On the roles of Vorob'ev cyclicities and Berry's phase in the EPR paradox and Bell-tests

David H. Oaknin; Karl Hess

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arXiv · 2008.02633

On the roles of Vorob'ev cyclicities and Berry's phase in the EPR paradox and Bell-tests

David H. Oaknin·Karl Hess

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Abstract

The well known inequalities of John S. Bell may be regarded, from a purely mathematical viewpoint, as a direct consequence of Vorob'ev-type topological-combinatorial cyclicities formed with functions on a common probability space. However, the interpretation of these cyclicities becomes more subtle when considerations related to gauge symmetries and geometric-combinatorial phases are taken into account. These physics related considerations permit violations of all Bell-type inequalities within the realm of Einstein's causal physical-mathematics.

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David H. Oaknin, Karl Hess. 2020-08-04. On the roles of Vorob'ev cyclicities and Berry's phase in the EPR paradox and Bell-tests. https://arxiv.org/abs/2008.02633

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