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Physical Interpretation of Relativity Theory Proceedings of International Meeting

Once again about Einstein’s realism: the matter waves and Bell’s inequalities from the point of view of the special theory of relativity

Saint-Petersburg, Russia, Iu. Kudriavtcev

Published Dec 1, 2015• 0 citations
Publisher

Abstract

Once again about Einstein's realism: the matter waves and Bell's inequalities from the point of view of the special theory of relativity Kudriavtcev Iu.
DOI
10.18698/2309-7604-2015-1-266-275

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We analyze the premises of recent propositions to test local realism via the Bell inequalities using neutral kaons from $\ensuremath{\Phi}$ resonance decays as entangled Einstein-Podolsky-Rosen pairs. We pay special attention to the derivation of the Bell inequalities, or related expressions, for unstable and oscillating kaon ``quasispin'' states and to the possibility of the actual identification of these states through their associated decay modes. We discuss an indirect method to extract probabilities to find these states by combining experimental information with theoretical input. However, we still find inconsistencies in previous derivations of the Bell inequalities. We show that the identification of the quasispin states via their associated decay mode does not allow the free choice to perform different tests on them, a property which is crucial to establish the validity of any Bell inequality in the context of local realism. In view of this we propose a different kind of Bell inequality in which the free choice or adjustability of the experimental setup is guaranteed. We also show that the proposed inequalities are violated by quantum mechanics.
In the Einstein-Bohr debate, Einstein considered quantum mechanics incomplete and disagreed with Born’s probabilistic interpretation of wave-functions. Observers in the axioms of quantum mechanics also bothered Einstein. Inspired by Einstein, Bell and his followers intended to complete quantum mechanics within the framework of local realism. Regrettably, the deterministic correlation between distant components of a separable system in Einstein’s local-realist description of the world is mistaken for non-locality in the world described by Bell’s theorem, leading to incorrect interpretations of experimental results obtained by testing Bell inequalities. This article introduces a new principle, the general principle of measurements, which is proved as a mathematical theorem and allows quantum mechanics to be completed within the framework of local realism while keeping the formal axiomatic definition of a general Hilbert space unchanged. The completed theory can provide the same probabilistic predictions of empirical results as those provided by the current theory. Using disjunction (“or”) as the logical relation between superposed orthonormal vectors, the completed theory precludes observers in the axioms of the current theory and inexplicable collapses of wave-functions, thus it is intuitively comprehensible and alleviates much difficulty in understanding quantum mechanics. Among various world views, Einstein’s local-realist world view is correct.