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arXiv:0711.3977 · AIP conference proceedings

Hidden-Variable Theory versus Copenhagen Quantum Mechanics

M. V. Lokajíček, B. G. Sidharth, F. Honsell, O. Mansutti, K. R. Sreenivasan, A. De Angelis

Published Jan 1, 2008• 3 citations
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Abstract

The Copenhagen quantum mechanics has been newly analyzed and critical comments introduced already in literature have been gathered. It has been concluded that the hidden‐variable theory should be preferred to the Copenhagen alternative, as well as to the standard model of classical physics. On the basis of given arguments it has been also concluded that the Copenhagen quantum mechanics should be declared as falsified.

DOI
10.1063/1.2947705

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The Copenhagen quantum mechanics has been newly analyzed and critical comments introduced already in literature have been gathered. It has been concluded that the hidden‐variable theory should be preferred to the Copenhagen alternative, as well as to the standard model of classical physics. On the basis of given arguments it has been also concluded that the Copenhagen quantum mechanics should be declared as falsified.
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It has been shown by us recently that Einstein was right in his controversy with Bohr or that the so called hidden-variable theory should be preferred to the Copenhagen quantum mechanics. In the following paper the corresponding arguments will be shortly repeated. The main attention will be then devoted to explaining main differences between these two quantum alternatives, differing in the access to the problem of chance, causality and locality of microscopic objects. The actual meaning of the mentioned hidden variables will be discussed, too, the essence of which remained practically unclear during all past discussions. It will be shown that the theory of hidden variables (or Schroedinger equation alone) is able to represent the properties of the whole known physical reality.
In contribution published in AIP Conference Proceedings, No. 1018 (p. 40-5) some discrepancies in Copenhagen quantum mechanics have been summarized and the arguments have been gathered why in the description of microscopic reality the hidden-variable theory should be preferred. It has been shown, too, that the earlier gap in physical descriptions of the microscopic and macroscopic worlds may be practically removed. All corresponding statements have been based on proofs that have been published earlier and reproduced in the given contribution only partially. In the present paper the whole approach will be explained more systematically. Some important points newly analyzed will be added.
Quantum mechanics has become the rising trend in modern physics and has completely changed people’s views of physics. This essay delves into the once-existing problems underlying quantum mechanics such as the conflict between substantiality and completeness in quantum mechanics and the relationship between causality and observation and analyzes the solutions to the controversies. The Copenhagen Interpretation is widely considered the most orthodox explanation of quantum mechanics; therefore, this paper focuses on the Copenhagen Interpretation and examines how it delicately manages to explain quantum mechanics. It also examines its alternative theories, such as Einstein’s local hidden variable theory, and disproves them with Bell’s inequality and other reasonings. The essay aims to clarify and systematize the historical development of quantum mechanics, showing the current progress of quantum mechanics.
In the contribution published in AIP Conference Proceedings, No. 1018 (p. 40-5) some discrepancies in Copenhagen quantum mechanics have been summarized and arguments have been gathered why in the description of microscopic reality hidden-variable theory should be preferred. It has been shown, too, that the earlier gap in physical descriptions of microscopic and macroscopic worlds has been practically removed. All corresponding statements have been based on proofs that had been published earlier and reproduced in the given contribution only partially. In the present paper the whole approach will be explained more systematically. Some important points newly analyzed will be added.
The two previous papers developed quantum mechanical formalism from classical mechanics and two additional postulates. In the first paper it was also shown that the uncertainty relations possess no ontological validity and only reflect the formalism's limitations. In this paper, a Realist Interpretation of quantum mechanics based on these results is elaborated and compared to the Copenhagen Interpretation. We demonstrate that von Neumann's proof of the impossibility of a hidden variable theory is not correct, independently of Bell's argumentation. A local hidden variable theory is found for non-relativistic quantum mechanics, which is nothing else than newtonian mechanics itself. We prove that Bell's theorem does not imply in a non-locality of quantum mechanics, and also demonstrate that Bohm's theory cannot be considered a true hidden variable theory.