Preprint Article Version 1 This version is not peer-reviewed

Bell Model with Hidden Variables and Bohr Quantum Postulate on the Existence of Indivisible Quantum of Action Given by Planck Constant H.

Version 1 : Received: 18 July 2020 / Approved: 19 July 2020 / Online: 19 July 2020 (15:01:32 CEST)

How to cite: Khrennikov, A. Bell Model with Hidden Variables and Bohr Quantum Postulate on the Existence of Indivisible Quantum of Action Given by Planck Constant H.. Preprints 2020, 2020070413 (doi: 10.20944/preprints202007.0413.v1). Khrennikov, A. Bell Model with Hidden Variables and Bohr Quantum Postulate on the Existence of Indivisible Quantum of Action Given by Planck Constant H.. Preprints 2020, 2020070413 (doi: 10.20944/preprints202007.0413.v1).

Abstract

This note is a part of my efforts for getting rid of nonlocality from quantum mechanics (QM). Quantum nonlocality is two faced Janus, one face is apparent quantum mechanical nonlocality (assigned with projection postulate), another face is nonlocality of Bell's model with the hidden variables. This paper is directed against the latter. The main casualty of Bell's model is that it contradicts to the Heinsenberg's uncertainty and Bohr's complementarity principles. The aim of this note is to point to the physical seed of the aforementioned principles. This is the {\it quantum postulate}: the existence of indivisible quantum of action given by the Planck constant. Bell's model by contradicting to the basic principles of QM implies rejection of this postulate. Thus, it contradicts not only to the QM-formalism, but also to the fundamental feature of the quantum world that was initially discovered by Planck.

Subject Areas

Complementarity and uncertainty principles; indivisible quantum of action; quantum postulate; Copenhagen interpretation; quantum nonlocality; hidden variables

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