Dear Alex,

I'm reading your recent paper [Ref. 1] with great interest. You've suggested a way to "eliminate both the indeterminacy and the lack of information inherent in quantum-mechanical description", by embedding a dissipation "device" responsible for the loss of information in classical mechanics.

It looks to me that some sort of "information loss" could be the crux of the Schrödinger's cat paradox as well, as known since 1935,

http://God-does-not-play-dice.net/Corbett.html#2

Would you please elaborate on Schrödinger's cat as "fuzzy object"?

I'm also wondering what could be the end result (if any) from some simple case of gravitational collapse, say, a Schwarzchild "black hole". Can you sustain an event horizon, or would it be some "fuzzy object" as well? See also Petr Hajicek,

http://God-does-not-play-dice.net/Rosinger.html#2

In general, what can or might be expected from your approach for elucidating the Quantum Einstein's equations [Ref. 2, p. 103; see also p. 78], if we do not have any of the notions of 'time' or 'evolution' from classical mechanics,

http://God-does-not-play-dice.net/Schwarz.html#2

Best regards,

Dimi
--
Dimi Chakalov
35 Sutherland St
London SW1V 4JU, UK
http://God-does-not-play-dice.net

Reference

[Ref. 1] Alex Granik, Schroedinger revisited: How the time-dependent wave equation follows from the Hamilton-Jacobi equation, quant-ph/0409018 v1

"Interestingly enough, the introduction of the information loss (in a
form of small perturbations)^1 is compatible with fractalization of the
deterministically defined classical path (one-dimensional curve) which
degenerates into a quantum path, whose Hausdorff dimension is 2 [7, 8].
--
[7] L.F. Abbott and M.B. Wise, Am. J. Phys 49, 37 (1981)
[8] A. Granik and G. Chapline, Phys. Lett. A 310, 252 (2003)
...

"It is based on the recent suggestion by 't Hooft [2] about establishing
the physical link between classical and quantum world by employing the underlying equations of classical mechanics and including into them a specially chosen dissipative function. Such an approach proves to be truly effective. It has allowed to eliminate both the indeterminacy and the lack of information inherent in quantum-mechanical description. It has turned out that the latter is due to the information loss similar to the loss of knowledge of an initial velocity of a solid body falling for a long time in a viscous medium under the action of gravity.

"As a result, the wave-like quantum mechanics turns out to follow from the particle-like classical mechanics due to embedding in the latter a dissipation "device" responsible for the loss of information. Indeed, the initial precise information about the classical trajectory of a particle is lost in quantum mechanics owing to the "dissipative spread" of the trajectory and its transformation into a fuzzy object such as the fractal Hausdorff path of dimension 2 in a simple case of a spinless particle.
...

"(...) the initial precise information about the classical trajectory of a particle is lost in quantum mechanics owing to the "dissipative spread" of the trajectory and its transformation into a fuzzy object such as the fractal Hausdorff path of dimension 2 in a simple case of a spinless particle."
 

[Ref. 2] Abhay Ashtekar and Jerzy Lewandowski, Background Independent Quantum Gravity: A Status Report, gr-qc/0404018 v2

p. 78: "As in the full quantum theory, we do not have a background space-time, hence no natural notion of 'time' or 'evolution'. However, since each  <l|  is an eigenbra of the volume operator, it tells us how the matter wave function is correlated with volume, i.e., geometry. Now, if one wishes, one can regard  p  as providing a heuristic 'notion of time', and then think of (7.31) as an evolution equation for the quantum state of matter with respect to this time."
 
 

===
Subject: Re: Night thoughts
Date: Fri, 10 May 2002 11:39:29 +0300
From: "Dimiter G. Chakalov" <dchakalov@surfeu.at>
To: Alex Granik <agranik1@attbi.com>
CC: Carlos <czarlosromanov@hotmail.com>,
     Chris Isham <c.isham@ic.ac.uk>, Don N Page <don@Phys.UAlberta.CA>

Dear Alex,

Thank you for sharing with me your opinion on propensities. I suppose you are aware that I meant Popperian propensities

http://members.aon.at/chakalov/PHI.html#Popper

and Margenau's Onta,

http://members.aon.at/chakalov/PHI.html#Margenau

> The propensities belong to the realm , which I think, is outside of
> the realm of physics, understood narrowly. They belong to
> philosophy, which , in the final run, address acquisition of
> information, its processing, and interpretation.

The problem I have with this common viewpoint comes from neuroscience. If there were no propensity-states of the brain, which I include in 'potential reality',

http://members.aon.at/chakalov/dimi.html

to explain the nature of quantum realm,

http://members.aon.at/chakalov/dimi.html#quantum

http://members.aon.at/chakalov/right.html#Note_2 ,

then the brain would be some "information gathering and utilizing system" (Gell-Mann and Hartle) or computer (e.g., S. Hawking, "A Brief History of Time", Bantam Books, 1988, pp. 163-164).

