12:51:16 -0400
Message-ID:
<A74B5B2C42009044AD35C5490049DAE7011BA3A6@NSF-BE-01.ad.nsf.gov>
From: Berger, Beverly K. <bberger@nsf.gov>
To: Dimi Chakalov <dchakalov@gmail.com>

I will be on vacation until Sept. 8 and will have no email contact for
most of that time. If you cannot wait until I return, please contact
Denise Henry (dshenry@nsf.gov) .

-----------
 

 

Note: At the age of 57, my hair is getting lily-white, and I may claim that it is sufficiently white to enjoy surfing at porno in the web, yet still sufficiently black to attract real blond girls. Likewise, LSC members deeply believe that GW strain, which might hit LIGO some day, would be sufficiently weak to be modeled with the linearized approximation of GR, yet sufficiently strong to be detected with the so-called Advanced LIGO (cf. J. G. Pereira et al., arXiv:0909.4408v1).

But LSC can't have their cake and eat it. As Hermann Weyl demonstrated in 1944 (Hermann Weyl, How Far Can One Get With a Linear Field Theory of Gravitation in Flat Space-Time? American Journal of Mathematics, Vol. 66, No. 4 (Oct., 1944), pp. 591-604), the linearized approximation of GR is "a shadow without power".

Notice that LSC cannot describe smooth bi-directional transitions from strong GWs to very weak GWs, as they approach asymptotically their sudden death at the stage of "a shadow without power". Joshua Goldberg is manifestly silent on this crucial problem, and Kip Thorne didn't even mention Hermann Weyl's article in his lecture "Gravitational waves in flat spacetime". Instead, he tried to defend the so-called "invariance angle" of LIGO's arms with an article by Eugene Winger, which he has read as a student "around 1960". Just look at the L-shaped tunnels of LIGO: isn't this 'graviton parapsychology'?

The persistent "evolution" of the beliefs of LSC members is really amazing. Back in 1981 (cf. Daniel Kennefick, p. 1), Kip Thorne had no difficulty in "finding a taker for a wager that gravitational waves would be detected by the end of the last century. The wager was made with the astronomer Jeremiah Ostriker, one of the better-known critics of the large detectors then being proposed. Thorne was one of the chief movers behind the largest of the new detector projects, the half-billion-dollar Laser Interferometer Gravitational Wave Observatory, or LIGO. He lost the bet, of course."

Now LSC members are effectively saying 'just gives us a couple of billion dollars more, and we gonna make it'. Exactly how much more? The Advanced LIGO Cost Estimating Plan (M990310-05.pdf, updated 05.27.2003) is here, but is hidden to 'mass society' taxpayers.

Notice that LSC have already prepared 'Plan B', in case they fail miserably again. In their latest "science white paper", submitted to the Astro2010 Decadal Survey (Bernard F. Schutz et al., arXiv:0903.0100v1 [gr-qc], p. 3), they wrote:

"It is worth reminding ourselves why and where GR might fail." (...) "Any such failure of GR should point the way to new physics."

Once the "Advanced LIGO" fails in 2015, they will celebrate the 100th anniversary of Einstein's GR with their "way to new physics", claiming that their total failure is actually of fundamental importance, like the negative result for the ether drift in the experiment of Michelson and Morley ... but with just a few billion dollars more for LISA and Einstein Telescope, everything will be just right.

Are NSF officials going to risk a devastating embarrassment from their blind support of GW parapsychology?
 

D. Chakalov
October 2, 2009
Last update: October 26, 2009

==========================

Subject: Re: The schizophrenic behavior of gravity (SBG)
Date: Sat, 13 Mar 2010 15:45:13 +0200
Message-ID:
<bed37361003130545u33d426e5x13c85680c8df766c@mail.gmail.com>
From: Dimi Chakalov <dchakalov@gmail.com>
To: Nikolai Mitskievich <nmitskie@gmail.com>
Cc: Ludvig Faddeev <faddeev@pdmi.ras.ru>, Viktor Denisov <denisov@srd.sinp.msu.ru>, kip@tapir.caltech.edu,
weinberg@physics.utexas.edu, LSC Spokesperson <reitze@phys.ufl.edu>,
Beverly Berger <bberger@nsf.gov>, Tom Carruthers <tcarruth@nsf.gov>, Denise S Henry <dshenry@nsf.gov>, Ramona Winkelbauer <rwinkelb@nsf.gov>, GW_comp@olegacy.gsfc.nasa.gov, Laszlo Szabados <lbszab@rmki.kfki.hu>, Adam Helfer <adam@math.missouri.edu>, Bernard.Schutz@aei.mpg.de,
danielk@uark.edu, c.isham@imperial.ac.uk, luca@phy.olemiss.edu,
Roger Blandford <rdb3@stanford.edu>, Lynne Hillenbrand <lah@astro.caltech.edu>, Donald C Shapero <dshapero@nas.edu>, Adam Riess <ariess@pha.jhu.edu>


Dear Dr. Mitskievich,

You wrote (arXiv:1002.1421v1): "I am regretful not to tell these considerations to Kip S. Thorne more than two decades ago, simply because of a kind of awkward modesty."

I think Kip Thorne should have been aware since mid-1980s that the whole idea of some "dimensionless GW amplitude" acting on physical objects is wishful thinking,

http://www.god-does-not-play-dice.net/#Jones

The rigorous proof was delivered by Denisov and Logunov in 1982; English translation in 1984,

http://www.springerlink.com/content/tr05r2853123/
?p=2f6d7ad5e83047baab73de519b1007f4&pi=0

Sec. 6, pp. 1728-1734,
http://www.springerlink.com/content/r4227857n075h92h/
?p=6191681b74ad428f9ebf0f883311fbcf&pi=6

Please notice that the crucial *asymptotic* expression r --> [infinity] at the link above is mathematically unclear, that is, pure poetry.

Physically, it is also totally unclear due to the so-called "dark" energy from empty space,

http://www.god-does-not-play-dice.net/#quiz

So, even if we assume that Kip Thorne has somehow missed the monograph by V. Denisov and A. Logunov, he is most certainly aware that the whole "GW astronomy" is in murky waters since the discovery of "dark" energy in 1997 by Adam Riess,

http://www.god-does-not-play-dice.net/#facts

How did he manage to drag so many people into this nonsense, I wonder.

Notice that LIGO Scientific Collaboration might have prepared 'Plan B', in case they fail miserably again. In their "science white paper", submitted to the Astro2010 Decadal Survey (Bernard F. Schutz et al., arXiv:0903.0100v1 [gr-qc], p. 3), they wrote:

"It is worth reminding ourselves why and where GR might fail." (...) "Any such failure of GR should point the way to new physics."

Once the "Advanced LIGO" fails in 2015, they will celebrate the 100th anniversary of Einstein's GR with their "way to new physics", claiming that their total failure is actually of fundamental importance, like the negative result for the ether drift in the experiment of Michelson and Morley ... but with just a few billion dollars more for LISA and Einstein Telescope, everything will be just right.

I am afraid NSF officials are indeed taking the risk of devastating embarrassment after their blind support of GW parapsychology. And they will get it:

http://www.god-does-not-play-dice.net/Szabados.html#SBG

Perhaps you can help your US colleagues. You know the work by Viktor Denisov, Anatol Logunov, and Ludvig Faddeev. I hope you have some spare time to write up a brief paper and post it on arxiv.org server, to prevent the abuse of Einstein's GR with the 'Plan B' above.

Nobody should blame GR for the forthcoming failures to detect GWs with some "enhanced" or "advanced" LIGO. Einstein's errors regarding energy transport by GWs were identified even before Kip Thorne was born. I will be happy to provide you the references.

Looking forward to hearing from you,

Yours sincerely,

Dimi Chakalov
-------------

Note: The staggering problem of "GW astronomy", encoded in the asymptotic expression r --> [infinity] , can perhaps be explained by an ancient Greek in the following fashion. Suppose Achilles is throwing his famous spear in one direction along the radius of the universe,  r , starting from its center at Athens. He isn't familiar with the wisdom of present-day cosmology, but is a staunch relativist and knows that the universe is like an unbroken ring with no circumference, for the circumference is nowhere, and the "center" is everywhere.

How can Achilles prove the 'no circumference' conjecture? Suppose that, at some advanced stage from his exercise, he finds out that cannot throw his spear anymore, because he has reached some (asymptotic) limit of being 'too far away from Athens'. Namely, the increasing distance (r) between Achilles and Athens somehow blocks his spear at  r --> [infinity] , placing the circumference of the universe at some "effective infinity" from all "centers", Athens included. But because Achilles is smart relativist, he will be immediately puzzled by the privileged (if not absolute) location of Athens in the universe and its influence on his spear, such that he cannot replace Athens with some closer point from his path (say, just one point behind the last location of his spear) and throw his spear further, ad infinitum.

This is very unclear, isn't it? As Adam Helfer put it (arXiv:0903.3016v1 [gr-qc]), the asymptotic spacelike regime is "less well understood mathematically at present". English translation: it's pure poetry, as stated above.

The situation with the alleged null infinity isn't better either: "From a physical point of view, null infinity is very far away." (Bernard F. Schutz, Mathematical and Physical Perspectives on Gravitational Radiation, August 2, 2002)

To paraphrase Woody Allen, infinity is very long, especially towards the end. People tend to indulge themselves with some "rescaling metric" recipe (Ted Newman), but it is totally unclear how to "rescale" the metric during its accelerated expansion, as driven by the "dark" energy from empty space.

In this gloomy situation, may I offer some optimistic speculations. John Stachel mentioned a seminal paper by Niels Bohr and Leon Rosenfeld, Zur Frage der Messbarkeit der elektromagnetischen Feldgrssen, published in 1933: Because EM charges "occur with two signs that can neutralize each other, a charge-current distribution acting as a source of an electromagnetic field can be manipulated by matter that is electrically neutral and so not acting as a source of a further electromagnetic field; and one can shield against the effects of a charge-current distribution." Then he added: "A glance at Bohr and Rosenfeld 1933 shows how important the possibility of neutralizing the charges on test
bodies is for measurement of the (averaged) components of the electric field with arbitrary accuracy, for example. This difference may well have important implications for the measurement of gravitational field quantities."

So, we need some entity that is charge-neutral to the two signs of mass: potential reality. Also, because GWs are sheer coordinate effects, they might "propagate" with any velocity desired by the human imagination, included 'the speed of thought' (Arthur Eddington, The Propagation of Gravitational Waves, 1922). We have to stick to the full non-linear GR, because its linearized approximation is "a shadow without power" (Hermann Weyl; see above).

Yes, GWs exist, and can be detected. All we may need is a "device" that can also detect quantum waves without any "collapse" whatsoever: a human brain.

All this has been said many times at this web site; sorry for repeating it here. The only correction I need to make concerns my statement above: "Einstein's errors regarding energy transport by GWs were identified even before Kip Thorne was born." But I was wrong. Hermann Weyl's article was published in 1944, at the time when Kip Stephen Thorne was 4 year old. Sorry, I was wrong. Mea culpa.

D. Chakalov
March 14, 2010




==========================

Subject: STRANGE MISCONCEPTIONS OF GENERAL RELATIVITY, by G. 't Hooft
Date: Tue, 16 Mar 2010 15:50:10 +0200
Message-ID:
<bed37361003160650s3e298c86r5b67c848fa6db72c@mail.gmail.com>
From: Dimi Chakalov <dchakalov@gmail.com>
To: CEOFOP <G.tHooft@uu.nl>,
"Szabados,L." <lbszab@rmki.kfki.hu>,
"Dupre, Maurice J" <mdupre@tulane.edu>,
Norbert Straumann <norbert.straumann@gmail.com>,
Domenico Giulini <domenico.giulini@itp.uni-hannover.de>,
Luca Bombelli <luca@phy.olemiss.edu>,
Adam Helfer <adam@math.missouri.edu>
Cc: Stephen Crothers <thenarmis@gmail.com>,
"C. Y. Lo" <c_y_lo@yahoo.com>,
Merced Montesinos Velásquez <merced@fis.cinvestav.mx>,
Angelo Loinger <angelo.loinger@mi.infn.it>


On Tue, 2 Mar 2010 19:22:24 +0200, Dimi Chakalov <dchakalov@gmail.com> wrote:
>
> CEOFOP: All you need to prove me wrong is at
>
> http://www.god-does-not-play-dice.net/#Jones
>
> Go ahead Gerardus. Don't be shy. Make your best shot.
>
> D.


Dear Laszlo, Maurice, Norbert, Domenico, Luca, and Adam,

May I ask you to share your opinion on the following issues concerning GR.

Dr. G. 't Hooft, the Chief Editor of Foundations of Physics (CEOFOP), has posted a silver-tongued essay on what he calls "gravitating misconceptions":

http://www.phys.uu.nl/~thooft/

"Gravitating misconceptions: response on claims by a group of self proclaimed scientists concerning the validity of the theory of General Relativity."

These "gravitating misconceptions" are explained at

STRANGE MISCONCEPTIONS OF GENERAL RELATIVITY,
http://www.phys.uu.nl/~thooft/gravitating_misconceptions.html


Please note CEOFOP's claim that "a true, real stress-energy-momentum tensor for gravity does also exist!", provided "all of the metric is handled as "dynamical" " [Ref. 1]. The result is that "the energy in gravity and that in matter always balances out to zero" (ibid).

This reminds me of Merced Montesinos' paper [Ref. 2] on 'the right answer to the wrong question' (MTW p. 467).

NB: I wonder how you would comment on CEOFOP's "true, real stress-energy-momentum tensor for gravity", given his statement that "Einstein's equations are non-linear, and this is why gravitational fields can be the source of additional amount of gravity, so that a gravitational field can support itself." [Ref. 1]

Surely we don't see "the ether" coming back to GR textbooks [Ref. 2], but would you please explain your viewpoint on the above-mentioned "true, real stress-energy-momentum tensor for gravity" ?

Please also check out CEOFOP's interpretation of the "radial coordinate r " used in the Schwarzschild (actually, it is Hilbert-Droste-Weyl) solution [Ref. 1], and compare it with the interpretation offered by Angelo Loinger [Ref. 3].

A penny for your thoughts!

All the best,

Dimi


References


[Ref. 1] Excerpts from "STRANGE MISCONCEPTIONS OF GENERAL RELATIVITY",
by G. 't Hooft
http://www.phys.uu.nl/~thooft/gravitating_misconceptions.html

"What does L say about this? "I have proven that dynamical solutions do not exist, so your solution is wrong". What is wrong about it? First, he ignores the wave packets and focuses on the plane wave solutions. These have infinite extension in space and time and represent infinite energy. That, indeed, is problematic in gravity. If the energy in a given region with linear dimensions R exceeds R in natural units, a black hole is formed so that space-time undergoes a
subtle change in topology. This might arguably be called unacceptable. The problem is manifest in our explicit solutions, and this is why it is important to use wave packets instead. The wave packages are identical to the ones in Maxwell theory, and since they represent only finite amounts of energy (per unit of length in the z direction), these solutions are indeed legitimate. I showed L how to construct explicit, analytical examples of such wave packets."
.....

"Actually, a true, real stress-energy-momentum tensor for gravity does also exist! If all of the metric is handled as "dynamical" one finds that the Einstein tensor G_µv itself acts as the gravitational part of the energy-momentum. Adding this to the energy and momentum of matter one finds a quantity that is trivially conserved: the addition gives zero, according to Einstein's equations. Thus, the energy in gravity and that in matter always balances out to zero. In practice, this is not a very useful definition; it would imply that gravity carries a gigantic amount of energy, most of which is invisible, and no further physical information is obtained, but it is the matter of principle (Sic! - D.C.) that counts here. In practice, we may wish to ignore the large contribution from the background, and this is why a "pseudotensor" emerges. One can add to this that, by construction, the pseudotensor should only depend on first derivatives, whereas the "true tensor" G_µv contains second derivatives, which makes it physically counter intuitive."
.........

" "Black holes do not exist; they are solutions of the equation for the Ricci tensor R_µv = 0, so they cannot carry any mass. And what is usually called a "horizon" is actually a physical singularity."

"Mr. C. adds more claims to this: In our modern notation, a radial coordinate r is used to describe the Schwarzschild solution, the prototype of a black hole. "That's not a radial distance!", he shouts. "To get the radial distance you have to integrate the square root of the radial component grr of the metric!!" Now that happens to be right, but a non-issue; in practice we use r just because it is a more convenient coordinate, and every astrophysicist knows that an accurate
calculation of the radial distance, if needed, would be obtained by doing exactly that integral. "r is defined by the inverse of the Gaussian curvature", C continues, but this happens to be true only for the spherically symmetric case. For the Kerr and Kerr-Newman metric, this is no longer true. Moreover, the Gaussian curvature is not locally measurable so a bad definition indeed for a radial coordinate. And why should one need such a definition? We have invariance under coordinate transformations. If so desired, we can use any coordinate we like. The Kruskal-Szekeres coordinates are an example. The Finkelstein coordinates another. Look at the many different ways one can map the surface of the Earth on a flat surface. Is one mapping more fundamental than another?

"The horizon is a real singularity because at that spot the metric signature switches from (+,-,-,-) to (-,+,-,-)", C continues. This is wrong. The switch takes place when the usual Schwarzschild coordinates are used, but does not imply any singularity. The switch disappears in coordinates that are regular at the horizon, such as the Kruskal-Szekeres coordinates. That's why there is no physical singularity at the horizon.

"But where does the black hole mass come from? Where is the source of this mass? R_µv = 0 seems to imply that there is no matter at all, and yet the thing has mass! Here, both L and C suffer from the misconception that a gravitational field cannot have a mass of its own. But Einstein's equations are non-linear, and this is why gravitational fields can be the source of additional amount of gravity, so that a gravitational field can support itself. In particle theories (Sic! - D.C.), similar things can happen if fields obey non-linear equations, we call these solutions "solitons". A black hole looks like a soliton, but actually it is a bit more complicated than that.

"The truth is that gravitational energy plus material energy together obey the energy conservation law. And now there is a thing that L and C fail to grasp: a black hole can be seen to be formed when matter implodes. Start with a regular, spherically symmetric (or approximately spherically symmetric) configuration of matter, such as a heavy star or a star cluster. Assume that it obeys an equation of state. If, according to this equation of state, the pressure stays sufficiently low, one can calculate that this ball of matter will contract under its own weight. The calculation is not hard and has been carried out many times; indeed, it is a useful exercise for students. According to Einstein's equations, the contraction continues until the pressure is sufficiently high to stop any further contraction. If that pressure is not high enough, the contraction continues and the result is well-known: a black hole forms. Matter travels onwards to the singularity at r = 0, and becomes invisible to the outside observer. All this is elementary exercise, and not in doubt by any serious researcher."


[Ref. 2] Merced Montesinos, The double role of Einstein's equations: as equations of motion and as vanishing energy-momentum tensor, arXiv:gr-qc/0311001v1, http://arxiv.org/abs/gr-qc/0311001, pp. 4-5.

"This means that for this type of observers, there is a balance between the 'content' of energy and momentum densities and stress associated with the matter fields [psi] (which is characterized in Tµv) and the 'content' of energy and momentum densities and stress associated with the gravitational field (which is characterized in [XXX])

--->--->--->--->
<---<---<---<---     (23)

in a precise form such that both fluxes cancel, and thus leading to a vanishing 'flux', i.e., tµv = 0. Once again, the vanishing property of tµv for the system of gravity coupled to matter fields is just a reflection of the fact that the background metric is dynamical.

"More precisely, tµv = 0 tells us that the 'reaction' of the dynamical background metric is such that it just cancels the effect of 'flux' associated with the matter fields. It is impossible (and makes no sense) to have a locally non-vanishing 'flux' in this situation. If this were the case, there would be no explanation for the origin of that non-vanishing 'flux'. Moreover, that hypothetic non-vanishing 'flux' would define privileged observers associated with it  (the ether would come back!).

"It is important to emphasize that, in the case of having a dynamical background metric, the vanishing property of tµv = 0 is not interpreted here as a ‘problem’ that must be corrected somehow but exactly the other way around. In our opinion, there is nothing wrong with that property because it just reflects the double role that the equations of motion associated with the dynamical background play."


[Ref. 3] Angelo Loinger, Wrong "idees fixes" in GR, arXiv:physics/0403092v1 [physics.gen-ph],
http://arxiv.org/abs/physics/0403092

Idem, The Black Holes do not exist - "Also Sprach Karl Schwarzschild", arXiv:physics/0402088v1 [physics.gen-ph],
http://arxiv.org/abs/physics/0402088

 

===========================

Subject: Gerard Hooft 't, The Conformal Constraint in Canonical Quantum Gravity, arXiv:1011.0061v1 [gr-qc]
Date: Tue, 2 Nov 2010 05:41:05 +0200
From: Dimi Chakalov <dchakalov@gmail.com>
To: CEOFOP <g.thooft@uu.nl>
Cc: Masato Nozawa <nozawa@gravity.phys.waseda.ac.jp>,
Stephen Crothers <thenarmis@gmail.com>,
Thibault Damour <damour@ihes.fr>

Gerardus,

After some tantalizing assumptions (p. 4), you boldly declared (p. 11): "Matter and dilaton then join smoothly together in a perfectly conformally invariant theory."

But then you acknowledged (p. 12): "The author believes that quantum mechanics itself will have to be carefully reformulated before we can really address this problem."

Welcome aboard,

http://www.god-does-not-play-dice.net/#KS

There is no need to invent the wheel: check out Schrodinger at the link.

As I said six and a half years ago ("energy-momentum flows from matter
to grav. fields and back", see below), you can bring a horse to the water, but cannot make him drink.

Dimi
----

On Thu, 11 Mar 2004 08:17:00 +0100, "Hooft 't G." wrote:
>
> Let me briefly explain. Following the conventional Einstein
> equations, the matter-energy-momentum tensor is COVARIANTLY
> conserved; it is not conserved if you replace covariant derivatives
> by ordinary derivatives. This is how energy-momentum flows from
> matter to grav. fields and back.
-----

Note: Gerard 't Hooft has been generously "casting pearls to the swine" (exact quote -- see CEOFOP_1.pdf in CEOFOP_1.zip) at

http://www.phys.uu.nl/~thooft/gravitating_misconceptions.html

Check out a snapshot (2.11.2010) from the page above, Gerardus_energy.jpg, and notice the splitting of "the metric g_μν into a background part, g^o_μν, for which we could take flat space-time, and a dynamical part: substitute in the Einstein-Hilbert action: g_μν = g^o_μν + g¹_μν . (...) Just require that the background metric g^o_μν obeys the gravitational equations itself; one can then remove from the Lagrangian all terms linear in  g¹_μν.  This way, one gets an action that starts out with terms quadratic in  g¹_μν, while all its indices are connected through the background field g^o_μν."

It is utter madness indeed. Notice that this person is Chief Editor of Foundations of Physics (CEOFOP), and maybe (hope not!) teaches GR. That's really scary.

As to the latest note by Gerard 't Hooft, entitled "The plane gravitational wave for beginners" (Addendum 18/8/2010), he failed to mention that, for a pp-wave, all curvature invariants vanish (Hans Stephani and John Stewart, General Relativity, Cambridge University Press, 1982; section 15.3). That's 'for beginners'; I've said much more in ExplanatoryNote.pdf. Just a hint: the proper calculation of 'the self force' is not "miniscule" but shows the input of "dark energy" and the mechanism by which GWs transport energy and momentum; as Hermann Bondi stressed many years ago, "the question of the "reality" of the waves essentially concerned whether they transported energy. Such transport is a fundamentally nonlinear phenomenon." LIGO is manifestly blind and deaf to this inherently nonlinear phenomenon, and cannot measure anything related to BMS group.

D.C.
November 3, 2010
 

======================================
 

Subject: Re: STRANGE MISCONCEPTIONS OF GENERAL RELATIVITY, by G. 't Hooft
Date: Sun, 21 Mar 2010 04:16:04 +0200
From: Dimi Chakalov <dchakalov@gmail.com>
To: [snip]
Cc: [snip]

P.S. Please try to reconcile CEOFOP's "true, real stress-energy-momentum tensor for gravity"

http://www.phys.uu.nl/~thooft/gravitating_misconceptions.html

with L. Landau and E. Lifshitz, The Classical Theory of Fields, Fourth Edition, 1980, Ch. 11, p. 301,

http://www.god-does-not-play-dice.net/p_301.jpg

If you succeed, please do write me back.

