Subject: Two rows of arrows: The global mode of spacetime
Date: Fri, 07 Nov 2003 21:39:48 +0200 From: Dimi Chakalov <dchakalov@surfeu.at> To: Merced Montesinos <merced@fis.cinvestav.mx> CC: George F R Ellis <ellis@maths.uct.ac.za>, Jeff Murugan <jeff@hbar.mth.uct.ac.za>, Christos Tsagas <ctsagas@maths.uct.ac.za>, Roy Maartens <roy.maartens@port.ac.uk>, John Barrow <J.D.Barrow@damtp.cam.ac.uk>, Janna Levin <J.Levin@damtp.cam.ac.uk>, Sigbjorn Hervik <s.hervik@damtp.cam.ac.uk>, JeanPhilippe Uzan <uzan@iap.fr>, Alan Guth <guth@ctp.mit.edu>, Jaume Garriga <garriga@ifae.es>, Alexander Vilenkin <vilenkin@cosmos.phy.tufts.edu>, Arvind Borde <borde@cosmos.phy.tufts.edu>, Laurent Nottale <laurent.nottale@obspm.fr>, Ulrich Gerlach <gerlach@math.ohiostate.edu>, Claus Kiefer <kiefer@thp.unikoeln.de>, H Dieter Zeh <zeh@urz.uniheidelberg.de>, Don N Page <don@phys.ualberta.ca>, William G Unruh <unruh@physics.ubc.ca>, Jorge Pullin <pullin@rouge.phys.lsu.edu>, Andre Gsponer <gsponer@vtx.ch>, Antoine Suarez <suarez@leman.ch>, Hans Primas <primas@ggaweb.ch>, JeanPierre Luminet <jeanpierre.luminet@obspm.fr>, Paul Davies <pdavies@els.mq.edu.au> BCC: [snip] Dear Dr. Montesinos, I read with great interest your beautiful paper on the double role of Einstein's equations, grqc/0311001 [Ref. 1]. I like very much your two rows of arrows, and since you stated that any comments on this issue are welcome, may I offer you seven comments. You wrote [Ibid., pp. 45]: "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])
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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 nonvanishing 'flux' in this situation. If this were the case, there would be no explanation for the origin of that nonvanishing 'flux'. Moreover, that hypothetic nonvanishing 'flux' would define privileged observers associated with it (the ether would come back!)." The ether might come back, but as a new feature of spacetime, which I call global mode of spacetime. Here's why. 1. I believe the ether is clearly present in your Eq. 23: it is the medium in which the cancellation due to diffeomorphism covariance (active diffeomorphism invariance) "takes place". We enjoy only the final product, with an *already* vanished flux tending *asymptotically* toward zero. Last year, on 24 October 2002, I asked one of the leading experts in quantum gravity to explain what kind of "time" is tacitly involved in these 'moving points around' in Diff(M)invariance, but I never got an answer, http://members.aon.at/chakalov/Professor_X.html#is Same story with Carlo Rovelli, http://members.aon.at/chakalov/Rovelli.html#note 2. The ether (=global mode of spacetime) seems to be indispensable in discussing the cosmological constant problem, http://members.aon.at/chakalov/Klauber.html http://members.aon.at/chakalov/Tajmar.html#2 3. The global mode of spacetime is needed for a "cut off" of the cosmological time, http://members.aon.at/chakalov/Schwarz.html http://members.aon.at/chakalov/Carroll.html#PS 4. The global mode of spacetime pops up in Cramer's Transactional Interpretation of QM, as two rows of arrows running in some atemporal handshaking medium, http://members.aon.at/chakalov/Cramer.html 5. The same global mode of spacetime has been rediscovered by Antoine Suarez in the socalled nonlocal interactions [Ref. 2]. He directed the Swiss think tank, Institute for Interdisciplinary Studies, from 1985 to 1993, and had an insight on Tuesday, June 26, 2001 [Ref. 3]. 6. To the best of my knowledge, the global mode of spacetime has been first introduced by Raymond Ruyer in 1946 (in French only), as 'potentiel' and 'domaine transspatial', http://members.aon.at/chakalov/chakalov.htm#Ruyer http://members.aon.at/chakalov/Granik.html#white_paper To cut the long story short: 7. The global mode of spacetime is needed in both quantum physics and brain science, to "think globally and act locally", http://members.aon.at/chakalov/Brun.html The global "thinking" requires two rows of arrows, just like yours. Now, let's see what happens if we ignore this very old story: total mess. Why? Because you would then have to choose between two alternatives, 'either ... or', http://members.aon.at/chakalov/Luminet.html The latest example is "The Emergent Universe: An Explicit Construction", by George F.R. Ellis, Jeff Murugan, and Christos G. Tsagas, grqc/0307112 [Ref. 4]. Drop the spacetime singularity, "with all that that entails" [Ibid.], and you're facing a finetuning of the initial conditions