The other possibility which is compatible with your opinion is that of some ghost playing with the computer above your neck, and hence this ghost might exist without/outside the brain and matter in general, as suggested by Andrei Linde at "Anthropic arguments in fundamental physics and cosmology" (Cambridge, 30 August ­ 1 September 2001),

http://physicsweb.org/article/world/14/10/3

I think the first option is Marxist-Leninist garbage,

http://members.aon.at/chakalov/Page.html

while the second is a dull mystical New Age.

If we reject these two options, we will come to what Pauli and Jung have suggested more than fifty years ago,

http://members.aon.at/chakalov/right.html#Pauli

http://members.aon.at/chakalov/PHI.html#trialism

That's all from me.

Best wishes,

Dimi
--
Dimiter G. Chakalov
http://members.aon.at/chakalov
(last update 9 May 2002)

=======

Subject: Night thoughts
Date: Fri, 10 May 2002 02:24:18 +0300
From: "Dimiter G. Chakalov" <dchakalov@surfeu.at>
To: Alex Granik <agranik1@attbi.com>
CC: Carlos Perelman <perelmanc@hotmail.com>

Dear Alex,

> Any further increase of energy is not going to produce ( detect)
> smaller time intervals. f this is the case, then we can identify the
> shortest physically attainable time interval, which might be the
> Planck time interval.

Or it might be just tending asymptotically toward the Planck time interval.

> In general, I think, we always measure only the intervals, and not
> the absolute values, where the latter appear in a math
> representation as a shorthand for the interval.

Yes, we measure changes/increments but not the absolute values. Hence we have the cosmological constant problem, since in this case we have to consider not a change w.r.t. some provisional basis value, but the whole thing. Hence we need to consider a new kind of reality, *potential* reality,

http://members.aon.at/chakalov/right.html#Note_2

If we sum up all "clouds" and other virtual things and calculate the energy density of the vacuum, the discrepancy b/w theory and observation will be enormous. So, we need new physics here.

But where would you keep these propensities? How long could you keep them alive and kicking, ready for actualization, if necessary? In what reference frame would you measure their lifetime?

No need to reply, these are just some 'night thoughts of a mental engineer':-)

Best wishes,

Dimi

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

Subject: White Paper
Date: Thu, 25 Sep 2003 15:52:12 +0300
From: Dimi Chakalov <dchakalov@surfeu.at>
To: ATG <agranik1@comcast.net>
CC: Carlos Castro <czarlosromanov@yahoo.com>

Dear Alex,

Thank you for your prompt reply of Wed, 24 Sep 2003 18:23:17 -0700.

> I think that the assumed "reduction"  of a quantum mechanical
> state to a classical state is not "kosher" at all, even from a pretty
> formal point of view.
>
> Classical ( Newtonian ) mechanics can predict with any accuracy
> ( which is an idealized situation, never observed in nature) future
> states of a system, if we know its state at some moment of time.
> This is , essentially an initial value problem.

I think there is a deep metaphysical quandary here. Classical (Newtonian) mechanics says that there is indeed an *exact* point-like state in the future, but we cannot calculate it *exactly* because we don't know *exactly* the initial parameters and boundary conditions. In other words, in a classical determinism a la Laplace, Mother Nature reduces to Allah (Koran, cf. 58:8; 21:48; and 51:56).

I prefer a genuine indeterminacy and a bit of free will, otherwise all these Jewish layers would have to become car mechanics:-) Can't sue Allah, or can you?

The other issue is a trivial example of a rocket launched at a fixed position on the ground. Suppose that after, say, 2 min you can calculate its precise instantaneous state, and from that state the probability distribution for its future states and past states (plural!) on the ground. The best case to see this, I think, is with a Markovian chain.

But the past state of launching the rocket was point-like, unique, while the future states are smeared over a finite error margin, and cannot be "collapsed". It seems to me that the indeterminacy here is genuine, and suggests some tacit time-asymmetry, which was lost in the time-reversible classical mechanics.

> To think about a transition
> (reduction) of a quantum mechanical state to the respective
> classical state we MUST CONSIDER THE APPROPRIATE
> INITIAL VALUE problem in quantum mechanics. However, if
> you look at all the reduction mechanisms ( going back to
> Copenhagen interpretation), you can see that all of them deal with
> a STATIONARY SCHROEDINGER EQUATION. Thus we
> compare the proverbial apples and oranges.