D.


2010/3/18 Dimi Chakalov <dchakalov@gmail.com>:
>
> Dear colleagues,
>
> If you wish to be removed from this thread, please say so.
>
> The whole issue about GR is very simple indeed; I managed to explain
> it even to my teenage daughter,
>
> http://www.god-does-not-play-dice.net/#Bahn
>
> All the best,
>
> Dimi
>
 

==========================

Subject: Re: STRANGE MISCONCEPTIONS OF GENERAL RELATIVITY, by G. 't Hooft
Date: Sun, 21 Mar 2010 13:01:24 +0200
From: Dimi Chakalov <dchakalov@gmail.com>
To: "C. Y. Lo" <c_y_lo@yahoo.com>
Cc: [snip]

Dear Lo,

> If you read my paper of 1995, you will know that 't Hooft is wrong.

Sure, I've read the Appendix. You also wrote (p. 422): "Note that E is unchanged if the Landau-Lifshitz "pseudotensor" is used in equation (3c)."

I have some comments on your Eq. 12a, but that's a different thread.

All the best,

Dimi
-------
Lo C. Y., Einstein's Radiation Formula and Modifications to the Einstein Equation, Astrophysical Journal 455, 421-428 (Dec. 20, 1995).
http://www.god-does-not-play-dice.net/Lo_Dec_20_1995.pdf

============

Subject: Re: STRANGE MISCONCEPTIONS OF GENERAL RELATIVITY, by G. 't Hooft
Date: Sun, 21 Mar 2010 20:39:34 +0200
From: Dimi Chakalov <dchakalov@gmail.com>
To: "C. Y. Lo" <c_y_lo@yahoo.com>
Cc: [snip]

Dear Lo,

> Your comments would be appreciated. Thank you.

I opened this thread on March 16th,
http://www.god-does-not-play-dice.net/#Gerardus

As I said below, my comments on your Eq. 12a will be a different thread, so I'd suggest to discuss it privately. If you find my opinion interesting, please reply to me only. Very briefly:

Firstly, you wrote (p. 421): "It seemed that only a covariant theory could be valid in physics (see Appendix)." But notice that the 'absolute structures in GR', after Anderson,

http://www.god-does-not-play-dice.net/#Brown

can show up in GR *only* as some disguised "gauge-dependent" objects,

http://www.god-does-not-play-dice.net/Greenberg.html#addendum

Secondly, you grounded your paper on the assumption that Einstein's quadrupole radiation formula might be correct, and tried to modify the filed equations instead (p. 425).

You wrote (p. 423): "In view of the fact that there is no existing gravity energy-stress tensor, it seems simple and natural to assume that the source tensor T_ab is zero in a vacuum."

Then you argued (ibid.) that "Einstein's radiation formula implies that his field equation must be modified so that the source tensor is nonzero in vacuum."


Why not have it both ways? Yes you can: T_ab (the energy momentum stress tensor of all matter and fields) can *completely* vanish/dissolve into the vacuum, and stay available there for any partial, full, or "over unity" recall, if and when needed. All you need is a new form of reality: see my note on the dynamics of GR at

http://www.god-does-not-play-dice.net/#Bahn

Again, all this will be a different thread, so please reply to me only.

All the best,

Dimi

 

============================

Subject: Re: STRANGE MISCONCEPTIONS OF GENERAL RELATIVITY, by G. 't Hooft
Date: Wed, 17 Mar 2010 19:25:27 +0200
From: Dimi Chakalov <dchakalov@gmail.com>
To: Stephen Crothers <thenarmis@gmail.com>
Cc: CEOFOP <G.tHooft@uu.nl>,
"Szabados,L." <lbszab@rmki.kfki.hu>,
"Dupre, Maurice J" <mdupre@tulane.edu>,
Norbert Straumann <norbert.straumann@gmail.com>,
Domenico Giulini <domenico.giulini@itp.uni-hannover.de>,
Luca Bombelli <luca@phy.olemiss.edu>,
Adam Helfer <adam@math.missouri.edu>,
"C. Y. Lo" <c_y_lo@yahoo.com>,
Merced Montesinos Velásquez <merced@fis.cinvestav.mx>,
Angelo Loinger <angelo.loinger@mi.infn.it>

Dear Stephen,

Thank you for your prompt reply from Wed, 17 Mar 2010 23:15:09 +1000.

[snip]

> Let's not forget that Einstein's pseudo-tensor is a meaningless concoction of
> mathematical symbols because it implies, by contraction, a linear
> invariant that depends solely upon the components of the metric tensor
> and their first derivatives. But G. Ricci-Curbastro and T. Levi-Civita
> proved in 1900 that such invariants do not exist. Mr. 't Hoof does not
> understand this.

The problem is that he is Chief Editor of Foundations of Physics, and also teaches GR. He can do a lot of damage, mostly to his students.

> Furthermore, 't Hooft concedes that the total energy
> of Einstein's gravitational field is always zero. This implies that
> the the field equations violate the usual conservation of energy and
> momentum so well-established by experiment.

Textbook-level details from Amir M. Abbassi and Saeed Mirshekari, Energy-Momentum Density of Gravitational Waves, arXiv:0908.0286v1 [gr-qc], p. 2,

http://www.god-does-not-play-dice.net/Gerard.html#Abbassi

I will limit our discussion to its absolute minimum, hoping that your colleagues will also respond professionally.

> Mr. C

Nice done, Mr. C :-) I hope to receive a paper by "Mr. L" soon. Stay tuned.

All the best,

Dimi


> ____________________________________________
>
> On 3/16/10, Dimi Chakalov <dchakalov@gmail.com> wrote:
>>
>> On Tue, 2 Mar 2010 19:22:24 +0200, Dimi Chakalov <dchakalov@gmail.com>
>> wrote:
>>>
>>> CEOFOP: All you need to prove me wrong is at
>>>
>>> http://www.god-does-not-play-dice.net/#Jones
>>>
>>> Go ahead Gerardus. Don't be shy. Make your best shot.
>>>
>>> D.
[snip]

=============================

Subject: Re: STRANGE MISCONCEPTIONS OF GENERAL RELATIVITY, by G. 't Hooft
Date: Fri, 19 Mar 2010 02:09:34 +0200
From: Dimi Chakalov <dchakalov@gmail.com>
To: "C. Y. Lo" <c_y_lo@yahoo.com>
Cc: CEOFOP <G.tHooft@uu.nl>,
[snip]

Dear Lo,

Thank you very much for your reply from Thu, 18 Mar 2010 16:43:12 -0700 (PDT).

> I read your email and the attachments

Thank you. My initial email is also posted at

http://www.god-does-not-play-dice.net/#Gerardus

> He needs help.

Definitely yes.

> please see my paper attached.

Thank you very much. I posted the abstract from your paper at

http://www.god-does-not-play-dice.net/Eins_Hooft_Wave.pdf

If you prefer, I can replace it with your full paper, in .pdf format.

With all good wishes,

Dimi
---------
Note: Dr. C. Y. Lo kindly agreed (Fri, 19 Mar 2010 12:12:39 -0700 (PDT)) to replace the abstract with the full version of his paper; check out also ref. [20] therein.

D.C.



=============================

Subject: Re: STRANGE MISCONCEPTIONS OF GENERAL RELATIVITY, by G. 't Hooft
Date: Tue, 16 Mar 2010 16:39:50 +0200
From: Dimi Chakalov <dchakalov@gmail.com>
To: CEOFOP <G.tHooft@uu.nl>,
"Szabados,L." <lbszab@rmki.kfki.hu>,
"Dupre, Maurice J" <mdupre@tulane.edu>,
Norbert Straumann <norbert.straumann@gmail.com>,
Domenico Giulini <domenico.giulini@itp.uni-hannover.de>,
Luca Bombelli <luca@phy.olemiss.edu>,
Adam Helfer <adam@math.missouri.edu>
Cc: Stephen Crothers <thenarmis@gmail.com>,
"C. Y. Lo" <c_y_lo@yahoo.com>,
Merced Montesinos Velásquez <merced@fis.cinvestav.mx>,
Angelo Loinger <angelo.loinger@mi.infn.it>


P.S. CEOFOP also wrote at
http://www.phys.uu.nl/~thooft/gravitating_misconceptions.html

"A third player, DC, strongly supports L and C, and on the side asks me to seriously consider his theories about the 9-11 events: the two planes crashing into the Twin Towers have first been snatched by UFO's, their passengers were abducted, and the planes, without passengers and filled with explosives of an unknown type, were directed into the towers. All of this to explain why the towers collapsed in spite of their impeccable design. I can only try to guess who came up first with this theory, but I now use it to illustrate the level of my discussions with DC. "

To explain the level of my discussions with CEOFOP, I invite you to check out the facts at my 9/11 web page,

http://www.god-does-not-play-dice.net/9_11.html#Ward

http://www.god-does-not-play-dice.net/9_11.html#Ritter

D.C.
-------

Note: The only truth in CEOFOP's statements above is that I have indeed asked him (along with Prof. Brian Josephson) to seriously consider my theory about the 9/11 events: see my email from Fri, 25 Dec 2009 printed below.

All the rest -- "two planes crashing into the Twin Towers have first been snatched by UFO's, their passengers were abducted, and the planes, without passengers and filled with explosives of an unknown type, were directed into the towers" -- is untrue.

Why did CEOFOP (G. 't Hooft) write all this crap at his web site, I wonder. He is fluent in English, so we have two alternatives. One explanation could be that he has somehow lost his intellect, but very selectively, only regarding my 9/11 web page. Another explanation would be that he had actually understood the simple text at my web page, but decided to lie about it, for unknown (to me) reasons.

In simple terms: he is either a selective moron, or just a bold liar. But not both.

I will leave the decision to his students in GR. If they come up with a third option, I will immediately post it here.

Meanwhile, check out L. Landau and E. Lifshitz, The Classical Theory of Fields, Fourth Edition, 1980, Ch. 11, p. 301 (snapshot from p. 301 here), and compare it with CEOFOP's "true, real stress-energy-momentum tensor for gravity" above.

D. Chakalov
March 17, 2010

----
Subject: Merry Christmas
Date: Fri, 25 Dec 2009 13:45:04 +0200
Message-ID:
<bed37360912250345i2673cd82y35e969b267568d43@mail.gmail.com>
From: Dimi Chakalov <dchakalov@gmail.com>
To: Brian <bdj10@cam.ac.uk>, Gerard <g.thooft@uu.nl>

Dear Brian and Gerard,

I wish you and your families a very merry Christmas and all the best for 2010 and beyond.

May I use this opportunity to invite you to save human lives by taking action on the 9/11 issue,

http://tinyurl.com/steel-evaporation

With God, everything is possible.

Cordially yours,

Dimi

==========================

Subject: Re: STRANGE MISCONCEPTIONS OF GENERAL RELATIVITY, by G. 't Hooft
Date: Fri, 19 Mar 2010 15:01:04 +0200
From: Dimi Chakalov <dchakalov@gmail.com>
To: Stephen Crothers <thenarmis@gmail.com>
Cc: [snip]

Dear Stephen,

> Mr. 't Hooft uses the linearised form of the field equations. He is
> evidently ignorant of the fact that Hermann Weyl proved, in 1944, that
> linearisation is inadmissible because it implies the existence of a tensor
> that, except for the trivial case of being precisely zero, does not
> otherwise exist.

Yes, many people ignore Hermann Weyl's 1944 article,

http://www.sjcrothers.plasmaresources.com/weyl-1.pdf

I quoted from it at

http://www.god-does-not-play-dice.net/Szabados.html#H6

http://www.god-does-not-play-dice.net/#SBG_new

Perhaps G. 't Hooft should refer to Hermann Weyl as "Mr. W".

All the best,

Dimi
 

=============================

Subject: Re: STRANGE MISCONCEPTIONS OF GENERAL RELATIVITY, by G. 't Hooft
Date: Fri, 19 Mar 2010 08:00:32 -0500
Message-ID: <4BA37570.5040601@math.missouri.edu>
From: Adam Helfer <adam@math.missouri.edu>
Reply-To: helfera@missouri.edu
To: Dimi Chakalov <dchakalov@gmail.com>

Dear Dimi,

Please remove me from this thread.

Thanks,

Adam Helfer
 

Dimi Chakalov wrote:

Dear colleagues,

If you wish to be removed from this thread, please say so.

The whole issue about GR is very simple indeed; I managed to explain
it even to my teenage daughter,

http://www.god-does-not-play-dice.net/#Bahn

All the best,

Dimi

--

Adam Helfer
Department of Mathematics
University of Missouri -- Columbia
Columbia, MO 65211

tel. (573) 882-7283
fax (573) 882-1869

==========================

Subject: Re: STRANGE MISCONCEPTIONS OF GENERAL RELATIVITY, by G. 't Hooft
Date: Fri, 19 Mar 2010 15:40:32 +0200
From: Dimi Chakalov <dchakalov@gmail.com>
To: Stephen Crothers <thenarmis@gmail.com>
Cc: "C. Y. Lo" <c_y_lo@yahoo.com>

Dear Stephen,

> Concerning the quantity 'r' in the "Schwarzschild solution", Mr. 't Hooft,
> in his lecture notes, calls it the shortest distance to the centre. He also
> calls it the radial coordinate or coordinate radius. He even told me once
> that it is a gauge choice that defines what 'r' is. It has never been
> correctly identified by any proponent of the black hole nonsense. All these
> concepts are false because it is irrefutably the inverse square root of the
> Gaussian curvature of the spherically symmetric geodesic surface in the
> spatial section and is thereby not even a distance in the related manifold.
> Here is my detailed analysis of this:
>
> http://www.ptep-online.com/index_files/2007/PP-09-14.PDF
>
> http://www.ptep-online.com/index_files/2008/PP-12-11.PDF

Unfortunately, Adam Helfer quits:

http://www.god-does-not-play-dice.net/#Helfer

Please remove his email address from this thread.

All good wishes,

Dimi

 

==========================

Subject: Stress-energy-momentum tensor for gravity: Casting pearls (G. 't Hooft) to the swine
Date: Sun, 15 Aug 2010 03:58:19 +0300
Message-ID:
<AANLkTin-9GH5asbLdRRpG9zXGEyK1+=D--yByYZSByxy@mail.gmail.com>
From: Dimi Chakalov <dchakalov@gmail.com>
To: CEOFOP <G.tHooft@uu.nl>,
Tobias Schwaibold <Tobias.Schwaibold@springer.com>,
"Szabados,L." <lbszab@rmki.kfki.hu>,
"Dupre, Maurice J" <mdupre@tulane.edu>,
Norbert Straumann <norbert.straumann@gmail.com>,
Domenico Giulini <domenico.giulini@itp.uni-hannover.de>,
Luca Bombelli <luca@phy.olemiss.edu>,
Adam Helfer <adam@math.missouri.edu>,
Stephen Crothers <thenarmis@gmail.com>,
"C. Y. Lo" <c_y_lo@yahoo.com>,
Merced Montesinos Velásquez <merced@fis.cinvestav.mx>,
Niall Ó Murchadha <niall@ucc.ie>,
Robert M Wald <rmwa@midway.uchicago.edu>,
Don Marolf <marolf@physics.ucsb.edu>,
Malcolm MacCallum <m.a.h.maccallum@qmul.ac.uk>,
Alan Rendall <rendall@aei.mpg.de>,
Jose M M Senovilla <josemm.senovilla@ehu.es>,
Jorge Pullin <pullin@lsu.edu>,
Eduardo Guendelman <guendel@bgu.ac.il>,
Sergio Doplicher <dopliche@mat.uniroma1.it>,
Richard Price <Richard.Price@utb.edu>,
Chris Isham <c.isham@imperial.ac.uk>,
John Stachel <john.stachel@gmail.com>


Dear Colleagues,

Regarding the stress-energy-momentum tensor for gravity, introduced by G. 't Hooft:

http://www.phys.uu.nl/~thooft/gravitating_misconceptions.html

"One way to see how this works, is to split the metric g_mv into a background part, [X], for which we could take flat space-time, and a dynamical part: [XX].
......
"The stress-energy-momentum tensor can then be obtained routinely by considering infinitesimal variations of the background part, just like one does for any other type of matter field; the infinitesimal change of the total action (the space-time integral of the Lagrange density) then yields the stress-energy-momentum tensor. Of course, one finds that the dynamical part of the metric indeed carries energy and momentum, just as one expects in a gravitational field. As hydro-electric plants and the daily tides show, there's lots of energy in gravity, and this agrees perfectly with Einstein's original equations."

Another quote from CEOFOP:

"Any doubts about these facts are removed once the existence and properties of the Green functions for the linearized theory have been established. These Green functions can then be used to study systematic expansions to obtain the solutions of the complete, non-linear theory, to any required accuracy. Good theoretical physicists completely control the proper use of Green functions. (...) I did construct them, and found that, provided due attention is paid to the gauge freedom in the use of coordinates, these functions are well-behaved."

It is "casting pearls to the swine", says CEOFOP (Chief Editor Of Foundations Of Physics).

This is not a joke: check out the link above. The PDF file from his web page is available, too.

Final quote: "A third player, DC, strongly supports L and C, but his claims are too opaque for me to even address."

My "opaque" claims can be read at

http://www.god-does-not-play-dice.net/#Alice

http://www.god-does-not-play-dice.net/ExplanatoryNote.pdf

You'll be the judge.

Yours sincerely,

D. Chakalov

=======================


Note: URL of the web page at

http://www.phys.uu.nl/~thooft/gravitating_misconceptions.html

Download "Strange Misconceptions of General Relativity", by Gerard ’t Hooft, version from January 4, 2010 (CEOFOP.zip) from

http://www.god-does-not-play-dice.net/CEOFOP.zip

And version from August 15th (CEOFOP_1.zip) from

http://www.god-does-not-play-dice.net/CEOFOP_1.zip

To get Gerard ’t Hooft's "pearls" of wisdom, all you need is to split the metric g_mv into a "background part" (to obtain "flat space-time"), and a dynamical part that "carries energy and momentum", as "hydro-electric plants and the daily tides show". Just don't forget to use "well-behaved" Green functions.

A colleague of mine offered only a brief comment: "It's madness, utter madness."

Notice another essay by CEOFOP, entitled: "Will the Higgs be found?",

http://www.god-does-not-play-dice.net/Gerardus_predictions.pdf

He claims (May 12, 2010) that "theories without any Higgs particle are possible but ugly and have been practically ruled out by observations", but failed to comment on Howard Georgi's unparticles and my prediction from January 9, 2003.

As Howard Georgi explained, “there could be a scale-invariant world separate from our own that is hidden from us”. My comment: we can "see" this scale-invariant world with our brains only, as we know since Plato.

LHC is deaf and blind to the scale-invariant world, hence will only "see" that the number of quarks is jumping to 8 and more, in a Fibonacci sequence.
 

 

Qui vivra, verra.

D.C.
August 16, 2010
Last update: August 22, 2010




================================================

Subject: STOP wasting taxpayers' money !
Date: Thu, 8 Oct 2009 18:20:21 +0100
From: Dimi Chakalov <dchakalov@gmail.com>
To: Roger Blandford <rdb3@stanford.edu>
Cc: Lynne Hillenbrand <lah@astro.caltech.edu>,
Donald C Shapero <dshapero@nas.edu>,
Caryn Knutsen <astro2010@nas.edu>,
bpa@nas.edu,
Tom Prince <prince@srl.caltech.edu>

Roger:

I do hope my preceding email messages have been safely received.

I wonder if you have discussed my objections to LIGO funding at your latest meeting

http://sites.nationalacademies.org/BPA/BPA_049810#statement

Keep in mind that the forthcoming scandal about LIGO will be enormous:

http://www.god-does-not-play-dice.net/Szabados.html#SBG

http://www.god-does-not-play-dice.net/#NSF

Just don't keep quiet, and don't ever say you knew nothing about it.

Sincerely,

D. Chakalov
35 Sutherland St
London SW1V 4JU, U.K.

==========================

Subject: Astro2010 Survey Committee Meeting, January 25-27, 2010
Date: Thu, 22 Oct 2009 02:43:57 +0300
From: Dimi Chakalov <dchakalov@gmail.com>
To: Martha Haynes <haynes@astro.cornell.edu>,
Fiona Harrison <fiona@srl.caltech.edu>,
Marcia J Rieke <mrieke@as.arizona.edu>,
Lynne Hillenbrand <lah@astro.caltech.edu>,
Caryn Knutsen <astro2010@nas.edu>,
Lars Bildsten <bildsten@kitp.ucsb.edu>,
John Carlstrom <jc@ddjob.uchicago.edu>,
Timothy Heckman <heckman@pha.jhu.edu>,
Jonathan Lunine <lunine@physics.arizona.edu>,
Juri Toomre <jtoomre@jila.colorado.edu>,
Scott Tremaine <tremaine@ias.edu>,
John Huchra <huchra@cfa.harvard.edu>,
Donald C Shapero <dshapero@nas.edu>,
Roger Blandford <rdb3@stanford.edu>
Cc: Paulett C Liewer <Paulett.C.Liewer@jpl.nasa.gov>,
Bruce Goldstein <Bruce.Goldstein@jpl.nasa.gov>,
NASA Official Thomas A Prince <prince@srl.caltech.edu>,
8th International LISA Symposium <vdrew@stanford.edu>,
Curt Cutler <Curt.J.Cutler@jpl.nasa.gov>,
Michele Vallisneri <vallis@vallis.org>


Ladies and Gentlemen,

Please terminate the financial support for LIGO,

http://www.god-does-not-play-dice.net/Szabados.html#SBG

http://www.god-does-not-play-dice.net/#NSF

The sooner, the better.

Yours sincerely,

Dimi Chakalov
35 Sutherland St
London SW1V 4JU, U.K.



==========================

Subject: [Copy] Email sent to Living Reviews in Relativity
Date: Tue, 22 Sep 2009 04:08:26 +0200 (CEST)
From: contact.lrr@livingreviews.org
Message-Id: <20090922020826.C522424C0C3@escidoc2.escidoc.mpg.de>
To: dchakalov@gmail.com

Hello Dimi Chakalov,

This is a copy of the email you sent to Living Reviews in Relativity. If appropriate to your message, you should receive a response quickly. You successfully sent the following information:

   Email: dchakalov@gmail.com
   Phone:
   Website: http://www.god-does-not-play-dice.net/#NB
   Subject: To make a comment

Message:
   Regarding GW parapsychology:

http://www.god-does-not-play-dice.net/Szabados.html#SBG

Please confirm the receipt of this email.

Yours faithfully,

Dimi Chakalov


--------------------------
Other Data and Information:
   Time Stamp: Tuesday, September 22nd, 2009 at 4:08 am

 

=========================

Subject: Re: "yes, I do understand GR, but cannot discuss that now."
Date: Tue, 20 Oct 2009 23:46:37 +0300
From: Dimi Chakalov <dchakalov@gmail.com>
To: Stanley Deser <deser@brandeis.edu>
Cc: Joel Franklin <jfrankli@reed.edu>,
Richard Woodard <woodard@phys.ufl.edu>,
Andrew Waldron <wally@math.ucdavis.edu>,
Steven Carlip <carlip@physics.ucdavis.edu>,
John Baez <baez@math.ucr.edu>,
John W Barrett <john.barrett@nottingham.ac.uk>

Stanley:

On 31 March 2006, you claimed that you "do understand GR, but cannot discuss that now."

If this is indeed the case, then you should be able to find at least one error in my proposal at

http://www.god-does-not-play-dice.net/#NB

Please demonstrate that you understand GR.

I extend this request to your colleagues as well.

Regards,

Dimi

----------

Subject: "yes, I do understand GR, but cannot discuss that now."
Date: Fri, 31 Mar 2006 15:54:26 +0300
From: Dimi Chakalov <dimi@chakalov.net>
To: Deser <deser@brandeis.edu>

No rush, take your time, I'm all yours.

D.C.