that is just absolutely miraculous! Miracles, however, lead to deadend. Or to the New Age of the socalled anthropic principle, http://members.aon.at/chakalov/Carroll.html#PS With the global mode of spacetime, you can 'have your cake and eat it': the universe would have a dual age. Finite, some 13.7B years, in the *local* mode of spacetime, and infinite (indecisive) in the *global* mode of spacetime. I will appreciate your feedback, as well as the critical comments from all your colleagues, from both CC: and BCC: lists. More in my White Paper, http://members.aon.at/chakalov/white_paper.html and in the manuscript "From the Human Brain to Quantum Gravity: Biocausality", http://www.wuwien.ac.at/usr/h99b/h9950137/PHI/Brain_QG.zip Possible practical applications are briefly mentioned in http://members.aon.at/chakalov/rolexawardsapplications1443.pdf Kindest regards, Dimi Chakalov
References [Ref. 1] Merced Montesinos, The double role of Einstein's equations: as equations of motion and as vanishing energymomentum tensor, grqc/0311001 v1, 31 October 2003. Comments: 7 pages, no figures, latex file. Contribution to the meeting in honor of Plebanski. Any comments on this issue are welcome "'Anybody who looks for a magic formula for "local gravitational energymomentum" is looking for the right answer to the wrong question' is, for instance, a quotation found in page 467 of Ref. [1]. [1] C.W. Misner, K.S. Thorne and J.A. Wheeler, Gravitation
(W. H. Freeman and Company, New York, 1973).
"Therefore, it is conceptually not possible to neglect
gravity effects and thus all observers must conclude that the background
metric is always dynamical and that its effects can not be neglected. Thus,
conceptually, tµv = 0 always. If, by hand (Einstein’s
equivalence principle) the dynamics of the background metric is neglected
then this fact leads to the arising of nonvanishing energymomentum tensor
associated with matter fields only.
"Alternatively, one could say that the vanishing property
of tµv is another manifestation of the socalled ‘the
problem of time’ which, of course, is not a problem but a property of generally
covariant theories."
[Ref. 2] Antoine Suarez, Entanglement and Time, quantph/0311004 v1, 2 November 2003. "The dependence expressed by the term Pr(ab) (or Pr(ba)),
actual though it is, it doesn't correspond to any real temporal ordering,
it doesn't have any observable counterpart."
[10] "There is no way of defining a relativistic proper
time for a quantum system which is spread all over space", A.
Peres, Classical interventions in quantum systems. Relativistic invariance,
eprint quantph/9906034.
[Ref. 3] Antoine Suarez, The Center for
Quantum Philosophy,
"I was strongly convinced that it should be possible to
give a timeordered causal explanation of nonlocal correlations, in terms
of "before" and "after".
"On Friday, the 22nd of June 2001 in the morning, I was
in Geneva for the Colloquium where André Stefanov presented the
first results he was obtaining. These refuted multisimultaneity, and I
got the impression I was assisting to my burial. (...) On Tuesday the 26th
at 19:15, I suddenly became aware that my confidence in beating quantum
mechanics was the product of a prejudice: I was assuming that causality
always sticks to time. But nothing speaks against the idea of phenomena
being produced by causes that are not bound to the limits of space and
time. I then understood that this is the kind of causality behind the formalism of quantum mechanics."
[Ref. 4] George F.R. Ellis, Jeff Murugan, Christos G. Tsagas, The Emergent Universe: An Explicit Construction, grqc/0307112 v2. "However, the reader will probably by now have noted the large degree of finetuning that went into setting up the initial state from which the universe emerges. Indeed, the emergent model is a very special trajectory in the space of possible inflationary evolutions. We have shown existence of such models, but not that they are probable. "Some may regard this as a deadly blow to these models,
but we believe the case is wide open.
"This may be the real philosophical choice facing us:
to decide which is worse, a spacetime singularity, with all that that
entails, or a fine tuning of initial conditions. (...) Models of the kind
presented here are useful in terms of making clear the alternatives facing
us: we can indeed avoid both a singularity and the quantum gravity regime,
without introducing any exotic physics; but there is a price to pay in
terms of finetuning."
