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FQXi FORUM
CATEGORY: Article Discussions
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TOPIC: High Fidelity
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Alternative approaches to quantization of time are seldom discussed in modern scientific literature. I would like to offer a subject for discussion at your Web site, which might be interesting.
Let us confine ourselves to the assumption that time is a phenomenon and factor of variability.
Any object ages. This provision is fixed in the second low of thermodynamics. Naturally, this law is based on statistical categories and has no formal basis at the quantum level.
However, the increment of entropy is somehow or other connected with quantum processes. It is possible to make an attempt to examine the transition of the object from one (quantium) state to a subsequent one.
It is interesting to view the application of this task in relation to the microcosm. The idea is that the wave function gets rearranged at the moment of reduction only. While the wave function remain the same, it is possible to consider the microparticle’s intrinsic time as suspended, the particle “does not age” in this time interval.
This hypothesis makes it possible to handle the phenomenon of time and gravitation quantization. If we deem the reduction as an “event”, then we may assume that quantization take place according to the following scheme: event - space -next event - other space configuration, etc. The self local time of quantum object is considered, it is logical to assume, that to it there corresponds self local spatial configuration.
This model enables us to view the difficulties of quantum mechanics from a quite unusual point of view. I believe that the puzzle of the so-called “Action at a distance” is concluding in the quantization of gravitation. In EPR paradox, a pair of microparticles that are separated in space will be correlated only till their space-time continuum undergoes changes. Meanwhile their intrinsic time “is suspended”.
The interpretation of the Dirac equation with reference to this model was offered. An assumption was made stating that such approach makes it possible to reveal the uniform mechanism for realization of “the time arrow” and the increasing entropy.
The similar approach has offered Yu. S. Vladimirov (the Moscow State university) in papers about binary systems of complex relations. Its theory offers an expedient of the description of microparticles at transition from one quantum state to the following, without use of the aprioristic space and time. Thus, the stream of time and space arise only at a macroscopical level as effect of numerous quantum transitions.
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Unfortunately, the previous report has a clumsy typing error.
Certainly, Kaluza considered gravitation and electrodynamics, no thermodynamics.
I’m sorry. Your notes can be correspond to the address: asilin@list.ru
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I think the work of John Stachel in uncovering "The Other Einstein," who "plagued" himself with doubts about the reality of the continuum, way back at the beginning of the 20th century, is important to recognize in this discussion.
Einstein's problem was the "too great" information of the continuum, as he discussed with his former student, Walter Dallenbach, in a letter dated sometime in 1916.
"You have correctly grasped the drawback that the continuum brings," writes Einstein (as translated by Stachel). "If the molecular view of matter is the correct (appropriate) one; i.e. if a part of the universe is to be represented by a finite number of moving points, then the continuum of the present theory has too great a manifold of possibilities. I also believe that this 'too great' is responsible for the fact that our present means of description miscarry with the quantum theory. The problem seems [to me] to be how one can formulate statements about a discontinuum without calling upon a continuum (space-time) as an aid. The latter should be banned from the theory, as a supplementary construction, not justified by the essence of the problem, [a construction] which corresponds to nothing 'real.' But we still lack the mathematical structure unfortunately. How much have I already plagued myself in this way!"
Of course, the point that must be made is that the subsequent development of the wave equation does nothing to ameliorate this problem. The schizophrenic foundations of quantum theory still plague us.
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Really, this drawback of the theory.
Moreover, quantization of gravitation by the offered method has "Action at a distance". The problem of Ernst Mach is appear - the instantaneous influence of the long-distance neighbourhoods of the Universe.
It is possible to consider two ways of the solution of this problem.
1) Vladimirov considers influence of all other microparticles of a measuring device (all microparticles of a surrounding medium). The basis of this method has been made by Fokker, and added by Feynman and Wheeler in the theory "Interaction with the absorber as the mechanism of radiation", 1945.
2) It is possible to consider only those particles, which influence from the point of view of the entropy process. I.e. return to a problem about radiation of black body. There is a difficulty: appear a gravitation depends on a entropy. However, thus we should consider only the open systems.
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