 

==============================

Subject: Re: "yes, I do understand GR, but cannot discuss that now."
Date: Wed, 21 Oct 2009 01:32:35 +0300
From: Dimi Chakalov <dchakalov@gmail.com>
To: Stanley Deser <deser@brandeis.edu>
Cc: Joel Franklin <jfrankli@reed.edu>,
Richard Woodard <woodard@phys.ufl.edu>,
Andrew Waldron <wally@math.ucdavis.edu>,
Steven Carlip <carlip@physics.ucdavis.edu>,
John Baez <baez@math.ucr.edu>,
John W Barrett <john.barrett@nottingham.ac.uk>

On Wed, Oct 21, 2009 at 1:14 AM, Stanley Deser <deser@brandeis.edu> wrote:
>
> Dear Sir,
> I cannot spare the time for your proposals; why not submit to a journal &
> see what happens? sd

Gladly.

Would you, or any of your colleagues, endorse the submission of my manuscript

http://arxiv.org/help/endorsement ?

The basic arguments are at

http://www.god-does-not-play-dice.net/Szabados.html#SBG

I will be happy to send you, or any of your colleagues, my manuscript, entitled: "A Taxpayer's Perspective On GW Astronomy".

Regards,

Dimi

============================


Subject: Re: "yes, I do understand GR, but cannot discuss that now."
Date: Wed, 21 Oct 2009 02:20:01 +0300
From: Dimi Chakalov <dchakalov@gmail.com>
To: Stanley Deser <deser@brandeis.edu>
Cc: Joel Franklin <jfrankli@reed.edu>,
Richard Woodard <woodard@phys.ufl.edu>,
Andrew Waldron <wally@math.ucdavis.edu>,
Steven Carlip <carlip@physics.ucdavis.edu>,
John Baez <baez@math.ucr.edu>,
John W Barrett <john.barrett@nottingham.ac.uk>

On Wed, Oct 21, 2009 at 1:47 AM, Stanley Deser <deser@brandeis.edu> wrote:
>
> Not I!
>
> http://arxiv.org/help/endorsement ?

But didn't you say that you "do understand GR"? You're the right person.

Would you, or any of your colleagues, like to help U.S. National Science Foundation?

http://www.god-does-not-play-dice.net/#NSF

Again, the simple arguments are at

http://www.god-does-not-play-dice.net/Szabados.html#SBG

I can write up a polite (not frank) paper and send it to you or any of your colleagues -- you all are experts in GR. I only need endorsement of my manuscript.

BILLIONS of U.S. dollars -- all taxpayers' money -- will be wasted by your LIGO "colleagues".

Looking forward to hearing from you at your earliest convenience,

Yours faithfully,

Dimi Chakalov

=======================

Subject: Prince of darkness
Date: Fri, 16 Oct 2009 14:41:14 +0300
From: Dimi Chakalov <dchakalov@gmail.com>
To: Alex Murphy <a.s.murphy@ed.ac.uk>
Cc: rminchin@naic.edu, Jonathan.Davies@astro.cf.ac.uk,
Mike.Disney@astro.cf.ac.uk, LangRH@cardifff.ac.uk, Sarah.Roberts@astro.cf.ac.uk, sabatini@mporzio.astro.it, BoyceP@cardiff.ac.uk, caj@jb.man.ac.uk, Wim.vanDriel@obspm.fr, benjamin.allanach@googlemail.com, s.sarkar@physics.ox.ac.uk, matthew.chalmers@iop.org, Plus@maths.cam.ac.uk, J.D.Barrow@damtp.cam.ac.uk, blanchet@iap.fr

Dear Dr Murphy,

I read with great interest your interview at

http://physicsworld.com/cws/article/indepth/40654

I wonder if your WIMP hypothesis can tackle the discrepancy between the generic formation of cusps of CDM

http://spacetelescope.org/videos/html/mov/320px/heic0701f.html

and the rotation curves, which seem to favor a constant density profile in the core (Blanchet and Le Tiec, arXiv:0901.3114v2).

Also, may I ask ask you and your colleagues to comment on John Barrow's explanation of the apparent "repulsive force associated with the cosmological constant",

Gravitational Force = -GMm/r^2 + m[lambda]r

http://plus.maths.org/issue51/features/lambda/index.html

It seems to me that his idea is a bona fide case of Murphy's Law No. 15. I suspect that CDM and DDE are due to spacetime acting upon itself, hence the "acting agent" cannot _in principle_ be traced back to any concrete physical stuff,

http://www.god-does-not-play-dice.net/#NB

BTW you said in your interview that have done a café scientifique in Moscow, "which was pretty scary". Did you meet

http://www.god-does-not-play-dice.net/russian.html ?

Kindest regards,

Dimi Chakalov
----
Murphy's Law No. 15: Complex problems have simple, easy-to-understand
wrong answers.

===========================

Subject: Re: Prince of darkness
Date: Fri, 15 Apr 2011 00:22:00 +0300
From: Dimi Chakalov <dchakalov@gmail.com>
To: Alex Murphy <a.s.murphy@ed.ac.uk>
Cc: rminchin@naic.edu, Jonathan.Davies@astro.cf.ac.uk,
Mike.Disney@astro.cf.ac.uk, Sarah.Roberts@astro.cf.ac.uk,
BoyceP@cardiff.ac.uk, caj@jb.man.ac.uk, Wim.vanDriel@obspm.fr,
benjamin.allanach@googlemail.com, s.sarkar@physics.ox.ac.uk,
matthew.chalmers@iop.org, Plus@maths.cam.ac.uk,
J.D.Barrow@damtp.cam.ac.uk, blanchet@iap.fr, michael.banks@iop.org

Hi Alex,

Did you really say, after the failure of XENON 100, that "a clear dark-matter signal could be just round the corner" ?

http://physicsworld.com/cws/article/news/45697

Would you like to learn why WIMPS are just an artifact from your essentially incomplete "standard model"?

The story begins with KS Theorem:
http://www.god-does-not-play-dice.net/#Specker_addendum

Shall I elaborate, or would you prefer to leave you waste your time with ZEPLIN III?

Dimi



=====================================

Subject: The Arrow of Time
Date: Mon, 2 Nov 2009 05:55:52 +0200
From: Dimi Chakalov <dchakalov@gmail.com>
To: Claus Kiefer <kiefer@thp.uni-koeln.de>
Cc: Laura Mersini-Houghton <mersini@physics.unc.edu>,
Ruediger Vaas <ruediger.vaas@konradin.de>,
Pankaj S Joshi <psj@tifr.res.in>,
H D Zeh <zeh@uni-heidelberg.de>,
Alan H Guth <guth@ctp.mit.edu>,
Jean-Pierre Luminet <jean-pierre.luminet@obspm.fr>,
Adam Helfer <adam@math.missouri.edu>,
Richard Lieu <lieur@cspar.uah.edu>

Dear Claus,

It seems to me that you are trying to explain one 'unknown' with another 'unknown'.

As you stated in [Ref. 1, p. 2], the topic of your essay -- the origin of the arrow of time -- is based on the singularity theorems of GR. Take Hawking-Penrose theorem, published in 1970. It presupposes some specific energy conditions [Refs. 2 and 3], which cannot hold in a world dominated by "dark energy"; see Rakhi and Indulekha at

http://www.god-does-not-play-dice.net/#GR

On top of everything, the hypothetical gravitational "collapse" is highly controversial in the first place [Ref. 4].

Perhaps it will be a good idea if you first sort out the unsolved mysteries in the basis of your essay [Ref. 1], as neither S. Hawking nor R. Penrose were anticipating some "dark energy" in 1970s.

I will appreciate your professional reply, as well as the comments from your colleagues.

Kindest regards,

Dimi

-----------

[Ref. 1] Claus Kiefer, Can the Arrow of Time be understood from Quantum Cosmology? arXiv:0910.5836v1 [gr-qc], to appear in "The Arrow of Time", ed. by L. Mersini-Houghton and R. Vaas, http://arxiv.org/abs/0910.5836

From the abstract: "Remarks are also made concerning (...) scenarios motivated by dark energy."

p. 2: "The question raised by the presence of all these arrows is whether a common master arrow of time is behind all of them.
...
"As indicated by the singularity theorems of general relativity, a consistent description of the Big Bang may require a new framework such as quantum gravity. The question then arises whether the origin of the arrow of time can be understood there. This is the topic of my essay.
...
p. 11: "Since our present Universe is dominated by dark energy, which for our purpose here can be approximated by a cosmological constant [lambda], ...
...
p. 12: "In the case of a non-vanishing cosmological constant ... "


[Ref. 2] Pankaj S. Joshi, On the genericity of spacetime singularities,
arXiv:gr-qc/0702116v1, http://arxiv.org/abs/gr-qc/0702116

[Ref. 3] Carlos Barcelo, Matt Visser, Twilight for the energy conditions?
arXiv:gr-qc/0205066v1, http://arxiv.org/abs/gr-qc/0205066

p. 2: "If you believe the recent observational data regarding the accelerating universe, then the SEC is violated on cosmological scales right now!"

See also: H. Epstein, V. Glaser and A. Jaffe, Nonpositivity of the energy density in quantized field theories, Nuovo Cim. 36(3) (1965) 1016-1022


[Ref. 4] Stephen J. Crothers, Geometric and Physical Defects in the Theory of Black Holes
http://www.sjcrothers.plasmaresources.com/MSAST-Crothers.pdf



----------
Note: Let's try to find out what we know that we don't know regarding 'The Arrow of Time'.

1. Claus Kiefer speculated extensively about 'entropy' [Ref. 1], but we "do not have a rigorous definition of entropy for systems coupled to gravity" [Ref. 5; see also the discussion of Eq. 1 on p. 7 therein].

2. We are also conditioned to believe that, since the Einstein field equations are "local", it would be impossible that "the global topology of the spatial section of an FLRW universe could have an effect on that universe's dynamics" [Ref. 6]. But Einstein field equations themselves are totally inadequate for addressing the main puzzle of non-unitary emergence of 'energy from empty space' -- see above. This opens an opportunity to seek 'the arrow of time' in global topology changes, to at least gather some hints as to how the Einstein field equations should be modified to tackle the source of "dynamic dark energy".

3. If we look at the "expanding" FRW universe above, the first puzzle we should notice is that the cosmological time, as read by our wristwatch, should not be observable: while FRW equations describe the physical time evolution, the "observed" quantities are "not gauge invariant and therefore should not be observable in obvious contradiction to reality", cf. T. Thiemann [Ref. 7].

3.1. Thomas Thiemann has argued that a tentative solution may be offered with some of those "scalar fields" introduced ad hoc [Ref. 7], to bypass the direct approach to the "dark energy" from the quantum vacuum. Unfortunately, all those "scalar fields" are red herring, firstly because there is no symmetry mechanism preventing their strong coupling -- see Sec. 2.2 in [Ref. 8].

3.2. Thomas Thiemann offered an 'either - or' dilemma [Ref. 7], but the answer to the puzzle may be 'both': the new physics that we're missing does affect QED, and of course the predictions for LHC.

4. Notice that the "dark" effects from 'potential reality' have to be camouflaged in GR as "gauge-dependent". This should be expected, as present-day GR cannot handle 'absolute structures' such as the source of 'energy from empty space'. Surely "absolute structures carry no observable content" [Ref. 9]. Perfect!

Pity Claus Kiefer ignored my posting from Dec. 26, 2008 @ 17:01 GMT: the Hilbert space problem (C. Kiefer, Quantum geometrodynamics: whence, whither?", arXiv:0812.0295v1 [gr-qc]) may be solved along with the 'problem of time' en bloc, as it should be done.

D. Chakalov
November 2, 2009

References

[Ref. 5] Sean M. Carroll, Is Our Universe Natural? arXiv:hep-th/0512148v1,
http://arxiv.org/abs/hep-th/0512148

[Ref. 6] Boudewijn F. Roukema, Some spaces are more equal than others, arXiv:0910.5837v1 [astro-ph.CO], http://arxiv.org/abs/0910.5837

[Ref. 7] Thomas Thiemann, Solving the Problem of Time in General Relativity and Cosmology with Phantoms and k -- Essence, arXiv:astro-ph/0607380v1,
http://arxiv.org/abs/astro-ph/0607380

"Either the mathematical formalism, which has been tested experimentally so excellently in other gauge theories such as QED, is inappropriate or we are missing some new physics."

[Ref. 8] Sean M. Carroll, Dark Energy and the Preposterous Universe, arXiv:astro-ph/0107571v2, http://arxiv.org/abs/astro-ph/0107571

[Ref. 9] Domenico Giulini, Some remarks on the notions of general covariance and background independence, arXiv:gr-qc/0603087v1,
http://arxiv.org/abs/gr-qc/0603087

p. 4: "Transition functions relabel the points that constitute M, which for the time being we think of as recognizable entities, as mathematicians do. (For physicists these points are mere ‘potential events’ and do not have an obvious individuality beyond an actual, yet unknown, event that realizes this potentiality.)
...
p. 11: "An absolute structure is a coordinate which takes the same range of values in each Diff(M) orbit and therefore cannot separate any two of them. If we regard Diff(M) as a gauge group, i.e. that Diff(M)-related configurations are physically indistinguishable, then absolute structures carry no observable content."

 

===========================

Subject: How to quantize spacetime without affecting relativity
Date: Fri, 30 Oct 2009 10:25:10 +0200
From: Dimi Chakalov <dchakalov@gmail.com>
To: Giovanni Amelino-Camelia <amelino@roma1.infn.it>
Cc: Richard Lieu <lieur@cspar.uah.edu>,
Jonathan Granot <j.granot@herts.ac.uk>

Hi Giovanni,

Regarding (i) you speculation from August 1998,

http://www.nature.com/nature/journal/v398/n6724/abs/398216a0.html

(ii) my email messages sent in the past three years (no reply from you), and (iii) the latest confirmation of Lieu & Hillman's direct evidence against Planck-scale fluctuations in spacetime by Jonathan Granot,

http://www.nature.com/news/2009/091028/full/news.2009.1044.html

see
http://www.god-does-not-play-dice.net/#NB

Please don't ever say you knew nothing about it.

Dimi

=================

Subject: Re: How to quantize spacetime without affecting relativity
Date: Fri, 30 Oct 2009 12:13:16 +0200
From: Dimi Chakalov <dchakalov@gmail.com>
To: Giovanni.Amelino-Camelia@roma1.infn.it
Cc: Richard Lieu <lieur@cspar.uah.edu>, Jonathan Granot <j.granot@herts.ac.uk>,

Hi Giovanni,

> the first point is that you describe the recent
> Fermi-telescope result as a test of "Planck-scale
> fluctuations in spacetime"

Nope. The common issue is the end result from two very different approaches, by Richard and Jonathan. That is what matters.

If you wish to say something, first read the story at

http://www.god-does-not-play-dice.net/#NB

> I repeat: I shall be happy to offer more help
> if the requests are respectful and reflect a serious
> investment in the relevant literature

Please go ahead. The refuter of your speculations is one click away.

Take care,

Dimi

============

Subject: Re: How to quantize spacetime without affecting relativity
Date: Fri, 30 Oct 2009 16:59:10 +0200
From: Dimi Chakalov <dchakalov@gmail.com>
To: Richard Lieu <richardlieuuah@gmail.com>
Cc: Giovanni.Amelino-Camelia@roma1.infn.it, amelino@roma1.infn.it,
"Kouveliotou, Chryssa (MSFC-VP62)" <chryssa.kouveliotou@nasa.gov>,
"sylvain.guiriec@lpta.in2p3.fr" <sylvain.guiriec@lpta.in2p3.fr>,
"Veronique.Pelassa@lpta.in2p3.fr" <Veronique.Pelassa@lpta.in2p3.fr>,
"ohnomasa272@gmail.com" <ohnomasa272@gmail.com>, rdb3@stanford.edu,
James A Miller <millerja@uah.edu>, fixj@uah.edu, Rob Preece <Rob.Preece@nasa.gov>, Jonathan Granot <j.granot@herts.ac.uk>

Dear Richard,

> I am truly grateful to all of you who wish to vindicate our 2003 work,
> but note also that our paper was six years ago and times were
> different. The Fermi limit is indeed unique, as they tested
> systematic rather than random 1st order Planck scale effect. Giovanni
> is right - the Fermi test was not about fluctuations, but real
> dispersion.

Of course. What I did say in my preceding email was: "The common issue is the end result from two very different approaches, by Richard and Jonathan. That is what matters."

Maybe I should have added 'that is what matters to the question in the subject line'.

Regrettably, Giovanni can't see the forest for the trees. Details about 'the forest' at

http://www.god-does-not-play-dice.net/#NB

Kindest regards,

Dimi


========================

Subject: "Specifically, because of the Kocken-Specher theorem, ..." (arXiv:0911.2135v1 [gr-qc], p. 187)
Date: Thu, 12 Nov 2009 05:57:44 +0200
From: Dimi Chakalov <dchakalov@gmail.com>
To: Cecilia Flori <cecilia.flori@aei.mpg.de>
Cc: Jan Plefka <jan.plefka@physik.hu-berlin.de>,
Steven Vickers <S.J.Vickers@cs.bham.ac.uk>

Dear Dr. Flori,

I've been reading your Ph.D. Thesis in the past three hours, and am truly amazed by your professional approach and perfectionism. You are a treasure.

Regarding KS Theorem, I think one can argue that the truth value of the propositions should be YAIN (Chris Isham disagrees, for unknown to me reasons). In your spare time, please see an outline at

http://www.god-does-not-play-dice.net/#NB

I will appreciate your professional opinion, as well as the feedback from your distinguished colleagues.

With all good wishes,

Dimi Chakalov
------

Note: Watch Cecilia Flori's lecture "Topos formulation of Consistent Histories", 14.01.2009, http://pirsa.org/09010017. She handles the topos theory and the ice hockey stick with agility and unmatched precision.

 

========================

Subject: Re: When are you going to respond professionally?
Date: Sat, 24 Oct 2009 10:47:42 +0300
From: Dimi Chakalov <dchakalov@gmail.com>
To: Christian Corda <cordac.galilei@gmail.com>
Cc: lsfinn@psu.edu, cornish@physics.montana.edu, vfaraoni@ubishops.ca

On Fri, 23 Oct 2009 20:24:45 +0200, Christian Corda <cordac.galilei@gmail.com> wrote:
[snip]

> YOU DO NOT NOT UNDERSTAND GRAVITATION.

Prove it. My SBG argument is at the link below.

Sincerely,

D. Chakalov

On Fri, 23 Oct 2009 12:49:14 +0300, Dimi Chakalov <dchakalov@gmail.com> wrote:
>
>> Gentlemen:
>>
>> I mentioned your names and recent papers at
>>
>> http://www.god-does-not-play-dice.net/Szabados.html#SBG
[snip]

 

=========================

Subject: Taxpayer's perspective on GW astronomy
Date: Mon, 26 Oct 2009 12:44:06 +0200
From: Dimi Chakalov <dchakalov@gmail.com>
To: Laszlo Szabados <lbszab@rmki.kfki.hu>,
Robert M Wald <rmwa@midway.uchicago.edu>,
Joel Franklin <jfrankli@reed.edu>,
Richard Woodard <woodard@phys.ufl.edu>,
Andrew Waldron <wally@math.ucdavis.edu>,
Steven Carlip <carlip@physics.ucdavis.edu>,
John Baez <baez@math.ucr.edu>,
John W Barrett <john.barrett@nottingham.ac.uk>,
Chris Isham <c.isham@imperial.ac.uk>

Dear colleagues,

I wonder if you would agree to endorse the submission of my manuscript to [gr-qc],

http://arxiv.org/help/endorsement

The basic arguments are at

http://www.god-does-not-play-dice.net/Szabados.html#SBG

I will be happy to send you my manuscript, entitled: "Taxpayer's perspective on GW astronomy". Will be brief and utterly polite (not frank, as at my web site).

Kindest regards,

Dimi Chakalov
-------------

Note: Excerpts from http://arxiv.org/help/endorsement :

"The endorsement process is not peer review. You should know the person that you endorse or you should see the paper that the person intends to submit. We don't expect you to read the paper in detail, or verify that the work is correct, but you should check that the paper is appropriate for the subject area. You should not endorse the author if the author is unfamiliar with the basic facts of the field, or if the work is entirely disconnected with current work in the area."

Stanley Deser refused to even consider endorsing my manuscript. I do hope some of his colleagues will agree.

If you, my dear reader, have papers "that have been submitted between three months and five years ago" to [gr-qc] or [astro-ph] domains, and would agree to endorse the submission of my manuscript, please contact me by email as soon as possible, and I will send you my manuscript.

D. Chakalov
October 27, 2009

 

==========================

Subject: Re: Taxpayer's perspective on GW astronomy
Date: Tue, 3 Nov 2009 23:24:06 +0200
From: Dimi Chakalov <dchakalov@gmail.com>
To: Jonathan Thornburg <jthorn@astro.indiana.edu>
Cc: Jim Isenberg <isenberg@uoregon.edu>

Hi Jonathan,

Thanks for your reply. I regret that you refused to endorse the submission of my manuscript to [gr-qc]. As you put it in lrr-2007-3,

"The event horizon is a global property of an entire spacetime and is defined nonlocally in time: The event horizon in a slice is defined in terms of (and cannot be computed without knowing) the full future development of that slice."

... provided we know the source of DDE,

http://www.god-does-not-play-dice.net/#GR

Take care,

Dimi

>> I wonder if you would agree to endorse the submission of my manuscript
>> to [gr-qc] or [astro-ph],
>>
>> http://arxiv.org/help/endorsement
>>
>> The basic arguments are at
>>
>> http://www.god-does-not-play-dice.net/Szabados.html#SBG

---------

Note: Forty years have passed since Roger Penrose suggested the so-called Cosmic Censorship Conjecture (CCC), and people continue to ground their efforts on it (cf. Jonathan Thornburg and Michael I. Cohen et al., p. 2) and offer bets and drawings of "quantum horizon geometry".

Notice that the methods for finding an accurate history of the so-called event horizon (you need the "event horizon" (EH) in order to speculate about "black holes" viz. "binary black hole mergers" as "one of the most astrophysically common sources of gravitational radiation for detectors such as LIGO", cf. Mike Cohen et al.)  require complete knowledge of "the full future evolution of the spacetime before the EH can be determined exactly" (ibid.).

Which is why you need to address the global dynamics of spacetime: the increasing emergence of energy-of-empty-space due to DDE.

Just one "closed timelike curve" (CTC) or "time-like naked singularity" in the past 13.7B years would have destroyed everything, and since there are no strict bans on such catastrophic events (they simply have never happened, just like the ultraviolet catastrophe), "prohibited" only by people's belief in the current "dynamics" of GR and CCC in particular, recall that those "famous" singularity theorems are from 1970s, when nobody was aware of the flux of DDE.

Two examples: Geroch's theorem regarding CTCs (Robert Geroch, Topology in general relativity, J. Math. Phys. 8, 782-786 (1967)) and Tipler's theorem, which stipulates that, given the (obvious) possitiveness of the energy-momentum tensor, there can be no changes in the topology of spacetime, hence the causal structure of spacetime is secured (Frank J. Tipler, Singularities and causality violation, Ann. Phys. 108, 1-36 (1977)), are from the old days of GR without DDE.

As Alan Rendall stated (p. 14), "The study of these matters is still in a state of flux." Which is why I requested endorsement of my manuscript.

So far two physicists have replied (J. Thornburg and S. Deser), the rest (73) have not even confirmed the receipt of my email (sent between October 26th
and October 28th). Same story in September 2008. I'm talking to a brick wall.

D. Chakalov
November 4, 2009
Last update: April 6, 2011

 

==========================

Subject: Re: GR17, Session D1
Date: Mon, 2 Nov 2009 19:08:46 +0200
From: Dimi Chakalov <dchakalov@gmail.com>
To: Thomas Thiemann <tthiemann@perimeterinstitute.ca>,
thomas.thiemann@aei.mpg.de
Cc: lsmolin@perimeterinstitute.ca,
Curt.Cutler@aei.mpg.de,
brien.nolan@dcu.ie

Thomas,

I quoted from your astro-ph/0607380 at

http://www.god-does-not-play-dice.net/#note

Five years ago, you decided to bury my report into an evening poster session, and granted Lee Smolin three oral presentations: on Monday, July 19th ("Background independent approach to M theory", D2), on Tuesday, July 20th ("The low energy behavior of loop quantum gravity", D1), and finally on Friday, July 23rd ("Inflation in loop quantum gravity", B2i).

