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The well known inequalities of John S. Bell may be regarded, from a purelymathematical viewpoint, as a direct consequence of Vorob'ev-typetopological-combinatorial cyclicities formed with functions on a commonprobability space. However, the interpretation of these cyclicities becomesmore subtle when considerations related to gauge symmetries andgeometric-combinatorial phases are taken into account. These physics relatedconsiderations permit violations of all Bell-type inequalities within the realmof Einstein's causal physical-mathematics.

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