InterJournal Complex Systems, 1032
Status: Accepted
Manuscript Number: [1032]
Submission Date: 2004
Chaos as a Bridge between Dewterminism and Probability in Quantum Mechanics
Author(s): Wm. C. McHarris

Subject(s): CX.2

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Abstract:

Ever since the Einstein-Bohr debates about the completeness of quantum mechanics, various physicists (Bohm, de Broglie, i.a.) have tried to reconcile the probabilistic aspects of quantum mechanics with their desire for a fundamentally deterministic view of nature. In so doing, they have toyed with and skirted around ideas that we now know to arise naturally from nonlinear dynamics and chaos [Wm.C. McHarris, J. Opt. B: Quantum Semiclass. Opt. 5, S442 (2003); Chapter in Progress in Quantum Physics Research, Nova Science Publ., to be publ. (2004); and refs. therein]. Not having access to chaos theory, they mostly came up with somewhat contrived “hidden variable” notions such as pilot waves and the theory of the double solution, forced upon them by basically linear formulations. Recently a number of quantum mechanical “imponderables,” such as attaining an exponential decay law for quantum systems of identical particles or reconciling Bell's theorem with classical mechanics, have beem found to have parallel mock-ups or explanations in terms of the novel idea that chaotic effects could possibly be fundamental to quantum mechanics. Perhaps chaos could provide a bridge between the determinism do dear to Einstein’s heart and the probability of the Copenhagen interpretation of quantumn mechanics. And it could achieve this without having to resort to artifices such as hidden variables. Conceivably Einstein and Bohr both could have been right in their interpretations of quantum mechanics. ˇ

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