What you did to me was bloody unfair. Typical for a DDR communist.

Dimi

----------
Subject: Re: GR17, Session D1
From: Dimi Chakalov <dimi@chakalov.net>
Date: Sun, 06 Jun 2004 22:59:15 +0300
To: tthiemann <tthiemann@perimeterinstitute.ca>
CC: Curt.Cutler@aei.mpg.de, brien.nolan@dcu.ie

Dear Thomas,

Please inform me about possible upgrade of my poster presentation to talk. I'm encountering tremendous difficulties in transforming my GR17 paper to poster. Feel like having my mouth shut with duck tape.

Best - Dimi

 

===========================

Subject: A fourth road to quantum gravity
Date: Fri, 6 Nov 2009 16:10:45 +0200
From: Dimi Chakalov <dchakalov@gmail.com>
To: Mark Buchanan <buchanan.mark@gmail.com>
Cc: Didier Sornette <dsornette@ethz.ch>,
Lee Smolin <lsmolin@perimeterinstitute.ca>,
Chris Isham <c.isham@imperial.ac.uk>


Dear Dr. Buchanan,

I would like to make two comments on your online article "In search of the black swans" [Ref. 1].

I'm interested in proactive management of emerging risks, type "black swans". With the benefit of hindsight, it seems to me that the event of 9/11 could not have been predicted, for reasons entire different than Max Planck's discovery; please see

http://tinyurl.com/steel-evaporation

The second comment pertains to the subject of this email: I believe Lee Smolin [Refs. 2 and 3], and all of his colleagues, have completely missed a fourth road to quantum gravity, from Erwin Schrödinger,

http://www.god-does-not-play-dice.net/#NB

Please feel free to pass this email to 'whomever it may be concerned'. The direct link:

http://www.god-does-not-play-dice.net/#Buchanan

Kindest regards,

Dimi Chakalov
35 Sutherland St
London SW1V 4JU, U.K.

----

[Ref. 1] Mark Buchanan (April 1, 2009), In search of the black swans
http://physicsworld.com/cws/article/indepth/38468

"In 1890 an electricity company enticed the German physicist Max Planck to help it in its efforts to make more efficient light bulbs. Planck, as a theorist, naturally started with the fundamentals and soon became enmeshed in the thorny problem of explaining the spectrum of black-body radiation, which he eventually did by introducing the idea — a “purely formal” assumption, as he then considered it — that electromagnetic energy can only be emitted or absorbed in discrete quanta. The rest is history. Electric light bulbs and mathematical necessity led Planck to discover quantum theory and to kick start the most significant scientific revolution of the 20th century.
....
"... it is not the normal events, the mundane and expected “white swans” that matter the most, but the outliers, the completely unexpected “black swans”. In the context of history, think 11 September 2001 or the invention of the Web."


[Ref. 2] Lee Smolin, (June 2, 2009), The unique universe
http://physicsworld.com/cws/article/indepth/39306

"Time in the Newtonian schema is a parameter used to label points on a trajectory describing the system evolving in configuration space. When the system is small and isolated, this time parameter refers to the reading of a clock on the wall of the observer’s laboratory, which is not a property of the system. When we try to apply this notion to the universe as a whole, the time parameter must disappear (see John Baez - D.C.). Some have attempted to argue that this means that time itself does not exist at a cosmological scale, but that is the wrong conclusion. What disappears is not time, but the clock outside of the system -- which would be an absurd object since the system is the whole universe."


[Ref. 3] Lee Smolin, Three Roads to Quantum Gravity, Phoenix, 2000;
Ch. 14, What chooses the laws of nature?,

p. 205: "One of the biggest mysteries is that we live in a world in which it is possible to look around, and see as far as we like."

p. 206: "God is nothing but the power of the universe as a whole to organize itself."

----------

Note: Nothing from the text above is original. The legacy of Erwin Schrödinger and Henry Margenau is anything but some unpredictable "black swan". For comparison, if someone has been offering the guiding principles for HTTP protocol to the people at CERN, but they were refusing to develop it, the invention of the Web [Ref. 1] would have never happened.

One can only hope that the upcoming sixth consecutive failure of LSC to detect GWs with the "Enhanced LIGO" will shake up the established theoretical physics community. If not, we will have to wait for the seventh consecutive failure of LSC in 2015, with their "Advanced LIGO".

What a terrible waste of time. And money.

Does anyone care?

D. Chakalov
November 16, 2009

 

==========================

Subject: Re: Tue 24 Nov 13:30pm - 14:30pm
Date: Tue, 24 Nov 2009 20:06:09 +0000
From: Dimi Chakalov <dchakalov@gmail.com>
To: Jonathan Halliwell <j.halliwell@ic.ac.uk>
Cc: Roland Omnes <roomnes@wanadoo.fr>,
Amihay Hanany <a.hanany@imperial.ac.uk>,
Helen Fay Dowker <f.dowker@imperial.ac.uk>,
Chris Isham <c.isham@imperial.ac.uk>

Dear Jonathan,

It was a pleasure to attend your talk.

I'm also glad you quoted Roland's monograph, "The Interpretation of Quantum Mechanics", in which he demonstrated that by introducing the decoherence functional you're automatically confined to Boolean logic -- a clear indication for Murphy's Law No. 15, "Complex problems have simple, easy-to-understand wrong answers."

Since you mentioned in your talk the case depicted on Fig 1 from your arXiv:0909.2597v1 [gr-qc], I wonder whether you would, in such kind of "space", be able to look around and see as far as you like (Lee Smolin, "Three Roads to Quantum Gravity", Phoenix, 2000, p. 205). The test of the pudding, you know.

Fay: I'm glad you chose (synchronicity?) to sit next to me. If some day you decide to talk about the topology of space (with or without its "dark energy"), please drop me a line. I'll be delighted to attend.

Lastly, may I use this opportunity to invite all of you to join the new research program outlined at

http://www.god-does-not-play-dice.net/#NB

I believe it strictly follows Chris Isham's program, Type IV (arXiv:gr-qc/9310031v1).

If you have questions, please do write me back.

Wishing you all the best,

Dimi
--------
Dimi Chakalov
35 Sutherland St
SW1V 4JU

==========================

Subject: Re: Tue 24 Nov 13:30pm - 14:30pm
Date: Thu, 26 Nov 2009 21:38:33 +0000
From: Dimi Chakalov <dchakalov@gmail.com>
To: J M Yearsley <james.yearsley03@imperial.ac.uk>
Cc: Roland Omnes <roomnes@wanadoo.fr>,
Amihay Hanany <a.hanany@imperial.ac.uk>,
Helen Fay Dowker <f.dowker@imperial.ac.uk>,
Chris Isham <c.isham@imperial.ac.uk>,
Jonathan Halliwell <j.halliwell@ic.ac.uk>

Dear Dr. Yearsley,

I attended Jonathan's talk, and a few hours later emailed him a proposal to verify the Decoherent Histories (DH) hypothesis [Ref. 1]; please see 'the proof of the pudding' at

http://www.god-does-not-play-dice.net/#Halliwell

Suppose you have a clear night sky, and fix your eyes, for 1 min, on a star that is/was 4M light years away. The star looks the same during the whole time of 1 min, and is always at the place you see it.

Now, if the spacetime were governed by DH hypothesis [Ref. 1], what kind of irregularities MUST have been imposed on photon's pathway? I suppose you can perform the calculations and find it out for yourself.

Please feel free to join the research project outlined at

http://www.god-does-not-play-dice.net/#NB

Kindest regards,

Dimi Chakalov
35 Sutherland St
SW1V 4JU
---

[Ref. 1] J.J. Halliwell, The Interpretation of Quantum Cosmology and the Problem of Time, http://arxiv.org/abs/gr-qc/0208018

"Central to both the classical and quantum problems is the notion of an entire trajectory. At the classical level it appears to be the appropriate reparametrization-invariant notion for the construction of interesting probabilities. At the quantum level, the decoherent histories approach appears to handle the problem in a natural way, perhaps because it readily incorporates the notion of trajectory."
-----------

D. Giulini and C. Kiefer, The Canonical Approach to Quantum Gravity,
http://arxiv.org/abs/gr-qc/0611141

"What about the semiclassical approximation and the recovery of an appropriate external time parameter in some limit? (...) The discussion is also connected to the question: Where does the imaginary unit  i  in the (functional) Schrödinger equation come from? The full Wheeler-DeWitt equation is real, and one would thus also expect real solutions for [PSI]."
-----------

M. Bojowald, Canonical Relativity and the Dimensionality of the World,
http://arxiv.org/abs/0807.4874

"If the theory does not allow us, even in principle, to extend solutions arbitrarily far in one direction, it may be difficult to view this direction as a dimension of the world."

 

==========================

Subject: "Einstein gravity is an emergent phenomenon" (Harvey R. Brown, arXiv:0911.4440v1 [gr-qc], pp. 8-9)
Date: Mon, 30 Nov 2009 16:45:01 +0200
From: Dimi Chakalov <dchakalov@gmail.com>
To: Harvey R Brown <harvey.brown@philosophy.ox.ac.uk>
Cc: Norbert Straumann <norbert.straumann@gmail.com>,
Domenico Giulini <domenico.giulini@itp.uni-hannover.de>,
Oliver Pooley <oliver.pooley@philosophy.ox.ac.uk>,
J Brian Pitts <jpitts@nd.edu>,
Jose Natario <jnatar@math.ist.utl.pt>,
Timothy Adamo <tim.adamo@gmail.com>,
Stanley Deser <deser@brandeis.edu>,
Jacob D Bekenstein <bekenste@vms.huji.ac.il>,
Hans C Ohanian <hohanian@einsteinsmistakes.com>,
Igor Novikov <novikov@tac.dk>,
Dmitri Novikov <d.novikov@imperial.ac.uk>,
Tatyana Shestakova <shestakova@sfedu.ru>,
Natalia Kiriushcheva <nkiriush@uwo.ca>,
S V Kuzmin <skuzmin@uwo.ca>,
Kirill Krasnov <kirill.krasnov@nottingham.ac.uk>


Dear Dr. Brown,

I fully endorse your statement, for reasons explained at

http://www.god-does-not-play-dice.net/#GR

Please notice that the source of DDE (see ‘GR with DDE’ at the link above) is assumed to play the role of ‘reference fluid’ and Anderson's ‘absolute structures’ (James L. Anderson, Principles of Relativity Physics, Academic Press, New York, 1967, p. 73). The latter (i) do not obey the ‘generalized principle of action and reaction’ (ibid., p. 339), and (ii) can be revealed in Quantum Theory as ‘potential reality’,

http://www.god-does-not-play-dice.net/#NB

It seems to me that all the pieces of the jigsaw puzzle of quantum gravity snap to their places -- effortlessly.

Should you or any of your colleagues disagree, please bark back. The "curious incident" with my web site is that nobody is willing to comment on these very simple (and certainly not original) ideas.

Kindest regards,

Dimi Chakalov
--------
"Is there any other point to which you would wish to draw my attention?"
"To the curious incident of the dog in the night-time."
"The dog did nothing in the night-time."
"That was the curious incident."

Sherlock Holmes, "The Adventure of Silver Blazes"

 

=============================

Subject: A New Scenario, by Sergio Doplicher
Date: Tue, 1 Dec 2009 14:23:42 +0200
From: Dimi Chakalov <dchakalov@gmail.com>
To: Sergio Doplicher <dopliche@mat.uniroma1.it>
Cc: Luciano Maiani <luciano.maiani@roma1.infn.it>,
Ray Streater <raymond.streater@kcl.ac.uk>,
Owen Maroney <o.maroney.physics@gmail.com>,
Bogdan Damski <bogdan.damski@gmail.com>,
Haitao Quan <quan@lanl.gov>,
Wojciech Hubert Zurek <whzurek@gmail.com>


Dear Professor Doplicher,

I have deep respect and admiration for your perfectionism and scrupulous intellectual honesty.

Regarding your Scenario (arXiv:0911.5136v1 [math-ph], pp. 29-30; arXiv:hep-th/0608124v1, p. 7), and the puzzle identified by Lee Smolin,

http://www.god-does-not-play-dice.net/#Buchanan3

please notice my proposal at

http://www.god-does-not-play-dice.net/#Brown

I will appreciate your critical opinion, as well as the feedback from your colleagues.

May I ask a question. I noticed that you'll teach QM,
http://www.mat.uniroma1.it/mat_cms/pres_corso.php?corso_da_presentare=1259

Would you discuss my interpretation of QM with your students?

I believe kids have the right to know everything we know. If you consider Nevill Mott's paper (arXiv:0911.5136v1 [math-ph], p. 18) and the alleged "time-dependent decoherence factor" (W.H. Zurek et al., arXiv:0911.5729v1 [quant-ph]), I believe your students will grasp the ultimate puzzle of our good old asymptotically flat spacetime, and will never waste their life with chasing ghosts.

Kindest regards,

Dimi Chakalov
------

Note: Contrary to what you may hear from Jonathan Halliwell, it is impossible to explain the trace of a charged particle in a bubble chamber, after Nevill Mott (see S. Doplicher, p. 18), with the current QM and GR textbooks. The problems from QM (A. Teta, arXiv:0905.1467v1, "possible histories", pp. 12-14) are swept under the carpet. Moreover, the problems from 'GR without DDE' are overwhelming. One is that we can't explain 'the energy-momentum density of generic background quantum states' (see below): "points become fuzzy and locality looses any precise meaning" (S. Doplicher, p. 21). More puzzles from M. Consoli and E. Costanzo, arXiv:0709.4101, Sec. 3: Is the vacuum a preferred frame? Could be. But if we model the vacuum as 'potential reality', there is no way to observe motion with respect to it: the usual expression from 1930s -- "the only Lorentz-invariant tensor" (ibid., Eq 13); see also G. Marsh, arXiv:0711.0220v2, Eq 2 -- does not apply to 'potential reality'. The latter is needed to explain 'GR with DDE'.

In the textbook version of 'GR without DDE', the 'coordinate time' read by your wristwatch, and the very notion of 'energy conservation' during some interval from that 'coordinate time', cannot be rigorously defined. The tacit presumption is that 'space' itself does not "move" anywhere, simply because there is no "outer space" in which our 3-D space could "expand into". But only the second part from this tacit presumption is correct, since our 3-D space can indeed "move" or rather "emerge" (C. Isham, gr-qc/9310031, Option IV): the intrinsic dynamics of space -- here we enter 'GR with DDE' -- can only be defined with respect to a hypothetical global mode of spacetime, which is hidden  ]between[  the "points" of the local mode of spacetime. The latter stands as a genuine perfect continuum (the "dark gaps" from the global mode are hidden by the so-called 'speed of light'), and has been studied in STR and in 'GR without DDE'.

If we wish to think as proper relativists, this is the only choice we may have: see my email to Harvey R Brown above. Many people hate it and spit insults on me; other just keep quiet, but nobody has so far offered any viable alternative.

But is there any alternative to 'the arrow of spacetime'?

Back in 1772, on the occasion of the fall of meteorites, the French Academy of Sciences adopted a resolution categorically rejecting such ridiculous phenomena. The obvious reason had been that rocks cannot fall from the sky, simply because there are no rocks there. Likewise, when you look at the sky, you will never think that the space itself could possibly "move", in any way whatsoever. But once the "dark energy" from 'empty space' was confirmed, the intrinsic dynamics of 3-D space, hence 'GR with DDE', are unavoidable. Your good old wristwatch does read the dynamics of "dark energy" along the arrow of spacetime.

E sarà mia colpa se così è? (Niccolò Machiavelli)

D.C.
December 1, 2009
Last update: December 7, 2009

Sergio Doplicher, The Principle of Locality. Effectiveness, fate and challenges. arXiv:0911.5136v1 [math-ph]

p. 18: "The coherence between the different outcomes, in principle still accessible with the measurement of the nearly vanishing interference terms (vanishing exactly only in the limit N --> [inf]), will be totally unaccessible in practice as soon as N is sufficiently large, as the number of molecules in a bubble from the trace of a charged particle in a bubble chamber."
...
pp. 19-20: "The conventional picture of the measurement process in Quantum Mechanics, as an instantaneous jump from a pure state to a mixture, which affects the state all over space at a fixed time in a preferred Lorentz frame, appears, in the scenario we outlined, as the result of several limits:

"1. the time duration T of the interaction giving rise to the measurement (which, in an exact mathematical treatment, would involve the whole interval from minus infinity to plus infinity, as all scattering processes) is set equal to zero;

"2. the number of microconstituents of the amplifying part of the measurement apparatus is set equal to infinity, thus allowing exact decoherence;

"3. the volume involved by the measurement apparatus in its interaction with the system (thus occupied by the microscopic part of the apparatus) tends to the whole space, allowing the reduction of wave packets to take place everywhere;

"In the conventional picture, some form of nonlocality is unavoidable, albeit insufficient for transmission of perturbations (hence not contradicting local commutativity) or even of information [58]: for a given observer, a coherent superposition of two possibilities might be changed, instantaneously in some preferred Lorentz frame, to a state where only one possibility survives, by the measurement performed by another observer in a very far spacelike separated region.
...
p. 21: "Thus points become fuzzy and locality looses any precise meaning. We believe it should be replaced at the Planck scale by an equally sharp and compelling principle, yet unknown, which reduces to locality at larger distances.
...

p. 27: "But locality is lost. There is no meaning to "E1 and E2 are spacelike separated", unless we pick a point _o_ in E, and limit ourselves to a special wedge W associated to _o_ and its spacelike complement -W. In this special case locality survives for free fields, but is bound to be destroyed by interactions on QST.

"That remnant of locality has been exploited to construct deformations of local nets for which the two particle S matrix is notrivial [70, 71], at the price of loosing locality in terms of fields localised in bounded regions. The various formulation of interaction between fields, all equivalent on ordinary Minkowski space, provide inequivalent approaches on QST; but all of them, sooner or later, meet problems with Lorentz covariance, apparently due to the nontrivial action of the Lorentz group on the centre of the algebra of Quantum Spacetime.

"On this point in our opinion a deeper understanding is needed.
...

p. 29: "The common feature of all approaches is that, due to the quantum nature of spacetime at the Planck scale, locality is broken, even at the level of free fields, and more dramatically by interactions. Which, as far as our present knowledge go, lead to a breakdown of Lorentz invariance as well.
...

"One might expect that a complete theory ought to be covariant under general coordinate transformations as well. This principle, however, is grounded on the conceptual experiment of the falling lift, which, in the classical theory, can be thought of as occupying an infinitesimal neighborhood of a point. In a quantum theory the size of a "laboratory" must be large compared with the Planck length, and this might pose limitations on general covariance. One might argue that such limitations ought to be taken care of by the quantum nature of Spacetime at the Planck scale.
...

"But the energy distribution in a generic quantum state will affect the Spacetime Uncertainty Relations, suggesting that the commutator between the coordinates ought to depend in turn on the metric field. This scenario could be related to the large scale thermal equilibrium of the cosmic microwave background, and to the non vanishing of the Cosmological Constant [79, 80].

p. 30: "This might well be the clue to restore Lorentz covariance in the interactions between fields on Quantum Spacetime."
-------------

ref. [80]: Sergio Doplicher, Quantum Field Theory on Quantum Spacetime, arXiv:hep-th/0608124v1.

p. 7: "A New Scenario. The Principle of Gravitational Stability ought to be fully used in the very derivation of Space Time Uncertainty Relations, which would then depend also on the energy-momentum density of generic background quantum states; this leads to commutation relations between Spacetime coordinates depending in principle on the metric tensor, and hence, through the gravitational coupling, on the interacting fields themselves. Thus the commutation relations between Spacetime coordinates would appear as part of the equations of motions along with Einstein and matter field Equations.

"In other words we may expect that, while Classical General Relativity taught us that Geometry is dynamics, Quantum Gravity might show that also Algebra is dynamics.

"This new scenario [12] appears extremely difficult to formalise and implement, but promises most interesting developments."
---------------

 

===========================

Subject: The Hamiltonian formulation of GR is wrong.
Date: Tue, 26 Jan 2010 17:28:31 +0200
From: Dimi Chakalov <dchakalov@gmail.com>
To: Hanno Sahlmann <sahlmann@particle.uni-karlsruhe.de>,
Jacob D Bekenstein <bekenste@vms.huji.ac.il>,
Mordehai Milgrom <moti.milgrom@weizmann.ac.il>,
J M Pons <pons@ecm.ub.es>,
D C Salisbury <dsalisbury@austincollege.edu>,
K A Sundermeyer <ksun@gmx.de>,
George F R Ellis <George.Ellis@uct.ac.za>

Dear colleagues,

If we accept the challenge of "dark energy" and "dark matter", I believe it will be wrong to use the Hamiltonian formulation of GR. It is not possible to quantize Einstein gravity in four dimensions either (Hanno Sahlmann, arXiv:1001.4188v1 [gr-qc]).

The problem is that we need to unravel a new degree of freedom pertaining to the NEW dynamics of spacetime: see R. Rakhi & K. Indulekha and S. Carroll, "more space comes into existence",

http://www.god-does-not-play-dice.net/#GR

http://www.god-does-not-play-dice.net/#Brown

Only people like George F R Ellis would ignore these bold facts.

Should you have questions, please don't hesitate to write me back.

Yours sincerely,

Dimi Chakalov
----

Note 1: I really cannot understand why people believe that the source of "dark energy" should necessarily have positive energy density ("Treated as a fluid, this component has negative pressure (assuming positive energy density), ... "
T. Padmanabhan), and be "invariant under Lorentz transformations" (E. Santos).

In the model presented here, these two self-imposed presumptions are dropped, and the source of "dark energy" is non-existent in the local mode of spacetime. None. Zero. Zilch. You can safely set it to zero, just as you usually treat the vacuum energy density in QFT.

Yet the source of "dark energy" can take any value in the global mode, depending on the particular cosmological stage of the universe, because  T  (the energy momentum stress tensor of all matter and fields other than gravity, with positive energy density) can completely vanish/dissolve into the vacuum, and stay available there for any partial, full, or "over unity" recall, if needed.

How? Because it is potential reality. Only people like George Ellis cannot grasp it.

All we can physically observe is that 3-D space is acting upon itself. We cannot trace back this 'energy from empty space', which is why some people called it "dark". In the same vein, the human mind would be considered "dark", because all we can observe is that the brain is being acting 'upon itself', by thinking about the brain, with the brain.

Gerard 't Hooft had a brilliant guess about the negative energy states, but his Ph.D. student Stefan Nobbenhuis ruined it, upon his guidance, by assuming that "there is no coupling other than gravitational (emphasis added - D.C.) between the normal matter fields and their ghost counterparts, otherwise the Minkowski vacuum would not be stable" (arXiv:gr-qc/0411093v3, p. 10). But the quantum vacuum can be stable without any gravitational coupling whatsoever, because gravity applies only to the explicated/physical form of reality, while the absolute value of energy stored in the vacuum is potential reality.

The misleading adjective "dark" (Mike Turner) comes from treating the potential vacuum reality as 'physically real'. In the case of John Wheeler's 'cloud', only this last explicated physical reality will be subject to gravitational interactions, like the explicated Casimir energy. The 'cloud' has been explicated by an emerging context, while in the case of the "dark" energy from the quantum vacuum we encounter an emerging boundary: the energy here is not "boundary sensitive". It is 'the whole universe as ONE' (global mode of spacetime) that fixes the "boundary terms", so that we can only see a "cloud" with strictly positive mass. Surely the explicated "cloud" changes along the cosmological time arrow, but its "dark" driving force cannot be unraveled from the fleeting "cloud" (denoted with  a  in [Ref. 1]), just as we cannot unravel the UNdecidable Kochen-Specker quantum state from its colorizable projections. This is the legacy of Schrödinger and Margenau (see below), which I was hoping to explain on November 27, 2002.