Thank you very much for this. The whole story in my White Paper is about the nature of time. I suppose if you move into the quantum realm, you'll have to use the global mode of time, which I tried to explain with the allegory of a car in superposition of all colors,

http://members.aon.at/chakalov/white_paper.html

Stay there, and try to alter all your potential "initial states" presented to you as a spectrum of all your possible actions in your potential future. If you choose to be a 'blue car', the car 'per se' will not collapse. It is UNspeakable,

http://members.aon.at/chakalov/Vecchi.html

Next time you choose to be a 'red car'. Same story, the car 'per se' will not collapse.

All this is a very old story, I think it was first introduced in 1946, by Raymond Ruyer's 'potentiel' and 'domaine trans-spatial',

http://members.aon.at/chakalov/chakalov.htm#Ruyer

The great advantage of this purely metaphysical story is that (i) you have free will in your 'domaine trans-spatial', and (ii) your TRAJECTORY in the quantum realm is exactly precisely fixed, in all your instantaneous states, each and every one, along a truly continual line (1-D Euclidean space), one-at-a time.

In what time? The global one, which goes physical (local mode) in each and every *concrete* color of the car 'per se'.

Again, the car 'per se' is UNspeakable, since in keeps all colors in the global mode of time. Your brain is the only thing that can identify it, by a concrete *feeling*. Can't do that with a photographic plate, it will "measure" only one color of the car 'per se', and will inevitably "collapse" it.

Surely the Schrödinger equation must be stationary, since it is based on the time parameter from the classical (Newtonian) mechanics.

> What should be done?

If you ask me, I got it all sorted out, but in purely metaphysical terms.

Replace your free will with the 'chooser' (Pearle) in the quantum world,

http://members.aon.at/chakalov/faq.html#QM

This 'chooser' is 'everything else in the universe'. Ernst Mach would like this, I suppose. Only I can't say anything on the nature of gravity, just some poetry: You can't stir a coffee without disturbing a star.

Any suggestions?

BTW I use the brain as a black box, and don't need quantum gravity, as I tried to explain at the end of my White Paper.

Best wishes,

Dimi
Founder and Director, IAM ;-))
http://members.aon.at/chakalov
http://members.aon.at/chakalov/white_paper.html
 
 

Note: Regarding the poetry above: the reason why the words 'stir a coffee' are linked to the cosmic equator of the universe is the following.

It is well-known that Ernst Mach's theory of gravity is not compatible with Einstein's GR, but it seems to me that his brilliant idea of an absolute frame of the 'rotating bucket' can be implemented here, albeit with some specifications. The 'spin' of all physical bodies in the universe might have a real 3-D component along the local mode of spacetime, and an imaginary component in the global mode of spacetime. Please see the idea of Mário Everaldo de Souza.

It is important to bear in mind that the two modes of spacetime provide a dual age of the universe: finite in the local mode (say, 13.7 billion years "after" time zero), and infinite or rather indecisive in the global mode. By 'the universe' I imply everything that exists in its two modes of spacetime, namely, 'inside-the-universe' coupled to its current Holon valid for one single instant of the physical time, as read by a physical clock (local mode of spacetime).

Hence the puzzle of the cosmic equator boils down to the blueprints from the "rotation" of the universe left on the real, 3-D component (also 'inside-the-universe') of its "spin": these blueprints might imply that the universe has a dual topology in the global mode of spacetime, both closed and open, and leaves a single snapshot of an asymptotically flat universe in each and every instant 'now' from the local mode of spacetime, as I tried to explain to Max Tegmark.

To understand this, please see the example with the topology of brain states in Ulric Neisser's cognitive cycle.

All this might seem too farfetched, but please recall that the absolute/preferred reference frame of the global mode of spacetime is utterly needed for understanding the cosmological constant paradox (Robert Klauber) and the puzzle of those empty waves called gravitational waves: they cannot be registered in the local mode of spacetime, since their real 3-D component is "collapsed" (Angelo Loinger). The bi-directional "talk" between matter and gravity takes place in the global mode of spacetime (Todd Brun), while in the local mode we have a perfect continuum of already-correlated physical states with particular mass, as specified by 'everything else in the universe' -- the ultimate 'chooser' in the quantum world and in the new Machian theory of gravity which we call quantum gravity. In Einstein's GR, "you automatically get the correct grav. contribution to the stress-energy from the Christoffel symbols in the covariant derivatives", as explained eloquently by G. 't Hooft. In the new Machian gravity proposed here, you should calculate the instantaneous gravitational contribution to the stress-energy from 'everything else in the universe'.

Then you may find out whether you really disturb a star by stirring your morning coffee, and what is the feedback from it. Its recoil should be tending asymptotically toward zero, just like we live in an asymptotically flat universe with a cosmological constant tending also toward zero. But we're all connected by our Holon, aren't we?
 

Dimi Chakalov
September 30, 2003, 18:17:45 GMT