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

TL;DR

This paper explores how Vorob'ev cyclicities and Berry's phase influence the interpretation of Bell inequalities and the EPR paradox, suggesting that gauge symmetries and geometric phases can allow violations of Bell inequalities within causal physics.

Contribution

It introduces a topological and geometric perspective on Bell inequalities, incorporating gauge symmetries and Berry's phase to explain violations within causal physical frameworks.

Findings

Bell inequalities relate to Vorob'ev cyclicities in probability space

Gauge symmetries and Berry's phase affect Bell inequality interpretations

Violations of Bell inequalities can occur within Einstein's causal framework

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.