Notice that in GR you inevitably need to introduce some additional structure [Ref. 2] compensating for the absence of the global mode of spacetime. To understand the origin of these of additional structures, recall the prerequisites that necessitate 'time' regarded as 'change': we need two different and distinguishable states of a physical system, and some background w.r.t.w. the difference between the two states can be identified. In STR, the task looks quite easy: take two consecutive, instantaneous, point-like states of a Frisbee along its continuous trajectory, defined w.r.t. the fixed background of Minkowski space, and you're done. In 'GR without DDE', the background is the 3-D space itself, which is allowed to change its "curvature" only, following the bi-directional "talk" between matter and space: "Space acts on matter, telling it how to move. In turn, matter reacts back on space, telling it how to curve" (John Wheeler). But because of the Equivalence Principle adopted in GR, gravity must be able to vanish completely "inside" an infinitesimal "point", hence there is no localizable point-like gravitational energy density in such "point" and across its infinitesimally small neighborhood, to compute derivatives (Bjoern Schmekel). Hence the notion of 'time', conceived as 'change' from point-like state A to point-like state B (defined w.r.t. a background of 3-D space), becomes terribly complicated because of its dual, non-linear duties: "the metric is treated as a field which not only affects, but also is (at the same time - D.C.) affected by, the other fields" (John Baez). Notice the notion suggested by Viktor Denisov and Anatol Logunov: 'physicogeometric dualism'.

Under these circumstances, people need to introduce some additional structures to define some "boundaries" of the whole spacetime; for example, some "fall-off conditions of the curvature in appropriate coordinate systems at infinity" [Ref. 2], because, in the case of the Einstein equations alone, "there are no physically motivated boundary conditions" (Alan Rendall). But notice that the background of 3-D space is still always there, in the sense that in 'GR without DDE' the space itself doesn't "move" (Robert Geroch). But once we endow the space itself with an additional degree of freedom, as in 'GR with DDE', it acquires new dynamics (arrow of spacetime), and those 'additional structures' that were introduced by hand [Ref. 2] should be derived from the "dark" ("no observable content", Domenico Giulini) global mode of spacetime.

Don't try to bridge the two "mirror" worlds (introduced by symmetries or quasi-symmetries [Ref. 2]) with any physical stuff whatsoever. Don't try to explain the self-acting faculty of 3-D space with the physical, "colorizable projections" that can only show up with positive energy density. You will be baffled by the driving force of the cosmological time arrow [Ref. 1] and the cosmological "constant" problems forever (cf. Amedeo Balbi), or at least until you quietly retire.
 

D.C.
January 27, 2010
Last update: February 2, 2010

[Ref. 1] T. Padmanabhan, Why Does the Universe Expand? arXiv:1001.3380v1 [gr-qc]

 

[Ref. 2] J. L. Jaramillo, E. Gourgoulhon, Mass and Angular Momentum in General Relativity, arXiv:1001.5429v1 [gr-qc]. To appear as proceedings in the book "Mass and Motion in General Relativity", eds. L. Blanchet, A. Spallicci and B. Whiting

p. 6: "Once the non-local nature of the gravitational energy-momentum and angular momentum is realised, the conceptual challenge is translated into the manner of determining the appropriate physical parameters associated with the gravitational field in an extended region of spacetime. An unambiguous answer has been given in the case of the total mass of an isolated system. However, the situation is much less clear in the case of extended but finite spacetime domains.

"In a broad sense, existing attempts either enforce some additional structure that restricts the study to an appropriate subset of the solution space of General Relativity, or alternatively they look for a genuinely geometric characterisation aiming at fulfilling some expected physical requirements. In this article we present an overview of some of the relevant existing attempts and illustrate the kind of additional structures they involve.
...
pp. 9-10: "The characterisation of an isolated system in General Relativity aims at capturing the idea that spacetime becomes flat when we move sufficiently far from the system, so that spacetime approaches that of Minkowski. However, the very notion of far away becomes problematic due to the absence of an a priori background spacetime. In addition, we must consider different kinds of infinities, since we can move away from the system in space-like and also in null directions. Different strategies exist in the literature for the formalization of this asymptotic flatness idea, and not all of them are mathematically equivalent. Traditional approaches attempt to specify the adequate fall-off conditions of the curvature in appropriate coordinate systems at infinity. (...) The whole picture is inspired in the structure of the conformal compactification of Minkowski spacetime.
...
pp. 35-36: "But it must be acknowledged (...) that the status of the quasi-local mass studies is in a kind of post-modern situation in which the devoted intensive efforts have resulted in a plethora of proposals with no obvious definitive and entirely satisfying candidate.
...
"The moral of the whole discussion in this article is that the formulation of meaningful global or quasi-local mass and angular momentum notions in General Relativity always needs the introduction of some additional structure in the form of symmetries, quasi-symmetries or some other background structure."
----------



Note 2: Recently, J. M. Pons, D. Salisbury, and K. Sundermeyer (PSS) tried to solve the paradoxes of “frozen time” and “nothing happens” (arXiv:1001.2726v1 [gr-qc]), stressing the difference b/w the gauge generator and the Hamiltonian (p. 5):

"These gauge transformations define equivalence classes within S, which we call gauge orbits. A gauge orbit represents a unique physical state (footnote 5), and its different points correspond to different coordinatizations.
--
Footnote 5: "Note that this state is the whole spacetime."

"... in the space of on-shell field configurations the gauge generator moves from one point p to another p', whereas the Hamiltonian works within every point p, which already represents an entire spacetime (emphasis added - D.C.)."

In another paper (arXiv:0902.0401v1 [gr-qc], p. 4), PSS illustrated their ideas with a "spatially homogeneous isotropic cosmological model", and acknowledged that "this model possesses the curious property that the only physical variable that changes in time is time itself!" (emphasis added - D.C.).

Which makes this "time" unobservable, or rather 'observable only with respect to itself'. Pity PSS didn't ask Karel Kuchar to comment on their speculations, nor mentioned the new dynamics of 3-D space due to its "dark" energy acting on the whole spacetime en bloc.

When will the Hamiltonian formulation of GR address this task? When pigs fly.

D.C.
January 31, 2010
 

===========================

Subject: The schizophrenic behavior of gravity (SBG)
Date: Tue, 9 Feb 2010 05:16:20 +0200
From: Dimi Chakalov <dchakalov@gmail.com>
To: Nikolai Mitskievich <nmitskie@gmail.com>
Cc: kip@tapir.caltech.edu, weinberg@physics.utexas.edu, LSC Spokesperson <reitze@phys.ufl.edu>, Beverly Berger <bberger@nsf.gov>, Tom Carruthers <tcarruth@nsf.gov>, Denise S Henry <dshenry@nsf.gov>, Ramona Winkelbauer <rwinkelb@nsf.gov>, GW_comp@olegacy.gsfc.nasa.gov


Dear Dr. Mitskievich,

I think you shouldn't regret that you missed the chance to educate Kip Thorne [Ref. 1] about the inevitable failure of his LIGO project and the whole "GW astronomy". Arguments similar to yours have been spelled out by Steven Weinberg seven years ago (25 Feb 2003), after which he added: "I often find that people who say silly things actually do correct calculations, but are careless in what they say about them."

Not just Kip Thorne, but the whole LIGO Scientific Collaboration (LSC) are saying silly things, but because they use the linearized approximation of GR, they do "correct calculations".

However, if you use the same linearized approximation of GR, you can prove "GW astronomy" wrong by reductio ad absurdum:

http://www.god-does-not-play-dice.net/Szabados.html#SBG

Either way, with GR or with its linearized approximation, LIGO is for the birds.

Trouble is, some people from NSF continue to dump hundreds of million U.S. dollars -- all taxpayers' money -- into this GW nonsense.

Typical for a socialist country.

Yours sincerely,

Dimi Chakalov

--------

[Ref. 1] Nikolai V. Mitskievich, On a new category of physical effects, arXiv:1002.1421v1, http://arxiv.org/abs/1002.1421

"The gravitational deformation in general relativity does in fact belong to the kinematic effects, when it is described without the use of geodesic deviation equation. Thus, for example, the interferometric detection of gravitational waves cannot give a non-zero result, since the scales of all types of equally oriented lengths do change in gravitational fields in the same proportion, and the numbers of light wavelengths fitting along the alternative arms of interferometer cannot suffer changes in a passing gravitational wave.

"I am regretful not to tell these considerations to Kip S. Thorne more than two decades ago, simply because of a kind of awkward modesty."
-----

Note: See what happens if you don't tell your students everything you know.

Example: Jim Hartle. Recently, a young theoretical physicist, Gareth Jones, defended his Ph.D. Thesis on "Searching for gravitational waves... ". He looked at Ch. 23 from Jim Hartle's textbook, "Gravity, an introduction to Einstein's General Relativity", to eventually understand the dimensionless GW amplitude (Eq. 1.64, p. 15) that would "cause a periodic strain (i.e., stretching and contraction) of the proper distance between points (Sic! - D.C.) in spacetime" (ibid., p. 182).

But you can't hide the dimensionality of GW amplitude in 3-D space: check out SBG here. In order to prove LSC (at least 679 people) wrong, all you need is to drive the "background" in the linearized approximation of GR to its absurdity, as with the SBG argument. Not sure?

Please explain the dimensionality of GW amplitude (h) in Kip's mantra:

Something with [meter] maybe? Or some "creative analogies" from EM radiation?

If you look at Wiki, GW amplitude "is not the quantity which would be analogous to what is usually called the amplitude of an electromagnetic wave (...)."

The alleged GW has frequency, wavelength, and speed -- all defined with proper dimensionality. Only the action of geometry on matter, embodied in the mantra above, is a dimensionless ghost that shows up only with ... "2.3×10^-26" , say.

How can Gareth Jones change his Ph.D. brain, to think as a physicist? Surely the entity that fixes a 'meter' cannot itself be defined with what it produces -- a 'meter'. Can he notice the intrinsic parapsychology of statements like "our best (lowest) upper limit on gravitational wave amplitude is 2.3×10^-26" ?

I think Jim Hartle (along with Bernie Schutz) should be blamed for Gareth Jones' professional career. It may be wasted by chasing ghosts with real, taxpayers' money.

In my opinion, the "dimensionality" of GW amplitude is just like that of quantum waves. And just like the de Broglie waves (cf. Franco Selleri above), in present-day GR these GWs cannot show up either, simply because they cannot transport energy-momentum to any physical system in the spacetime of GR textbooks.

Neither quantum waves (recall the quantum vacuum) nor gravitational waves are "empty" by themselves. Pity nobody cares.
 

D.C.
February 10, 2010
Last update: March 17, 2010


============================

Subject: Re: The schizophrenic behavior of gravity (SBG)
Date: Tue, 2 Mar 2010 04:55:21 +0200
Message-ID:
<bed37361003011855j1eb9c7f1rca2fa10ef89ac6c1@mail.gmail.com>
From: Dimi Chakalov <dchakalov@gmail.com>
To: kip@tapir.caltech.edu, weinberg@physics.utexas.edu,
marx_j@ligo.caltech.edu, bberger@nsf.gov, tcarruth@nsf.gov,
dshenry@nsf.gov, rwinkelb@nsf.gov, GW_comp@olegacy.gsfc.nasa.gov,
takahasi@th.nao.ac.jp, matthew@astro.gla.ac.uk,
gareth.jones@astro.cf.ac.uk, Curt.J.Cutler@jpl.nasa.gov,
vallis@vallis.org, sigg_d@ligo.caltech.edu, Holger.Pletsch@aei.mpg.de,
Bruce.Allen@aei.mpg.de, bernard.schutz@aei.mpg.de,
info@ligo.caltech.edu, LSC Spokesperson <reitze@phys.ufl.edu>,
IGUS Jim <hartle@physics.ucsb.edu>


P.S. Update at
http://www.god-does-not-play-dice.net/#Jones

D.C.
 

============================

Subject: arXiv:1002.1410v1 [quant-ph]
Date: Tue, 9 Feb 2010 05:57:41 +0200
From: Dimi Chakalov <dchakalov@gmail.com>
To: Ronnie Hermens <ronnie.hermens@gmail.com>
Cc: landsman@math.ru.nl, maassen@math.ru.nl

Dear Mr. Hermens,

It is a real pleasure to read your Thesis.

Just a brief comment. You wrote (p. 46): "The claim of Meyer that the Kochen-Specker Theorem has been nullified leads to the question what it is exactly that the Kochen-Specker Theorem states. A common notion is that the theorem states that (at any given time) not all observables can be assigned definite values that are independent of the measuring context."

Long before John Bell, Schrödinger explained the crux of the matter (November 1950),

http://www.god-does-not-play-dice.net/#NB

http://www.god-does-not-play-dice.net/Szabados.html#Hilbert

I suppose none of your senior colleagues have mentioned to you anything about my numerous email messages, with links to my web site. And that is not fair.

If I'm wrong about them, please write me back.

Kindest regards,

Dimi Chakalov
------

Note 1: All kids, Ronnie Hermens included, have the right to know everything we know. This doesn't mean that they should accept our opinions. But in order to make educated decision about their professional career, we should kindly offer them all our knowledge and opinions. Otherwise it's just not fair.

Ronnie, here's a story from Uncle Dimi. Suppose you're in a pitch dark room. You hold a torch in your hand, but want to "see" how the darkness itself looks like before you observe it with the torch. As you might have guessed, 'the darkness itself' stands for the 'UNdecidable quantum potential reality' that cannot be fitted into any Hilbert space whatsoever; more from Uncle John.

Obviously, your task is not feasible. With your torch, you can only "see" the classical presentations of 'the dark room', which have been "filtered" through the classical spacetime at the scale of tables and chairs. So, what do you do? You use some QM textbook recipes for calculating probabilities for observing the dark room with your torch. NOT the dark room itself. And if you "look" with Hilbert space with dimensions 2, you may never notice any problems with your torch observations, as you can always infer what sorts of objects should have been in the dark room, before you turned on the torch and brought them into the classical spacetime of tables and chairs (recall the "quantum computing" mess).

The real fun with QM starts when KS Theorem comes to play: your torch observations do not make sense. You cannot infer anymore what kinds of objects should have been in the dark room before you turned on the torch. (In the context of "quantum computing", quantum states both 'partly exist' as context-evoked latent observables and 'partly do not exist', being UNdecidable quantum state (never in plural) as well. It's an "eigentümlichen, klassisch nicht beschreibbaren" (W. Pauli), indivisible bundle of 'both ONE and many'. Capiche?)

The essential ONE-"part" from the objects in the dark room will always remain unaccounted for. You can say NOTHING about it. It is UNspeakable. You just can't fit it into any Hilbert space on which you make your torch observations. It is the ultimate quantum reality 'out there', which I simply call 'potential reality'.

You can say nothing about it, because any statement of yours refers exclusively to what you can "see" with your torch. This is my answer to your question "what it is exactly that the Kochen-Specker Theorem states", as you put it.

Your mentor, Nicolaas Landsman, has tried some toposification of quantum theory, but notice that this is just another torch. Chris Isham also plays with that topos torch. Other people try another, 'non-commutative spacetime torch'.

The math jungle is staggering. Don't go there, it's endless. How do I know?

Because there is only one way to solve both the measurement problem of QM and the cosmological "constant" problem. Both problems, en bloc. Just recall the basic tenet of Copenhagen [Ref. 1], and compare it with the interpretation of QM discussed here and the arrow of spacetime: the instantaneous state of Die Bahn (trajectory) of all physical objects, at all length scales, is nothing but the local mode of spacetime, as it evolves from "point" A to "point" B, following the expansion of space due to the "dark" energy of the vacuum.

Locally, Die Bahn [Ref. 1] is like a single flash or "point" with infinitesimal duration. The whole 'local mode of spacetime' is comprised of such already-correlated "points" with infinitesimal duration, all of which are explicated with a carpe diem unit probability, in line with the PR interpretation of QM. If you can imagine an instantaneous cross-section of the arrow of spacetime, the local mode will be a frozen flat 3-D space with total gravitational energy precisely zero (see above): the potential reality itself (the infinite "shop", see below) does not gravitate (cf. "yes you can"). Any of these 3-D "snapshots" constitutes a legitimate 'universe' by itself, but as the arrow of spacetime "moves" forward, we are led to consider a chain of such snapshots, and then it looks like the universe is somehow 'acting upon itself', because the "dark gaps" from the global mode are precisely sealed off, making the local mode a perfect continuum (notice the emergence of "waves" below). Of course we cannot locate the source of this "dark energy", call it  X , inside the very thing that is being produced by  X : the 3-D space of the local mode of spacetime. Which is why some (otherwise serious) people called it "dark", while other speculate about some mysterious "dark flow" and "axis of evil", as pictured here.

A few days ago, I tried to explain Die Bahn [Ref. 1] to my teenage daughter (she is the 'test bed' for my DVD video tutorials) as follows. Picture the quantum vacuum as an infinitely "large" cash-and-carry shop, from which you can get everything and anything (that caught her attention, as expected). You buy some stuff for your diet, but you can shop (i) only if you're "off the train", and (ii) only for your one-day meal. This 'one-day meal' is just one point from a perfectly legitimate universe --  the local mode of spacetime at the global instant 'now'.

Such "horizontal" cross-section of the arrow of spacetime takes only one sliding point 'now' from the ("vertical") arrow of spacetime. But because you inevitably chain your 'daily points' along a perfectly continuous trajectory (the "dark gaps" of the global mode of spacetime are completely sealed off due to 'the speed of light'), you get an emergent Bahn with 'potential future' and 'irreversible past', as it emerges due to the arrow of spacetime, while the infinite shop, with all its (latent) stuff that you did not buy, will always remain "dark".

Imagine also that every day you're buying more stuff: if some theoretical physicists compare only your daily meals during a week (they can't glance at the "dark gaps"), they will claim that you've been getting 'more stuff' throughout the whole week from some "dark source". (If they include the infinite shop in their calculations, they will inevitably face their cosmological "constant" paradox.)

Also, notice that all people in the universe are shopping from the same "dark shop": they shop for their 'one-day meal' to cook up their common 'local mode of spacetime', but have to do it relationally (there is no background whatsoever in the local mode of spacetime), and also in a pre-correlated (EPR-like) fashion, in line with the Bootstrap Rule 'think globally, act locally'. The result is a (quantum-gravitational) wave of pre-correlated 'one-day meals' that also emerges during Die Bahn. Nothing is "waving" to emit these waves. They just emerge. Capiche?

Okay, let me try it this way. Do you remember how we played Frisbee on the beach? That poor Frisbee was too large and heavy to take advantage of its potential UNdecidable KS states, and since it also managed to ignore the effects of gravity, we could imagine some fictitious "fixed grid" (Minkowski spacetime) on which we can draw its Bahn. Had the Frisbee been a quantum-gravitational object, it would have all its instantaneous one-point "meals" correlated (recall the two hands) with 'everything else in the universe' ("off the train", in the global mode of 'the Frisbee per se'). Then the real Frisbee would be flying like a fish from a correlated shoal of fish, only you can't see the rest of fish from the shoal, and therefore can't see its wave-like movement, like the waves of the correlated centipede's legs. Simple, no?

I didn't try to explain why LSC may only unravel the blueprints from relic GWs cast in the distant past, but cannot observe 'the emergent wave' online, as it evolves along the arrow of spacetime. That would have been too much for her.

Finally, notice that if you take the whole stack of "Photoshop layers" (all your 'one-day meals') and flatten them onto one (.JPG) image, you will end up with a timeless "trajectory" immersed in a dead frozen 4-D "block universe", in which "time" can evolve just as much as "space" can: "There is no dynamics within space-time itself: nothing ever moves therein; nothing happens; nothing changes" (R. Geroch). Our (mischievous) wristwatches do in fact read the global cosmological time of 'Die Bahn', but because you can only use a physical "torch", you are deceived by a flatten image of all 'one-day meals': in Fig. 1 below, there are three consecutive 'one-day meals' or "points" from Frisbee's trajectory, connected by the pre-geometric plenum, while Fig. 2 shows the stack of "Photoshop layers" consisting of three different, re-created 4-D universes in their local mode, as they evolve along Die Bahn (the red arrow of spacetime, w ). The quantum-and-gravitational waves "travel" along  w  (Fig. 2), which is why they cannot be detected on the flatten image (Fig. 1): regarding GWs, the linearized approximation of GR is a "shadow without power" (Hermann Weyl).

 

Fig. 1
Notice the misleading "dark" energy and "curvature" of spacetime
 

Fig. 2
Notice the three red 'one-day meals', or three 'sayings', being
connected by the pre-geometric plenum; its quantum version
is the UNdesidable KS state. In GR, the pre-geometric plenum
"connects" all points from the local mode of spacetime with
'the undivided universe as ONE', which is being multiplied as
infinitely many points in the local mode.
 

With the current GR and diff geometry textbooks, you can explore only one instant 'now' from the arrow of spacetime. Even if you try to introduce some "infinitesimal coordinates shift" [Ref. 2, Eq. 4.1], as in today's GR textbooks, you will nevertheless be dealing with a frozen one-instant "trajectory", and can never solve the Cauchy problem for the Einstein equations: the "dark background" of 'the reference fluid' of GR is missing from GR textbooks. You can use such 'calculated-from-one-instant trajectories' only in classical physics and STR (e.g., the trajectory of a Frisbee, calculated from some of its instantaneous states).

To resolve the genuine dynamics of GR, we need to make the 3-D space dynamical: the global cosmological time originates from the dynamics of space. First of all, we have to replace the familiar expression 'with respect to the rest of the Universe' [ibid., p. 263] with a Machian "absolute" reference frame, which works as 'the reference fluid' of GR -- the global mode of spacetime. Recall also the idea of "breathing" (inhaling/exhaling) Universe, and imagine the elementary step/cycle of the arrow of spacetime (cf. Fig 2 above) as the "negotiation" of the two hands in Escher's drawing below: an inhaling ("offer") quantum-gravitational wave is being emitted in the global mode of spacetime from each and every "point" from the local mode, followed by an exhaling ("confirmation") quantum-gravitational wave converging on the next point from the next horizontal layer.

What is the duration of this "breathing" cycle in the local mode of spacetime? ZERO. This is the meaning of the phrase 'Your Global Time is ZERO'. The local mode of spacetime is a perfect continuum. But that's too much for you, isn't it?

D.C.
February 10, 2010
Latest update: March 30, 2010

[Ref. 1] W. Heisenberg (23 March 1927): "Die Bahn entsteht erst dadurch, daß wir sie beobachten", in: Über den anschaulichen Inhalt der quantentheoretischen Kinematik und Mechanik, Z. Phys. 43, 172-198 (1927).

[Ref. 2] Patrick Marquet, The Generalized Warp Drive Concept in the EGR Theory, The Abraham Zelmanov Journal, vol. 2 (2009) 261-287.

http://zelmanov.ptep-online.com/html/zj-2009-12.html
http://zelmanov.ptep-online.com/papers/zj-2009-12.pdf

p. 263: "The principle of space travel while locally “at rest”, is analogous to galaxies receding away from each other at extreme velocities due to the expansion (and contraction) of the Universe.

"Instead of moving a spaceship from a planet A to a planet B, we modify the space between them. The spaceship can be carried along by a local spacetime “singular region” and is thus “surfing” through space with a given velocity with respect to the rest of the Universe.
........
§1.2.1, 'The (3+1) Formalism: the Arnowitt-Deser-Misner (ADM) technique'

p. 265: "In 1960, Arnowitt, Deser, and Misner [5] suggested a technique based on decomposing the space-time into a family of space-like hypersurfaces and parametrized by the value of an arbitrarily chosen time coordinate x⁴.

"This “foilation” displays a proper-time element dτ between two nearby (emphasis added - D.C.) hypersurfaces labelled x⁴ =const and x⁴ + dx⁴ = const. The proper-time element dτ must be proportional to dx⁴.
........
p. 267: "The main advantage of the ADM formalism is that the time derivative is isolated (emphasis added - D.C.) and it can be used in further specific computations.
........
p. 275: "This horizon first appears for the occupants of the spaceship, who are unable to “see” beyond the distortion, and therefore cannot communicate with the outer universe.
........
p. 280: "Let us consider the infinitesimal coordinates shift

x'^a = x^a + N^a,      (4.1)

 

=================================

Subject: The infinitesimal coordinates shift -- with respect to 'the rest of the Universe'
Date: Fri, 19 Mar 2010 14:31:11 +0200
From: Dimi Chakalov <dchakalov@gmail.com>
To: Patrick Marquet <patrick.marquet6@wanadoo.fr>
Cc: Larissa Borissova <borissova@ptep-online.com>,
Tatyana Shestakova <shestakova@phys.rsu.ru>,
Natalia Kiriushcheva <nkiriush@uwo.ca>,
Dmitri Rabounski <rabounski@gmail.com>,
Serge Krasnikov <gennady.krasnikov@pobox.spbu.ru>,
Michael Kuntzman <MichaelKuntzman@hotmail.com>,
Miguel Alcubierre <malcubi@nuclecu.unam.mx>,
Michael Pfenning <mitchel@cosmos2.phy.tufts.edu>,
Larry Ford <ford@cosmos.phy.tufts.edu>,
Allen Everett <everett@cosmos2.phy.tufts.edu>,
William A Hiscock <hiscock@physics.montana.edu>,
Chris Van Den Broeck <vdbroeck@nikhef.nl>,
Thomas A Roman <roman@ccsu.ctstateu.edu>,
Robert M Wald <rmwa@midway.uchicago.edu>,
Robert Geroch <geroch@midway.uchicago.edu>


Dear Professor Marquet,

I greatly admire your Extended formulation of GR (EGR), particularly the so-called “residual” (true) field tensor. Yet it seems to me that the infamous "infinitesimal coordinates shift" in ADM presentation, which you used in your latest article cited below, is seriously flawed, as hinted in the subject line.

As an alternative to ADM speculations, please see

http://www.god-does-not-play-dice.net/#Bahn

Details at

http://www.god-does-not-play-dice.net/#quiz

I will highly appreciate your professional comments, as well as the feedback from your colleagues.

Kindest regards,

Dimi Chakalov
------
Patrick Marquet, The Generalized Warp Drive Concept in the EGR Theory, The Abraham Zelmanov Journal, vol. 2 (2009) 261-287; cf. Eq. 4.1.
http://zelmanov.ptep-online.com/html/zj-2009-12.html
 

=================================

Subject: Re: PTI, by Ruth Kastner
Date: Fri, 5 Mar 2010 04:54:05 +0200
From: Dimi Chakalov <dchakalov@gmail.com>
To: Ruth <rkastner@umd.edu>, John <jcramer@uw.edu>
Cc: Adrian Kent <a.p.a.kent@damtp.cam.ac.uk>,
Joseph Berkovitz <dwyer@umbc.edu>,
Tim Maudlin <maudlin@rci.rutgers.edu>,
Huw Price <huw@mail.usyd.edu.au>,
Jeremy <jb56@cam.ac.uk>,
Sergiu Klainerman <seri@math.princeton.edu>,
Sergio Doplicher <dopliche@mat.uniroma1.it>

Dear Ruth,

You said (Feb 16th) that "will take a look" at my note on KS Theorem, yet in your latest arXiv:1001.2867v3 [quant-ph], co-authored with John Cramer, there is not even a hint to it.

Regarding the UNabsorbed offer wave, you and John argued (footnote 9) that "it is the uncommitted (to a particular basis) nature of the offer wave which gives it its flexibility and thus its ability to explore “all possibilities at once.” "

How would you (and John) tackle these 'all possibilities at once' if they pertain to the UNdecidable KS state? How can you, or anyone else, derive the Born Rule in the case of KS state?

Can you possibly derive *anything* resembling 'probabilities' in the case of KS state?

http://www.god-does-not-play-dice.net/#KS

I will appreciate the opinion of your colleagues as well.

All the best,

Dimi

On Tue, Feb 16, 2010 at 9:04 PM, <rkastner@umd.edu> wrote:
>
> Thanks Dimi! I will take a look.
>
> Best
> Ruth
>

=====================

Subject: Re: PTI, by Ruth Kastner
Date: Fri, 5 Mar 2010 14:43:10 +0200
From: Dimi Chakalov <dchakalov@gmail.com>
To: Ruth <rkastner@umd.edu>
Cc: John <jcramer@uw.edu>

On Fri, Mar 5, 2010 at 8:03 AM, <rkastner@umd.edu> wrote:
>
> OK, it's the Peres-Mermin version of KS.

Excuse me?

I wrote: "Nothing -- not even some "contextuality" -- can save Harry (or Dick, or Tom) from the case in which he (or Dick, or Tom) must not possess any hands."

And also: "NB: There is nothing "probabilistic" or "stochastic" in the quasi-local UNdecidable quantum state that neither 'is' nor 'is not'. Can't fit it in any Hilbert space."

> This is similar to the GHZ example, These are all "no hidden variables" proofs.

It isn't about "hidden variables" of any kind whatsoever. It is about how TI/PTI would address this KS state: please read my email from Fri, 5 Mar 2010 04:54:05 +0200.

> I certainly did read this when you first sent it to me, as I said that I did

Then please prove my interpretation wrong:

http://www.god-does-not-play-dice.net/#KS

John: Would you please help Ruth?

D.

-------------------------------

Subject: Footnote 15, arXiv:1107.1678v1 [quant-ph]
Date: Mon, 11 Jul 2011 13:01:31 +0300
Message-ID:
<CAM7EkxkHd9-O6WROr=xW02LX=dvHkVNpwfcSjZWM5Q5Gb3Br2w@mail.gmail.com>
From: Dimi Chakalov <dchakalov@gmail.com>
To: Ruth <rkastner@umd.edu>
Cc: Huw Price <huw@mail.usyd.edu.au>,
John <cramer@phys.washington.edu>,
Tim Maudlin <maudlin@rci.rutgers.edu>,
Abner Shimony <abner.shimony@gmail.com>,
Philip Pearle <ppearle@hamilton.edu>,
Peter Evans <peter.evans@sydney.edu.au>,
avshalom.elitzur@weizmann.ac.il


It won't work for GR, Ruth.

The "infinite" velocity of the "phase wave aspect" corresponds to the *global mode of time* in which the "talk" b/w matter and space "take place": "Space acts on matter, telling it how to move. In turn, matter reacts back on space, telling it how to curve" (John Wheeler),

http://www.god-does-not-play-dice.net/Esher.jpg

Physically, we observe a continuum of 'end results' (local mode of time) from this "talk"; details at

http://www.god-does-not-play-dice.net/#Evans

Check out the UNspeakable substance of spacetime with your own brain at

http://www.god-does-not-play-dice.net/#Leydesdorff_101

All the best,

Dimi

-----------------

Note: Nothing in the local mode of spacetime can (nor have to) wait  "... until the conserved quantities are transferred and the potential quantum event becomes real", as John Cramer put it.

We see only the end result from already-completed atemporal "handshaking" transactions, and of course we cannot trace it "back" to the global mode of spacetime -- all the negotiations between the offer-and-confirmation wave is one single event in the local mode of spacetime. In the local mode of spacetime, its "duration" is zero  -- just like the proper time of photon's flight "between" its emission-and-absorption; see Kevin Brown.

In the local mode of spacetime, all this "happens" over a "point". Which is why there is no "source" of the quantum-gravitational waves that is “waving”, as stressed by Anthony Zee.

The second case of fixing the physical constituents at this same "point" concerns GR: we need to examine the "negotiations" of matter and geometry, which also "take place" in the global mode of spacetime: "Space acts on matter, telling it how to move. In turn, matter reacts back on space, telling it how to curve" (John Wheeler).

In GR, the offer-and-confirmation wave pertains to the "dipole radiation", and as it "converges" on the next point from Die Bahn above, it fixes the positivity of mass in the local mode of spacetime. According to SRP, we can imagine "two" such waves only in the global mode, as they "run" in two opposite "directions: from the macro-world of classical mechanics toward  S  and  L  , and vice versa.

In my (perhaps very biased) opinion, these "two" (offer and confirmation) waves should determine the instantaneous inertial reaction "forces" as well. Currently, GR says nothing about the origin and mechanism of (Machian) inertial "forces".

Nobody likes "miracles" in GR, so I very much hope we can find 'the right answer to the right question', to paraphrase MTW, p. 467, and understand the origin of inertia and the affine structure of space.

Regarding the geodesic hypothesis, Alan Rendall acknowledged: "In elementary textbooks on general relativity we read that the Einstein equations imply that small bodies move on geodesics of the spacetime metric. It is very hard to make this into a mathematically precise statement which refers to actual solutions of the Einstein equations (and not just to some formal approximations)." Notice that Alan Rendall didn't even mention those 96% of the stuff in the universe, which is "dark" and moves on some weirdly modified geodesics.

 

Yes, Sidney Harris is right: the re-creation of the local mode of spacetime, along the arrow of spacetime, does look like a "miracle", perhaps because we know nothing about the so-called 'speed of light' that is hiding the global mode from any direct view from the local mode. All we can observe is 'the world of facts' with unit probability, which has already, post-factum being cast in the past, as in the example with the Sun: we cannot observe the actual state of the Sun, but only its state that has been 'actual' some 8 min before we looked at the Sun.

The local mode of spacetime is a perfect continuum, because the "dark gaps" from the global mode are completely sealed off by the so-called 'speed of light'. We also have a pocket of propensity-states (KS states; see below) to choose from, which cannot be fully derived from our past only -- this is the lesson from the Free Will Theorem. Sorry for repeating this all over again.

D.C.
March 5, 2010
Last update: March 30, 2010
 

====================================

Subject: Question 1 (existence): Does there exist any smoothness structure on *any* topological manifold?
Date: Tue, 30 Mar 2010 04:52:54 +0300
From: Dimi Chakalov <dchakalov@gmail.com>
To: Torsten Asselmeyer-Maluga <torsten.asselmeyer-maluga@dlr.de>
Cc: Carl H Brans <brans@loyno.edu>,
Helge Rose <rose@first.fhg.de>

Dear Dr. Asselmeyer-Maluga,

Regarding your latest arXiv:1003.5506v1 [gr-qc] and the footnote on p. 3 from your book with Dr. Brans, may I offer you my views on the subject at

http://www.god-does-not-play-dice.net/#Bahn

Should you or your colleagues have questions, please don't hesitate.

Kindest regards,

Dimi Chakalov
---

Note:  Let me quote from Robert Wald's arXiv:gr-qc/0511073, "Teaching General Relativity", p. 5 (emphasis added): "First, one needs a mathematically precise notion of the "set of points" that constitute spacetime (or that constitute a surface in ordinary geometry). The appropriate notion is that of a manifold, which is a set that (...) but has no metrical or other structure. The points of an n-dimensional manifold can thereby be labeled locally by coordinates ... ."

This last sentence is a total Jabberwocky. How did we get these "points" that can be "labeled locally by coordinates", such that we can, and also have to, shuffle these coordinates to extract some GR observables?

Contemporary relativists begin by postulating a Hausdorff topological space that has been somehow "connected", but usually mention this miracle in footnotes (e.g., Chris Isham, Modern Differential Geometry for Physicists, p. 61, footnote 1). They would denote this connected topological space with  M , and introduce a second postulate: a differential structure on  M , such that  M  is promoted to a four-dimensional manifold. Then the third step is obvious: introduce a metric, and they are ready to teach GR (cf. Diego Meschini et al., Sec. 2.1) and muse over the exotic differentiable structures and the puzzle posed by Carl Brans:
 

 

Perhaps one first needs a mathematically precise notion of the "set of points" that constitute a line (1-D Euclidean space), to elucidate how these "points" are connected in such way that the law of continuity, as defined in the standard calculus texts of the 1800's, is fully obeyed: the consecutive points of the same line should succeed each other without any interval or 'point in-between' them.

However, how should the topological space itself been "connected", in order to evolve into a perfectly smooth manifold? Specifically, does there exist any 'smoothness structure' on any topological manifold? I'm not aware of such beast in differential topology textbooks; hence my email above.

But here's the catch: on the one hand, the 'point-connecting agent' (called here pre-geometric plenum), which makes a Hausdorff topological space "connected", must not be anything that may, in any imaginable way, exist within the line made by "zero-dimensional" points. It can't be some "special middle point" or "special separating interval", because inside a line we have only points, and nothing but points. These points don't have any special hooks or handles that can determine the principle of locality and the so-called "speed" of light.

On the other hand, the pre-geometric plenum must somehow exist in order to "separate" the points and preserve their individual, albeit fleeting, physical content: "For example, \phi is a scalar field on the manifold and $X$ represents the space-time coordinate of a particle, then although \phi(x) has no physical meaning (if x is a point in the space-time manifold) nevertheless $\phi(X)$ *does* have a meaning: ie you can talk in a Diff(M)-invariant way about the value of a field where a particle 'is', and similarly for a trajectory" (Chris Isham, private communication).

The only way out from this conundrum is to use the new (to contemporary relativists) form of reality, as explained in the case of the human brain and the quantum world. The potential reality does not exist in the local mode (cf. Fig. 1), hence the latter is a perfect continuum -- the "gaps" are completely sealed off by the so-called speed of light, because the "duration" of the transition from one "point" to the nearest "point" is zero: check out Kevin Brown above.

All this may sound like some metaphysical exercise devoid of any mathematical implications, but recall that in mathematics you have to follow the obvious and intuitively clear metaphysical ideas, or else will sink in a jungle with no way out.

Not to mention the infinite amount of energy packed in the quantum vacuum.

Now, people from the mathematical community disagree with the arrow of space and pre-geometric plenum. They postulate some "smooth" structure (66 times), and adhere to the "splitting" of spacetime, just like ADM [Ref. 1, pp. 479-486].

But how would you “quantize” a Riemannian manifold [Ref. 1, p. 425] and gravitational "field" represented by Riemannian metric? How would you specify a Poisson structure of the "dynamical system", as driven by [we-do-not-know-it]?

 

D. Chakalov
March 30, 2010
Last update: August 4, 2010

[Ref. 1] Ralph H. Abraham and Jerrold E. Marsden, Foundations of Mechanics, Second Edition, Addison-Wesley, 6th printing, 1987. ISBN: 080530102X

p. 31: "The basic idea of a manifold is to introduce a local object that will support differentiation process and then to patch these local objects together smoothly.
....

p. 37: "(W)e obtain a vector bundle by smoothly patching together local vector bundles.
.......

p. 443: "This, or something like it, seems to be the final step in quantization. It is a crucial problem that has not yet found a satisfactory answer."

 

 

===================================

Subject: International Quantum Foundations Workshop
Date: Tue, 20 Apr 2010 14:23:06 +0100
Message-ID:
<r2obed37361004200623i76b7e4bbs89ed7b343d1e7aa2@mail.gmail.com>
From: Dimi Chakalov <dchakalov@gmail.com>
To: Mike Towler <mdt26@cam.ac.uk>
Cc: Karl Svozil <svozil@tuwien.ac.at>,
F David Peat <dpeat@fdavidpeat.com>,
Guido Bacciagaluppi <g.bacciagaluppi@abdn.ac.uk>,
Herman Batelaan <hbatelaan2@unl.edu>,
Andrew Bennett <afbennett@peak.org>,
Jeffrey Bub <jbub@umd.edu>,
Jeremy Butterfield <jb56@cam.ac.uk>,
Samuel Colin <s.colin@griffith.edu.au>,
Murray Daw <daw@clemson.edu>,
Maaneli Derakhshani <maanelid@yahoo.com>,
Chris Dewdney <chris.dewdney@port.ac.uk>,
Maurice de Gosson <maurice.de.gosson@univie.ac.at>,
Jonathan Halliwell <j.halliwell@imperial.ac.uk>,
Lucien Hardy <lhardy@perimeterinstitute.ca>,
Basil Hiley <b.hiley@bbk.ac.uk>,
Adrian Kent <apak@cam.ac.uk>,
Martin Korth <martin.korth@gmail.com>,
Creon Levit <creon.levit@nasa.gov>,
Tim Maudlin <maudlin@rci.rutgers.edu>,
Alberto Montina <amontina@perimeterinstitute.ca>,
Wayne Myrvold <wmyrvold@uwo.ca>,
Gillie Naaman-Marom <gilliem@bezeqint.net>,
Travis Norsen <norsen@marlboro.edu>,
Xavier Oriols <xavier.oriols@uab.cat>,
Roger Penrose <penroad@herald.ox.ac.uk>,
Alejandro Perez <perez@cpt.univ-mrs.fr>,
Patrick Peter <peter@iap.fr>,
Nelson Pinto-Neto <nelsonpn@cbpf.br>,
Paavo Pylkkanen <paavo.pylkkanen@his.se>,
Anton Ramsak <anton.ramsak@fmf.uni-lj.si>,
Peter Riggs <peter.riggs@anu.edu.au>,
Carlo Rovelli <rovelli@cpt.univ-mrs.fr>,
Simon Saunders <simon.saunders@philosophy.ox.ac.uk>,
Maximilian Schlosshauer <schlosshauer@nbi.dk>,
Lee Smolin <lsmolin@perimeterinstitute.ca>,
Rob Spekkens <rspekkens@perimeterinstitute.ca>,
Ward Struyve <ward.struyve@fys.kuleuven.be>,
Jos Uffink <uffink@phys.uu.nl>,
Lev Vaidman <vaidman@post.tau.ac.il>,
Antony Valentini <a.valentini@imperial.ac.uk>,
Chris Isham <c.isham@imperial.ac.uk>,
Abner Shimony <abner.shimony@gmail.com>,
Steve <adler@ias.edu>,
Huw Price <huw@mail.usyd.edu.au>,
Sergio <dopliche@mat.uniroma1.it>,
Landsman <landsman@math.ru.nl>,
Roland <roomnes@wanadoo.fr>



RE: International Quantum Foundations Workshop
Saturday 28th August - Saturday 4th September 2010
The Apuan Alps Centre for Physics @ TTI, Vallico Sotto, Tuscany
www.vallico.net/tti/tti.html

Dear Dr. Towler,

Perhaps you and your colleagues may wish to check out an ontological interpretation of KS Theorem at

http://www.god-does-not-play-dice.net/#KS

Please notice that the UNdecidable KS state (called 'potential reality') has been interpreted as 'pre-quantum reality'.

For comparison, a similar task has been undertaken by Antony Valentini, at the expense of introducing some "signal nonlocality" [Ref. 1] and "hidden variables" [Ref. 2].

Unlike Valentini's theory, I trust every physicist can check out the interpretation of KS Theorem at the link above, and find out whether there is an error in it.

Should you or any of your colleagues find an error, please do write me back. If you cannot find such error, please be assured that I would be delighted to attend your Workshop and explain the so-called 'PR interpretation of QM'.

BTW please note that the human brain (not mind) can unmistakably handle such UNspeakable potential reality,

http://www.god-does-not-play-dice.net/#context

Perhaps all we may need is to model the whole universe as a 'brain'.

No need to introduce any hidden ghosts,

http://demonstrations.wolfram.com/CausalInterpretationOfTheDoubleSlitExperimentIn
QuantumTheory

The so-called 'potential reality' is known after Plato and Aristotle.

Looking forward to hearing from you and from your colleagues,

Yours sincerely,

Dimi Chakalov
35 Sutherland St
London SW1V 4JU
Phone [snip]

References

[Ref. 1] Antony Valentini,
http://en.wikipedia.org/wiki/Antony_Valentini

"Valentini has been working on an extension of David Bohm's "ontological interpretation" of quantum theory that would allow "signal nonlocality" that is forbidden in orthodox quantum theory. "Signal nonlocality" allows nonlocal quantum entanglement to be used as a stand-alone communication channel without the need of a classical light-speed limited retarded signal to unlock the entangled message from the sender to the receiver. This would be a major revolution in physics ... "


[Ref. 2] When Reality is Real: An Interview with Antony Valentini
By Jill Neimark, Anthony Valentin

http://www.metanexus.net/magazine/tabid/68/id/7405/Default.aspx

"What is so unusual about Antony Valentini? Just this: he's resurrected a theory that undoes the central tenet of quantum mechanics, and gives relativity theory a good punt to left field as well. The theory follows quantum math, but at the same time allows for new possibilities beyond conventional quantum mechanics.. It's a theory that says there is indeed an objective reality behind the things we observe -- that quantum uncertainty is not fundamental. And that somewhere, somehow, time is universal -- not relative. Goodbye, ghostly probabilities, with their strange propensity for collapsing into real things while apparently sort of holding back and remaining always a bit coy and ghostly... hello, hidden variables that are objective.

"And Antony's particular twist on the theory suggests a new explanation for the uniformity of the early universe -- where, he suggests, quantum law might not have applied, where stuff could interact faster than the speed of light -- and where those interactions were actually visible.

"There's no proof, of course -- at least not yet. But it's fun to think about.
......

"Q: How are you going to convince anybody of this?

"A: We need to find a violation of quantum mechanics in the early universe. We need to find a non-quantum distribution of particles. There may be particles floating around in space now which were left over from that very early time. People are looking for particles of dark matter left over from the early universe, and some of these may be good candidates. Another possibility is relic gravitons, particles associated with gravity that are believed to have stopped interacting
with other particles at a very early time. Perhaps these relic gravitons from the early universe don't obey quantum mechanics.
........

"Q: How does the pilot wave theory view time and space?

"A: It goes against relativity theory, because it has faster-than-light processes, and in relativity nothing is supposed to go faster than light. So it seems to me that we may have to revise relativity theory and end up with a notion of universal time. In relativity, different observers at different speeds have their own time and there is no absolute time. But in this theory, distant observers can communicate instantaneously if they have control at this fundamental level of non-quantum particles. So they would be able to synchronize their clocks instantaneously even if they were millions of light years apart. Of course, some people don't like the idea, and that's a problem."
---------

Note: I haven't yet received feedback from Mike Towler and from his colleagues regarding my email sent three days ago. Surely the KS Theorem poses very tough challenges regarding the crux of 'quantum reality'.

Luckily, Chris Isham has recently produced a clear explanation -- check out his arXiv:1004.3564v1, Sec. 5.1, 'The Kochen-Specker theorem and contextuality', p. 20:

"... the implication of the discussion above is that the value ascribed to B (resp. the result of measuring B) depends on whether it is considered together with A1, or together with A2. In other words the value of the physical quantity B is contextual. This is often considered one of the most important implications of the Kochen-Specker theorem."

The immediate question is this: What remains invariant in 'the quantity B' upon changing its "color" (see 'KS Theorem for teenage girls' below), to qualify as 'quantum reality of the quantity B'?

My proposal: pre-quantum reality. In the framework of Chris Isham's approach, the so-called pseudo-states (ibid., p. 16) are ‘as close as we can get’ to the UNspeakable pre-quantum reality (called here 'potential reality'). In the case of the human brain, you can "measure" the latter with three (or more) sayings ("pseudo-states"), yet can never "collapse" the ultimate potential reality from which these "contextual" quantum states emerge.

Regardless of how you tackle such "pseudo-states" with some topos approach, the solution to the measurement problem in QM requires that you offer some 'peaceful coexistence' (Abner Shimony) of this pre-quantum reality and STR, as explained at this web site. Recall its motto: Dead matter makes quantum jumps; the living-and-quantum matter is smarter. We could have sorted out this bundle of issues eight years ago, but I guess Chris Isham had a different agenda.

Anyway; here's an anecdotal story from 1970s (ibid., footnote 3, p. 6):

"I have a fond memory of being in the audience for a seminar by John Wheeler at a conference on quantum gravity in the early 1970s. John was getting well into the swing of his usual enthusiastic lecturing style and made some forceful remark about the importance of the quantum principle. At that point a hand was raised at the back of the lecture room, and a frail voice asked “What is the quantum principle?”. John Wheeler paused, looked thoughtfully at his interlocutor, who was Paul Dirac, and answered “Well, to be honest, I don’t know”. He paused again, and then said “Do you?”. “No” replied Dirac."

If you, my dear reader, cannot find an error in the interpretation of KS Theorem below, I will be happy to offer you my version of 'the quantum principle' and the origin of the quantum of action.

But if you aren't interested -- that's perfectly fine with me.

"just another crank" D.C.

April 23, 2010
 

=====================

Subject: Re: International Quantum Foundations Workshop
Date: Sat, 24 Apr 2010 16:50:32 +0300
From: Dimi Chakalov <dchakalov@gmail.com>
To: Mike Towler <mdt26@cam.ac.uk>
Cc: [49 recipients]

Hello Mr Towler,

On Sat, 24 Apr 2010 13:56:55 +0100 (BST), you wrote:

> As I'm sure you are aware, sending unsolicited emails to large numbers of
> famous people asking what they think of your theory is not only widely
> considered to be appallingly rude but to be the hallmark of a crackpot.

It is not about my "theory", as you put it.

I'm afraid there is a large number of "famous people" who ignore the legacy of Schrödinger and Margenau, and cannot grasp the basic basics of KS Theorem and CK Free Will Theorem,

http://www.god-does-not-play-dice.net/#KS

If you and the rest of these "famous people" consider this "appallingly rude" and "the hallmark of a crackpot", I can only wish you a quiet a peaceful retirement.

Alternatively, if you and the rest of these "famous people" wish to get professional, please don't hesitate to write me back, with *specific arguments* refuting the interpretation of KS Theorem offered at the link above.

Just please reply professionally.

Thank you very much in advance.

Yours sincerely,

D. Chakalov


> On Fri, 23 Apr 2010, Dimi Chakalov wrote:
>
>> P.S. An explanatory note, with excerpts from the latest paper by C.
>> Isham, has been posted at
>>
>> http://www.god-does-not-play-dice.net/#Towler_note
>>
>> A penny for your thoughts!
>>
>> D.C.
>>
 

====================================

Subject: Quasi-local Mass and Angular Momentum in General Relativity (November 1981)
Date: Mon, 26 Jul 2010 18:37:45 +0300
From: Dimi Chakalov <dchakalov@gmail.com>
To: Roger Penrose <penroad@herald.ox.ac.uk>
Cc: Peter van Nieuwenhuizen <vannieu@insti.physics.sunysb.edu>,
Glenn Starkman <glenn.starkman@case.edu>,
Alex Vikman <alexander.vikman@nyu.edu>,
David Jacobs <dmj15@case.edu>,
Chiang-Mei Chen <cmchen@phy.ncu.edu.tw>,
G Nester <nester@phy.ncu.edu.tw>,
Xiaoning Wu <wuxn@phy.ncu.edu.tw>,
Laszlo Szabados <lbszab@rmki.kfki.hu>,
Adam Helfer <adam@math.missouri.edu>,
Massimo Pauri <pauri@pr.infn.it>,
Luca Lusanna <lusanna@fi.infn.it>,
[snip]


Dear Roger,

Back in November 1981, you acknowledged that "several problems of interpretation remain to be solved". May I offer you some help with an 'arrow of space',

http://www.god-does-not-play-dice.net/#Zinkernagel_note

Are you still interested in GR?

Regards,

Dimi

==============

Subject: Re: "But success, I think, can only be granted by scrupulous intellectual honesty."
Date: Fri, 26 Nov 2010 00:03:33 +0200
From: Dimi Chakalov <dchakalov@gmail.com>
To: Roger Penrose <penroad@herald.ox.ac.uk>
Cc: Thomas Thiemann <thiemann@theorie3.physik.uni-erlangen.de>,
Lee Smolin <lsmolin@perimeterinstitute.ca>,
Karel V Kuchar <kuchar@physics.utah.edu>,
Chris Isham <c.isham@imperial.ac.uk>,
Claus Kiefer <kiefer@thp.uni-koeln.de>,
Norbert Straumann <norbert.straumann@gmail.com>,
Domenico Giulini <domenico.giulini@itp.uni-hannover.de>,
Henk van Elst <hvanelst@karlshochschule.de>,
Sergio Doplicher <dopliche@mat.uniroma1.it>,
Jorge Pullin <pullin@lsu.edu>,
Laszlo Szabados <lbszab@rmki.kfki.hu>,
Luca Bombelli <luca@phy.olemiss.edu>,
Andreas Döring <andreas.doering@comlab.ox.ac.uk>,
Robert M Wald <rmwa@midway.uchicago.edu>,
Carlo Rovelli <rovelli@cpt.univ-mrs.fr>


Hi Roger,

Ever since 1988, I've been having great difficulties with our communication, so I left my feedback to your latest essay, arXiv:1011.3706v1 [astro-ph.CO], at

http://physicsworld.com/cws/article/news/44388

And since some people may delete it, I'll attach it here.

More at
http://www.god-does-not-play-dice.net/Margenau.html

All the best,

Dimi


On Thu, 25 Nov 2010 00:03:37 +0200, Dimi Chakalov <dchakalov@gmail.com> wrote:
>
> Hi Carlo,
>
> I quoted your statement in the subject line at
>
> http://www.god-does-not-play-dice.net/Margenau.html
>
> If you disagree with my critical remarks and/or wish to comment on my
> proposal, please don't hesitate to write me back.
>
> I will be happy to hear from your colleagues as well. Will keep the
> discussion private and confidential -- provided it is professional.
>
> All the best,
>
> Dimi
>



====================================

Subject: "Hiding quantum information" is b******* .
Date: Thu, 8 Jul 2010 12:41:44 +0300
Message-ID:
<AANLkTineDYbgszwc6iROtr6gt4nVJyGL8fQO1MlNUWBq@mail.gmail.com>
From: Dimi Chakalov <dchakalov@gmail.com>
To: Todd Brun <tbrun@usc.edu>
Cc: Bilal Shaw <bilalsha@usc.edu>,
Steve Adler <adler@ias.edu>,
Jeffrey Bub <jbub@umd.edu>,
Chris Isham <c.isham@imperial.ac.uk>,
David Schroeren <davidschroeren@cantab.net>,
Spyros Efthimiades <sefthimiades@fordham.edu>,
Norbert Lütkenhaus <nlutkenhaus@iqc.ca>,
baez@math.ucr.edu, david.corfield@tuebingen.mpg.de,
alex@math.ucr.edu, t.leinster@maths.gla.ac.uk,
shulman@math.uchicago.edu, urs.schreiber@gmail.com,
s.willerton@sheffield.ac.uk


Hi Todd:

Pity you didn't take seriously my email from Thu, 19 Sep 2002 16:47:38 +0300 (cf. below).

The alleged "innocent cover state" [Ref. 1] and secret "quantum information" may be fused with 'the UNdecidable quantum state'.

In the case of your *brain*, you can grasp the latter by comparing the following two statements:

1. You can't hide a piece of broccoli in a glass of milk.

2. Don't wear polka dot underwear under white shorts.

The UNdecidable quantum state of your *brain* (not mind) is not about broccoli, underwear, milk, or shorts.

More from Schrödinger, Margenau, and KS Theorem at

http://www.god-does-not-play-dice.net/#KS

Should you and/or any of your colleagues cannot understand the arguments at the link above, please write me back.

Take care,

Dimi

[Ref. 1] Bilal A. Shaw, Todd A. Brun, Hiding Quantum Information in the Perfect Code, arXiv:1007.0793v1 [quant-ph], http://arxiv.org/abs/1007.0793

"The day may come when quantum networks are ubiquitous. An advantage that steganography has over standard encryption schemes is that private information could be transmitted over a long time through a network, completely undetected and even unsuspected by other users. Steganographic techniques may also be useful as a way of authenticating quantum communications in distributed quantum information processing; such uses of classical steganography for authentication are often called “watermarking.” Quantum steganography has far reaching consequences, and may provide a measure of security beyond what classical steganography can afford.
....

"Alice and Bob conceal their communication from Eve, hiding their message as errors in a codeword for an “innocent” cover state |psi_c>, and using the resource of a shared secret random key. (Shared entanglement would work as well, or even better.)"


----------

Subject: Think globally, act locally
Date: Thu, 19 Sep 2002 16:47:38 +0300
From: Dimi Chakalov <dchakalov@surfeu.at>
To: Todd Brun <tbrun@ias.edu>
CC: adler@ias.edu,
[snip]

Dear Todd:

Reading your recent "Computers with closed timelike curves can solve hard problems", gr-qc/0209061 [Ref. 1], is a real pleasure.

=====

Note: Recall also the elusive Event Horizon -- a global property of an entire spacetime, which should be somehow "defined nonlocally in time" (J. Thornburg, lrr-2007-3). The mythical "black holes" cannot be defined rigorously in GR, so try the global, Heraclitean, and non-Archimedean time of the UNdecidable quantum state of 'the universe as a brain'. Or trust Chris Isham.

D.C.
July 8, 2010

====================================

Subject: Weyl’s principle: Comoving reference frame & proper time
Date: Fri, 9 Jul 2010 20:07:23 +0300
From: Dimi Chakalov <dchakalov@gmail.com>
To: S E Rugh <rugh@symposion.dk>, H Zinkernagel <zink@ugr.es>

Dear colleagues,

Thank you for your clarification of Weyl’s principle [Ref. 1]. I believe it is obvious that the dynamics of space, as being "expanded" by itself (DDE of "empty space"), is missing in GR,

http://www.god-does-not-play-dice.net/#Blanchard

I think the human brain may possess such self-acting faculty, but if you try to pinpoint its mind, it will inevitably turn out to be "dark", just like the UNdecidable quantum state,

http://www.god-does-not-play-dice.net/#Brun

If you know how to model a universe that can act upon itself, please do write me back.

Kindest regards,

Dimi Chakalov

------

[Ref. 1] Svend E. Rugh, Henrik Zinkernagel, Weyl's principle, cosmic time and quantum fundamentalism, arXiv:1006.5848v1 [gr-qc],
http://arxiv.org/abs/1006.5848v1

p. 2: "Weyl’s principle: The world lines of galaxies, or ‘fundamental particles’, form (on average) a spacetime-filling family of non-intersecting geodesics converging towards the past.

"The importance of Weyl’s principle is that it provides a reference frame based on an expanding ‘substratum’ of ‘fundamental particles’. In particular, if the geodesic world lines are required to be orthogonal to a series of space-like hypersurfaces, a comoving reference frame is defined in which constant spatial coordinates are
“carried by” the fundamental particles. The time coordinate is a cosmic time which labels the series of hypersurfaces, and which may be taken as the proper time along any of the particle world lines."
----------

Note: Time does not originate from 'change in space' (coordinate time, Kodama time, etc.; see Julian Barbour), but from chance of space (cf. Fig. 2). Example with the Hubble Law here.

It is the arrow of space (AOS) that makes 'more and more space' to emerge (Isham and Butterfield) from [we-do-not-know-it], hence "the distances between all elements of the cosmic substratum (or, fluid) grow with time" (Michal Chodorowski), and we enjoy 'arrow of spacetime'. Were it possible to physically trace back the entity called [we-do-not-know-it], it won't be "dark" anymore, and the Aristotelian First Cause would be shifted one step further.

Notice that the arrow of space (AOS) leads directly to Machian quantum gravity, as the motion of any individual body is to be defined with respect to the entire universe (E. Mach, The Science of Mechanics (1883), Open Court, 1960, pp. 286-287). It has "infinite extent" (J. Barbour, arXiv:1007.3368v1 [gr-qc], p. 26), being in the state of ONE-ness (global mode of spacetime, cf. Fig. 2) that keeps "the last remnant of physical objectivity" (A. Einstein).

Physicists hate the Aristotelian metaphysics, however. They relentlessly try to picture [we-do-not-know-it] as some physical stuff with positive energy density, and end up with searching for an 'elephant in a china shop', only to find out that the elephant must be many orders of magnitudes larger than the store itself.

The AOS-driven dynamics of living and quantum/gravitational systems will inevitably produce a self-acting action, because the non-linear bi-directional negotiation between every "fish" and 'the rest of fish from the shoal' is "dark" in the local mode of spacetime. Sorry for repeating this again; I know it's boring.

If you disagree with the arrow of space (AOS), just try to define quasi-local quantities in asymptotically flat spacetime wrapped with (flexible?) "boundaries" at spatial infinity, yet keeping the splitting of spacetime (ADM) into two entities, one of which (called 'time') would refer to things that "evolve" with respect to something fixed, called 'space'. As R. Penrose acknowledged in November 1981 [Ref. 2], "several problems of interpretation remain to be solved".

Fuggedaboudit, Roger. Time can "evolve" just as much as space can; hence the arrow of space viz. arrow of spacetime endowing the conservation of quasi-local observables of Type I matter fields (Eq. 1 below), bootstrapped by gravity. Direct observation of "pure gravitational field" (cf. Dupre and Tipler below) is like direct observation of the human mind, while acting on its brain. Gravity makes all matter fields self-interacting, hence the proper GW detector should be endowed with the faculty of self-acting, that is, capable of acting on its own potential states along the arrow of spacetime.

We should drop the “no prior geometry” assumption in GR and derive the ether from Quantum Theory -- the vanishing of the covariant divergence of the stress-energy tensor (not "pseudotensor") is a quantum-gravitational phenomenon.

According to today's GR (Mario Goto et al., arXiv:1007.4846v1 [gr-qc]), "the Strong Equivalence Principle postulates that at every space-time point in a arbitrary gravitational field it is possible to choose a locally inertial coordinate system such that, within a sufficiently small (notice the poetry - D.C.) region of the point in question, the laws of the nature take the same form as in unaccelerated Cartesian coordinate systems in the absence of gravitation. On the other hand, the Weak Equivalence Principle is nothing but a restatement of the observed equality of gravitational and inertial mass."

NB: When and how does 'the finite small' shift to "sufficiently small", such that (operational definition) you "may erect a locally inertial coordinate system in which matter satisfies the laws of special relativity" (Steven Weinberg, pp. 62-68)? The laws of STR are applicable only if the so-called "sufficiently small" has already become a bona fide geometrical point from the global, Heraclitean, and non-Archimedean realm. On the other hand, the effects of gravity apply only to the Archimedean realm of finite things, such as 'one second' (see the drawing below) or 'one meter'. The bi-directional "talk" of matter and geometry ("space acts on matter, telling it how to move; in turn, matter reacts back on space, telling it how to curve", John Wheeler) is the ultimate "talk" of the Archimedean (local) and non-Archimedean (global) realms of spacetime. The cornerstone puzzle of GR is that your wristwatch does indeed read this "talk", and the covariant divergence of the stress-energy tensor does indeed disappear, or rather "dissolves" in the purely geometrical, non-Archimedean realm of "sufficiently small", staying available to re-emerge, as a quantum-gravitational phenomenon.

On September 21, 2008, I suggested 'necessary and sufficient conditions for spacetime': the former condition concerns physical substratum with positive energy density, while the latter condition refers to a global, Heraclitean, and non-Archimedean state of the whole universe as ONE -- a pre-geometric plenum "connecting" the geometrical "points". It is totally removed from the local mode of spacetime by the so-called 'speed of light', making the local mode a perfectly smooth manifold. Einstein, and many other physicists, called this pre-geometric plenum "ether".

If you disagree with the pre-geometric plenum, try to 'connect the dots' in the drawing of 'one second' by using only Archimedean geometry and physical stuff that is invariant under "active" diffeomorphisms. Or explain the vanishing of the covariant divergence of the stress-energy tensor. Good luck.
 

D.C.
July 10, 2010
Last update: August 20, 2010

[Ref. 2] R. Penrose, Quasi-local Mass and Angular Momentum in General Relativity, Proc. R. Soc. A381 53-63 (1982); cf. p. 53:

R. Penrose, General-relativistic energy flux and elementary optics, in: Perspectives in Geometry and Relativity: Essays in Honor of Václav Hlavatý, ed. by Banesh Hoffmann, Indiana University Press, Bloomington, 1966, pp. 259-274

p. 259: "By definition, Tuv(Matter) describes all the local energy, so any energy due to the [Weyl tensor] must be nonlocal in character. The existence of nonlocal energy is also manifest in the fact that the local conservation law

Tuv^v = 0

is a covariant curved space equation. One cannot just integrate Tuv(Matter) over a 3-space to obtain a conserved total energy-momentum. The total energy-momentum of a system must, therefore, involve nonlocal contributions due, perhaps, to the presence of Weyl tensor or to nonlocal interactions (e.g. Newton's potential energy) between the Tuv's at different points (...). The nonlocality of the gravity energy was then exhibited in the local dependence of the pseudo-tensor on the choice of coordinate system."
 

R. Penrose, The Road to Reality: A Complete Guide to the Physical Universe, Jonathan Cape, London, 2004; ISBN: 0224044478

p. 458: "The contributions of gravity to energy-momentum conservation should somehow enter non-locally as corrections to the calculation of total energy-momentum. (...) From this perspective, gravitational contributions to energy-momentum, in a sense, ‘slip in through the cracks’ that separate the local equation [XXX] = 0 from an integral conservation law of total energy momentum.
....
p. 777: "Thus, any non-constancy in [lambda] would have to be accompanied by a compensating non-conservation of the mass-energy of the matter."


Luca Lusanna et al., arXiv:1007.4071v1 [gr-qc]

"Almost a century after the birth of GR there is yet no universal consensus on how energy, momentum and other conserved quantities should be defined in it from a fundamental viewpoint. (...) The main reason to defend covariant conserved quantities in GR is that, according to the general covariance principle, if conserved quantities were intrinsically non-covariant they would be irrelevant to the description of Nature.
....
"To be precise, the general covariance principle claims that the description of Physics can be done independently of any a priori coordinate fixing. It does not exclude that in particular situations one has a posteriori preferred coordinates, preferred splittings between space and time, or preferred observers; see [2], [3], [4], [5]. One very well-known example of such a situation is Cosmology: in Friedmann-Robertson-Walker solutions one has canonical clocks (e.g. the temperature of the cosmic background radiation) that not only break Lorentz invariance defining a cosmic (global) time but break the Galilei invariance defining observers which are at rest with respect to the cosmic background radiation."

Luca Lusanna and Massimo Pauri (6 March 2005), General Covariance and the Objectivity of Space-time Point-events,
http://philsci-archive.pitt.edu/archive/00002224/

Chiang-Mei Chen and James M. Nester, Gravitation & Cosmology 6, 275 (2000);
arXiv:gr-qc/0001088v1

"Via their energy-momentum density, material sources generate gravitational fields. Sources interact with the gravitational field locally, hence they should be able exchange energy-momentum with the gravitational field -- locally. From this physical conception we are led to expect the existence of a local density for gravitational energy-momentum."

Maurice J. Dupre, Frank J. Tipler, General Relativity As an Aether Theory, July 28, 2010, arXiv:1007.4572v1 [gr-qc]
http://arxiv.org/abs/1007.4572

"Most of the leading relativists in the early twentieth century, for examples Eddington [18] and even Einstein himself [19], claimed that general relativity was an æther theory, but they gave no mathematical demonstration of their claim.
....

"According to Einstein, in his Autobiography [12], the most natural choice for the tensor S_μv is the stress-energy tensor. Einstein was uncomfortable with adding the term [xxx] to the Ricci tensor, saying it was only introduced for 'technical reasons,' required by the vanishing of the covariant divergence of the
stress-energy tensor.
........

"The vanishing of the divergence of the stress energy tensor is derived in Minkowski space using all the symmetries of Minkowski space. But leaving Minkowski space for a general spacetime means losing the symmetries that allowed the derivation of T [xxx] = 0 to start with!
......

"As MTW emphasize, the requirement that there is no “prior geometry”— that the metric is entirely determined by the field equations for gravity — actually fathered general relativity.
.....

"A central point of Lorentz’s 1904 paper, in which he derived the Lorentz transformations, was that the Maxwell equations — for Lorentz, the equations of the æther — do not allow an absolute time to be defined. This is of course now obvious since the speed of light in the vacuum is a constant, independent of a inertial observer.

"So the æther can be thought of as defining a time direction different from what we may have thought of as Newtonian absolute time.
.......

"If space is not spatially flat, then the spatial Riemannian metric will define a metric connection, and we might thus have two connections, one from the spatial metric, and one in the time direction only.
.....

"We suspect, but do not attempt to prove, that maintaining the distinction between two such connections would be very difficult.

"Essentially, the requirement that the connection arise entirely from the metric is nothing but the “no prior geometry” assumption, which, as we pointed out earlier, is the only assumption that will allow the geometry to be determined by the matter distribution and the boundary conditions. Once again, MTW have emphasized that the “no prior geometry” assumption is the basic assumption of general relativity. It is also an essential assumption of the curved ætherial Newtonian gravity theory we develop here.
......

"The question is, what should we select for the tensor S_μv . According to Einstein in his Autobiography: “On the right side [of the Einstein equations] we shall then have to place a tensor also in place of [the mass density] . Since we know from the special theory of relativity that the (inertial) mass equals energy, we shall have to put on the right side the tensor of energy-density— more precisely the entire energy-density, insofar as it does not belong to the pure gravitational field ([12], p. 75.)."

 

===================================

Subject: The vanishing of the covariant divergence of the stress-energy tensor is a quantum-gravitational phenomenon
Date: Mon, 2 Aug 2010 20:05:20 +0300
Message-ID:
<AANLkTikaKMYEERCfKuyv7RxDdYXiYNgRWrx7gTuS0o6Z@mail.gmail.com>
From: Dimi Chakalov <dchakalov@gmail.com>
To: Angelo Loinger <angelo.loinger@mi.infn.it>,
Tiziana Marsico <martiz64@libero.it>,
John Stachel <john.stachel@gmail.com>,
Mihaela Dorina Iftime <miftime@gmail.com>,
Claus Kiefer <kiefer@thp.uni-koeln.de>,
Domenico Giulini <domenico.giulini@itp.uni-hannover.de>,
Norbert Straumann <norbert.straumann@gmail.com>,
Helmut Friedrich <hef@aei.mpg.de>,
Jeremy <jb56@cam.ac.uk>,
Laszlo Szabados <lbszab@rmki.kfki.hu>,
Shing-Tung Yau <yau@math.harvard.edu>,
Richard M Schoen <schoen@math.stanford.edu>,
Niall Ó Murchadha <niall@ucc.ie>,
Claus Gerhardt <gerhardt@math.uni-heidelberg.de>,
Adam Helfer <adam@math.missouri.edu>


Dear colleagues,

It had been suggested to Einstein by Levi-Civita, who had pointed out that, by virtue of Bianchi identities, the covariant divergence of the stress-energy tensor of matter and fields *has to* be equal to zero, in order to satisfy the dynamical laws of continuous media, as known in 1915:

Angelo Loinger, Einstein, Levi-Civita, and Bianchi relations,
arXiv:physics/0702244v1 [physics.gen-ph]
http://arxiv.org/abs/physics/0702244

However, 'time' in dynamical laws does not come from 'change in space', but from 'change of space',

http://www.god-does-not-play-dice.net/#Zinkernagel_note

(Example with the Hubble Law at the link above.)

Hence we enjoy 'arrow of space', driven by some "dark" [we-do-not-know-it]. The (covariant divergence of the stress-energy tensor of) matter and fields can *completely* vanish/dissolve into the quantum vacuum, and stay available there for any partial, full, or "over unity" recall, if and when needed.

All this requires a new form of reality, after Schrödinger, Margenau, and KS Theorem:

http://www.god-does-not-play-dice.net/#KS

My next talk will be in Munich, on Wednesday, 25 November 2015. Meanwhile, check out the implications for LIGO, Virgo, GEO, LCGT, and LISA at

http://www.god-does-not-play-dice.net/ExplanatoryNote.pdf

Sincerely,

Dimi Chakalov
------

Note: Since we represent matter by "a wooden nose in a snowman" (A. Einstein), what actually "vanishes" is completely outside present-day GR. Perhaps it is safe to say that the confusion about what becomes 'quasi-local' due to gravity, and exactly how, is enormous -- check out Carl Hoefer, Roger Penrose, Babak and Grishchuk [Ref. 1], and Einstein's Equivalence Principle (Okon and Callender; Hans Ohanian): the wegtransformierbar faculty of gravity (Hermann Weyl) over a "point", in the non-Archimedean realm of 'the grin of the cat without the cat', as observed by Alice.

 

 

Both the Riemannian space and Minkowski space can only accommodate facts. In the latter case, you have insurmountable problems with reconciling QM with STR. In the former case of Einstein's GR, the only event that can qualify as 'fact' is the already-completed bi-directional "talk" of matter and geometry over a "point". This is the origin of "the laws of an instant" (Karel Kuchar). But we may derive dynamical laws from 'an instant' only in Minkowski space; see what happens in GR here and here.

To be precise: I believe there exists a concealed, yet-to-be-identified object, which plays a dual role in GR, as it shows up as either "components of the metric tensor" or "gravitational field variables" [Ref. 1]. In plain words: "the metric is treated as a field which not only affects, but also is (at the very same instant - D.C.) affected by, the other fields" (John Baez). And from Laszlo Szabados: "the metric has a double role: it is a field variable and defines the geometry at the same time" . Therefore, if you employ some classical space that can only accommodate facts, and try to apply the Equivalence Principle, you are destined to a blind alley: on the one hand, the "ether" must not "come back" (M. Montesinos), but on the other hand -- the gravitational (field) energy "contributes non-locally to the total energy" (R. Penrose), and you're back in murky waters, since November 1915. People are very reluctant to acknowledge that the gravitational "field" is not a classical field. Instead, they either keep quiet (Chris Isham) or offer their "pearls" of wisdom, like Gerard ’t Hooft.

I think the introduction of some "flat space" in GR (CEOFOP, p. 25), as well as a "true, real stress-energy-momentum tensor for gravity" (see above), is not even wrong. Yet such ideas deserve publishing, because students should be made aware how vulnerable the mathematical formulation of GR is to ridiculous ideas -- see CEOFOP's "pearls" above.

Let me try to explain my viewpoint, in the framework of 'the universe modeled as a brain'. I take for granted that matter can interact with matter only. Corollary: any direct action of geometry on matter (e.g., Feynman's “sticky beads”) is banned. It is like direct action of the human mind on its brain or other physical systems. In this context, the action of the alleged GW strain on physical bodies (LIGO's arms) should be considered 'GW psychokinesis'. To avoid such parapsychology, we should investigate how matter interacts with matter in a Machian universe, in which the non-linear negotiation and feedback from 'everything else' is encoded in the emergence of what has been called in GR 'geodesics'.

Regarding GWs: the omnipresent "direction" of GW propagation takes place in the global mode of spacetime; it correlates every "fish" with the whole school of fish, hence such AOS-driven dynamics will produce an emergent quasi-local geodesic of every "fish", and will induce geodesic waves, much like the waves of the legs of a centipede. Of course, we are confined in the local mode of spacetime, and cannot observe these emergent geodesics waves.

In the local mode, no fish could register any "deviation" from anything, just as in the example with four pre-correlated dice; details in 'the quantum principle'.

The "Gespensterfelder" (EPR-like) "action" from 'the whole school' on every quasi-local fish will show up as "dark", because it cannot be traced back from any quasi-local fish. LIGO is not endowed with the faculty of 'self-acting', and cannot detect such "dark energy from empty space".

Recall the game of '20 questions', courtesy from John Wheeler [Ref. 2]. The quasi-local object 'cloud' cannot be represented by a tensor, because it is not an 'objective reality out there'. It brings the quasi-local quantum-gravitational contributions -- just the contributions -- to matter and fields in the r.h.s. of Einstein equation. These contributions are being converted, in the global mode of spacetime, to bona fide type I matter fields; they just acquire an additional degree of freedom due to the bootstrapping faculty of gravity, resembling the geodesic hypothesis (A. Rendall) in today's GR (summary from K. Koehler, B. Mashhoon, and N. Dadhich).

To explain these quasi-local quantum-gravitational contributions, think of the object 'cloud' as a fish from the school of fish: at each and every instant from their collective quasi-local "geodesics", we have local conservation of energy and momentum to every closed (finite infinity, G.F.R. Ellis) system [matter & cloud], but this local conservation pertains only to one "horizontal" snapshot from the arrow of space -- cf. Figs 1 and 2 from 'Die Bahn'.

Thus, "the covariant divergence of the stress-energy tensor" (Wiki) does indeed vanish, because at each and every instant from the arrow of space (hence arrow of spacetime) the bi-directional talk of matter and geometry (cf. the double role of Einstein's equations, M. Montesinos) has been already completed, and in such already-correlated instantaneous snapshot all "nonlocal" and "dark" stuff has totally vanished.

Hence the "freely falling" bodies can indeed follow geodesics, as "the stress-energy has zero divergence" (Kenneth R. Koehler) at each and every instant 'now' from the local mode of spacetime (cf. Fig. 1). Picture these "horizontal" (local mode) sections of the arrow of spacetime as Photoshop layers stacked on the  w  arrow (cf. Fig. 2 above): the requirement 'stress-energy must have zero divergence' is indeed fulfilled, along with the Equivalence Principle, but only "during" an instant 'now' from the local mode.

However, because we inevitably  flatten  all "Photoshop layers" due to the so-called "speed of light", we see a perfect continuum of already-correlated facts, chained along a perfectly continual trajectory (e.g., the trajectory of a Frisbee on Minkowski space) or perfectly continual geodesic. In order to follow a geodesic (Alan Rendall), the Frisbee will have to obtain all quantum-gravitational contributions to its path from 'the rest of the universe', and then it will move like a fish from a school of fish. Most importantly, such quasi-local fish will always have strictly positive inertial mass.

(On March 27, 2007, Prof. Warren W. Johnson, LSU, wrote: "Ah ha, caught you lying! You do have a radically different "theory" to compete with Einstein's theories." But LIGO fellow Warren W. Johnson is wrong. I strictly follow Einstein's GR, and am trying to remove all "miracles" in GR (resembling the projection postulate in QM), which preclude us from understanding the geodesic hypothesis, as explained by Alan Rendall. If you agree with Warren Johnson, or trust Chris Isham, try to uncover some "total field of as yet unknown structure", and send your proposal to Alan Rendall. I hope he will then re-write his online article.)

Notice that the vanishing property of  tµv  (M. Montesinos)  is manifestation of the so-called ‘problem of time’: nothing can possible "move" in such block universe; cf. G.F.R. Ellis below.

 

If you believe in the Riemannian space of 'facts' and use only Archimedean geometry, you will inevitably encounter insurmountable problems with the conservation of energy and momentum in present-day GR, as well as tug-of-war "dark" effects of gravity, dubbed CDM and DDE.

My suggestion is to zoom on the "infinitesimal variables" [Ref. 3] and reveal the interplay of matter and geometry -- their bi-directional "talk" on the interface of the Archimedean (material) and non-Archimedean (geometrical) realms. The end result is a perfect continuum in the local mode of spacetime.

NB: This can only happen if there is a physical mechanism producing such perfectly smooth spacetime manifold, based on the so-called speed of light: the "duration" of the bi-directional "talk", in the local mode of spacetime, is zero.

This is the meaning of the statement 'Your Global Time is ZERO'. More in my talk on Wednesday, 25 November 2015. My first talk didn't attract the attention of the theoretical physics community, but once the "enhanced" and "advanced" LIGO fail miserably by November 2015, I hope people will get serious about GR:

"The representation of matter by a tensor was only a fill-in to make it possible to do something temporarily, a wooden nose in a snowman." (Albert Einstein's Last Lecture, April 14, 1954)

D. Chakalov
August 6, 2010
Last update: September 6, 2010

[Ref. 1] S. Babak and L. Grishchuk, The Energy-Momentum Tensor for the Gravitational Field, Phys. Rev. D61 (2000) 024038; gr-qc/9907027 v2.

"The search for the gravitational energy-momentum tensor is often qualified as an attempt of looking for “the right answer to the wrong question”. [cf. C.W. Misner, K.S. Thorne and J.A. Wheeler, Gravitation (W. H. Freeman and Company, New York, 1973), p. 467 - D.C.]
...
"In traditional field theories, one arrives, after some work, at the energy-momentum object which is: 1) derivable from the Lagrangian in a regular prescribed way, 2) a tensor under arbitrary coordinate transformations, 3) symmetric in its components, 4) conserved due to the equations of motion obtained from the same Lagrangian, 5) free of the second (highest) derivatives of the field variables, and 6) is unique up to trivial modifications not containing the field variables. There is nothing else, in addition to these 6 conditions, that we could demand from an acceptable energy-momentum object, both on physical and mathematical grounds.
...
"In the geometrical formulation of the general relativity, the components g_mn(x^a) play a dual role. From one side they are components of the metric tensor, from the other side they are considered gravitational field variables. If one insists on the proposition that “gravity is geometry” and “geometry is gravity”, then, indeed, it is impossible to derive from the Hilbert-Einstein Lagrangian something reasonable, satisfying the 6 conditions listed above."

[Ref. 2] John and Marry Gribbin, In Search of Schrödinger's Cat, Black Swan, London, 1998, p. 209

"There had been a plot not to agree on an object to be guessed, but that each person, when asked, must give a truthful answer concerning some real object that was in his mind, and which was consistent with all the answers that had gone before. With only one question left, John Wheeler guessed: "Is it a cloud?" The answer was "Yes!"

[Ref. 3] Eric Schechter (5 December 2009), Infinity: Introduction and History.

Comment: Eric Schechter wrote that "if you take a medium-sized number and divide it by an enormous number, you get a number very close to 0."

Since the notions of infinity and infinitesimal are, in some (yet to be explained) sense, reciprocal, the latter can be illustrated with the following expression  (notice that this is just an illustration of the puzzle stressed by Lucretius):

1/∞ → 0

We take a medium-sized number, 1 , to represent a finite Archimedean thing (e.g., one meter or one second), and divide it by ... what kind of infinity? Potential infinity or completed/actual infinity? No matter what we choose, we cannot recover the finite Archimedean thing by multiplying "zero" by "infinity". We are "bartenders" (recall Thompson's lamp paradox).

That's the puzzle of the finite Archimedean entities called 'space' and 'time' (local mode). Viewed from the local mode of spacetime, the infinitesimal -- the atom of geometry -- is the instantaneous state of Zeno's arrow. It is in 'absolute rest' with respect to all relativistic systems, hence we can define the elementary increment of physical variables (ds and dt) with respect to such "ether". I call it 'geometrical point', and stress that it is a non-Archimedean entity (global mode of spacetime), which builds up 'the grin of the can without the cat' (Alice), in line with the Continuum Hypothesis (CH). The latter is neither provable nor disprovable -- cf. Kurt Gödel. Why? Because the continuum emerges from the non-Archimedean realm of 'the universe as ONE', in which our mundane notions of "zero" and "infinity" do not hold anymore. They are simply not-applicable.

All we can say is that, depending on the "direction" we look at 'the universe as ONE', it looks like either infinitely small or infinitely large, as it wraps up the whole Archimedean 3-D space of present-day GR. Hence we can enjoy “self-contained” isolated systems, the asymptotic spacelike regime included (Adam Helfer).

The recipe is simple and unique. How else can you remove the jejune poetry in mathematical GR and differential geometry textbooks, encoded in expressions like "sufficiently small" and "smooth" (Piotr Chrusciel), and in stipulations that the Hausdorff topological space has somehow been made "connected" (Chris Isham)? There is no matter at the primordial level of 'pure geometry' to enable such "connection", which would show up as the affine connection (Graham Nerlich).

"It is extremely difficult to induce penguins to drink warm water", says John Coleman.

I hope these brief (and frank) comments can explain the idea about bi-directional "talk" of the Archimedean (material) and non-Archimedean (geometrical) realms. Forget about tensors.

More on Wednesday, 25 November 2015.  GR "bartenders" are cordially invited.

D.C.
August 9, 2010
Last update: August 11, 2010
---------------

Point set topology is a disease from which the human race will soon recover.
Henri Poincaré

===================================

Subject: Request for paper
Date: Wed, 29 Sep 2010 15:57:22 +0300
From: Dimi Chakalov <dchakalov@gmail.com>
To: Jochen Rau <jochen.rau@q-info.org>,
Jochen Rau <jrau@th.physik.uni-frankfurt.de>
Cc: Jürgen Audretsch <juergen.audretsch@uni-konstanz.de>,
Klaus Nagorni <nagorni@ev-akademie-baden.de>


Dear Dr. Rau,

If possible, please send me a copy from your paper/slides "How to infer a quantum state from imperfect data", November 19, 2010. I trust you'll mention KS Theorem,

http://www.god-does-not-play-dice.net/#KS

Regarding your 1993 article "On the metric structure of space-time", arXiv:1009.5523v1 [gr-qc], and Prof. Audretsch's article "Riemannian structure of space-time as a consequence of quantum mechanics" from 1983 ("quantum mechanics must contain classical particle mechanics as a limiting case", Jürgen Audretsch), please notice my efforts in quantum cosmology,

http://www.god-does-not-play-dice.net/#consciousness

Outline in Sec. Summary, pp. 35-36, in
http://www.god-does-not-play-dice.net/ExplanatoryNote.pdf

Perhaps one can define God mathematically. It's all about 'Die Wirklichkeit des Möglichen in der Physik' (Jürgen Audretsch).

Kindest regards,

Dimi Chakalov
--------

Comments on 'primitive concepts' in spacetime structures, prompted by Jochen Rau's 1993 article [Ref. 1] and  R = R(t)  from Brian Dolan:

The key assumption, which Jochen Rau calls 'deformability', is that "the event manifold's physical structure is allowed to vary freely" [Ref. 1]. Precisely what is implied by "freely"?

In GR, there are no fixed paths in the "time" variable in R = R(t) from Brian Dolan -- paths are being made by "walking" (Antonio Machado) along the Heraclitean (non-Archimedean) time: "You cannot step into the same river twice, for fresh waters are ever flowing in upon you." In GR parlance, "more and more space ... appears."

Thus, the event manifold itself should be endowed from the outset with the flexibility to be modified at each and every next event from 'the world lines of galaxies' (Weyl’s principle). Precisely what is implied by such flexibility?

Here Jochen Rau and I agree only on "it depends on the distribution of matter in the universe (and on boundary conditions)" [Ref. 1]. However, in a Machian-type universe the flexibility of the event manifold should not be constrained to Lorentzian metric. We may picture some emergent Lorentzian signature only within/during one fleeting instant from the Arrow of Space.

To cut the long story short, the ‘no-prior-geometry’ demand fathered GR (MTW, p. 431), but by doing so it also fathered a century of confusion. No aspect of the geometry of spacetime should be "fixed immutably", i.e., "cannot be changed by changing the distribution of gravitating sources" (MTW, p. 429). Any fixed background, such as the topology of space (not determined in current GR) and the fixed relations of 'inside' vs. 'outside' in 3-D space (local mode), must be made (i) dynamical and (ii) totally removable in the global mode of spacetime. And that's why we need the global mode of spacetime: the "dark gaps" from the global mode are rendered/reduced to zero in the local mode, by the Arrow of Space and the so-called 'speed of light'. The physical/observable result is a perfect continuum, at all length scales. We don't have any other choice.

To resolve the century of confusion, I plan to suggest a virtual geodesic path formulation of GR on Wednesday, 25 November 2015 -- DeWitt's "many worlds" will be placed in our common 'potential reality', and the selection of 'one among infinitely many' worlds with emergent Lorentzian signature -- one-at-a-time -- will be made by 'the whole universe as ONE', in line with so-called biocausality.

As the old saying goes, you pays your money and you takes your choice; but assume well-defined concepts of (i) energy density in GR and (ii) trajectory of quantum particles (quantum flexibility, not "fluctuations"), your choices narrow greatly. Regarding (ii), all particles simultaneously explore all potential paths (“smells all the paths in the neighborhood”, The Feynman Lectures on Physics, Vol. II, Ch. 19, The Principle of Least Action) before (=global mode) they jointly make the elementary (dt & ds) step along their trajectories; hence each and every step is unique and irreversible in the Heraclitean (non-Archimedean) time.

As to (i), the energy density is fixed both 'at a point' and 'viewed from infinity'. It's a package, and we can get it only with the global mode of spacetime in which the notions of 'geometrical point' and 'actual infinity' refer to ONE entity. Depending on the "direction" we look at 'the universe as ONE' from within the 3-D space (local mode), it looks either as 'infinitesimal geometrical "point" tending asymptotically toward zero', or as 'infinitely large and "expanding" volume of 3-D space'.

There is no other choice for quantum gravity. We first have to fix the long-standing problems of QM and GR, and then all pieces of the jigsaw puzzle will snap to their places -- effortlessly. Then the proper math will also show up -- effortlessly. I am sure professional mathematicians will understand what I mean.

If you agree with Chris Isham, you'll be playing with the drawing below forever.

 

Again, GR and QM "bartenders" are cordially invited.

Well, as Blaise Pascal says, I have made this note longer than usual because I lack the time to make it shorter. Sorry. Will try to do better in November 2015.

D. Chakalov
September 30, 2010
Last update: October 8, 2010

[Ref. 1] Jochen Rau, On the metric structure of space-time, arXiv:1009.5523v1 [gr-qc]. Journal reference: M. A. del Olmo, M. Santander, and J. Mateos Guilarte, eds., Group Theoretical Methods in Physics, Vol. II, Anales de Fisica, Monografias 1, CIEMAT, Madrid, 1993, pp. 483-486

"(W)hich physical assumptions are being tacitly made whenever one postulates the existence of a Lorentzian metric? Only after these assumptions are exhibited can one start to systematically relax them; thus, answers to the above question may be helpful for the study of more general space-time structures.

"Primitive concepts are taken to be events, counting of events, causal relationships and the ability to compare measurements; the corresponding mathematical structures are a differentiable manifold, volume element, causal vectors and affine connection(s), leading to the notion of an 'event manifold'.

"The key assumption, which I will call 'deformability', is that the event manifold's physical structure is allowed to vary freely.

"The proof of the Weyl-Cartan theorem is then reviewed to establish the result that any deformable event manifold must be Lorentzian.

2 Event Manifolds

"I assume that space-time is a connected n-dimensional differentiable manifold M. At x E M, local measurements (e.g., evaluating vector fields) are performed using a basis of the tangent space TxM. In order to have a means to compare local measurements at different points, I require the manifold to be endowed with an affine connection.

"The connection is assumed to be torsion-free.
.......

3 Deformability

"So far my considerations have been very general, and the symmetry group G is by no means uniquely determined. Only now the key idea of General Relativity comes into play: rather than being fixed as in Newtonian theory, the local physical structure on the space-time manifold is itself a variable; it depends on the distribution of matter in the universe (and on boundary conditions)."

 

=================================

Subject: Virtual geodesic path formulation of GR
Date: Sat, 2 Oct 2010 16:09:16 +0300
Message-ID:
<AANLkTikDKpf6TrPVD2=+tQO7qjeVP4DHpzWM01EYJmSz@mail.gmail.com>
From: Dimi Chakalov <dchakalov@gmail.com>
To: [snip]

Dear Colleagues,

On Wednesday, 25 November 2015, I intend to suggest a virtual geodesic path formulation of GR:

http://www.god-does-not-play-dice.net/#Rau_comments

It will elaborate on the *emergence* [Ref. 1] of globally valid 3-D space, along an Arrow of Space,

http://www.god-does-not-play-dice.net/#Zinkernagel_note

Hence 'time' emerges locally, in terms of a 'future directed, time-like unit vector field' (cf. below).

Details in Sec. Summary, pp. 35-36, in

http://www.god-does-not-play-dice.net/ExplanatoryNote.pdf

Should you find these efforts interesting, please reply by September 25, 2015, and I will gladly send you details about the venue (probably Munich).

May I take this opportunity to thank you all for everything I learned from you, and will (hopefully) continue to learn in the years ahead.

Kindest regards,

Dimi Chakalov


[Ref. 1] C.J. Isham and J. Butterfield, On the Emergence of Time in Quantum Gravity, gr-qc/9901024
http://arxiv.org/abs/gr-qc/9901024

p. 25: "Space and time are such crucial categories for thinking about, and describing, the empirical world, that it is bound to be ferociously

 their emerging, or even some aspects of them emerging, from 'something else'.
.....
p. 46: "As we said in Section 1, we intend ‘the emergence of time’ to also cover the emergence of spacetime, and so space."

---------------
Subject: A future directed, time-like unit vector field
Date: Tue, 31 Mar 2009 05:46:18 +0300
From: Dimi Chakalov <dchakalov@gmail.com>
To: Helmut Friedrich <hef@aei.mpg.de>
Cc: Hermann.Nicolai@aei.mpg.de, Curt.Cutler@aei.mpg.de

Dear Dr. Friedrich,

You acknowledged that a future directed, time-like unit vector field, for which no natural choice exists in general, is characterized indirectly and becomes explicitly available only after solving the equations (arXiv:0903.5160v1 [gr-qc], p. 17).

I've been trying to argue that this problem can only be solved by recovering the reference fluid in GR.
[snip]

=================================

Subject: The universe modeled as a 'brain'
Date: Sun, 3 Oct 2010 04:53:03 +0300
From: Dimi Chakalov <dchakalov@gmail.com>
To: Charles L Bennett <cbennett@jhu.edu>,
Gary F Hinshaw <Gary.F.Hinshaw@nasa.gov>,
David Spergel <dns@astro.princeton.edu>,
Lyman Page <page@princeton.edu>,
Ed Witten <witten@ias.edu>,
Richard H Miller <rhm@oddjob.uchicago.edu>,
Stephan S Meyer <meyer@oddjob.uchicago.edu>,
Joshua A Frieman <frieman@fnal.gov>,
Rocky Kolb <Rocky.Kolb@uchicago.edu>,
Robert Rosner <r-rosner@uchicago.edu>,
Carlos S Frenk <C.S.Frenk@durham.ac.uk>,
Berkeley Center for Cosmological Physics <bccpcotb@lbl.gov>

Dear Colleagues,

I've been trying to suggest a model of the universe as a human brain -- please check out Sec. Summary at

http://www.god-does-not-play-dice.net/ExplanatoryNote.pdf

It seems to me -- please correct me if I got it wrong -- that Eqs 1 and 2, pp. 35-36 at the link above, may offer a solution to the ‘most embarrassing observation in physics’ (Ed Witten) and explanation of the apparent finite age of the universe:

"WMAP definitively determined the age of the universe to be 13.73 billion years old to within 1% (0.12 billion years) - as recognized in the Guinness Book of World Records!"

The model suggests a dual age of the universe, such that the evaluation of the statement from WMAP Team will be, in German, YAIN (both yes and no).

Your critical comments will be appreciated, and will be kept private and confidential.

Kindest regards,

Dimi Chakalov

=================================

Subject: The Koch curve and Thompson's Lamp Paradox
Date: Mon, 20 Sep 2010 06:44:58 +0300
From: Dimi Chakalov <dchakalov@gmail.com>
To: Piero Nicolini <nicolini@th.physik.uni-frankfurt.de>,
Benjamin Niedner <niedner@arcormail.de>
Cc: Karl <svozil@tuwien.ac.at>, Jeremy <jb56@cam.ac.uk>


Dear Dr. Nicolini,

I read with great interest your latest arXiv:1009.3267v1 [gr-qc]. May I ask a question regarding the Koch curve in Fig. 1.
 

 

You and Dr. Niedner wrote: "It is an example of an everywhere continuous but nowhere differentiable curve. We can construct the Koch curve as a final product of an infinite sequence of steps. At each step, the middle third of each interval is replaced by the other two sides of an equilateral triangle."

Suppose we consider, as a Gedankenexperiment, an infinite sequence of steps, and assume "the presence of a minimal length" (p. 5), such that (operational definition) the initial 'interval' in Fig. 1 at this "minimal length" becomes _sufficiently small_ (the key expression from the Equivalence Principle in GR textbooks), hence can be considered as 'infinitesimal point' -- the very same infinitesimal point "inside" which the state of the Thompson's Lamp becomes _indecisive_ . Namely, a superposition of |on> and |off> state(s), which can never be "collapsed" bzw. observed.

We would have an ultimate cutoff by such (Planckian?) 'sufficiently small minimal length', yet we won't be able to compute the actual length of the whole Koch curve (nor the Hausdorff dimension), because the _sufficiently small_ infinitesimal length will act as 'numerically finite but physically unattainable boundary/cutoff'.
Stated differently, the final curve won't be "infinitely long", as you put it, but _indecisive_ .

I believe the implications for the notion of "delocalization of point like objects" (p. 3), as well as for those depicted in Fig. 4, are obvious, but let me first state my question:

Am I wrong?

More on the crucial issue of 'sufficiently small' at

http://www.god-does-not-play-dice.net/#when_how

Kindest regards,

Dimi Chakalov

=============

Subject: Re: The Koch curve and Thompson's Lamp Paradox
Date: Mon, 20 Sep 2010 07:43:13 +0300
From: Dimi Chakalov <dchakalov@gmail.com>
To: Piero Nicolini <nicolini@th.physik.uni-frankfurt.de>
Cc: [snip]

Dear Piero,

Thank you for your reply.

[snip]

> as far as I understand, I would say that in some sense your comment is
> correct. the conventional computation of the Hausdorff length is modified
> as we showed in our paper.

With the Thompson's Lamp Paradox, I think the situation changes drastically.

> The introduction of a length scale breaks the self similarity property
> of the erratic path of a quantum particle.

Please see above.

> However some points don't see