Bell's theorem and Instantaneous influences at a distance

TL;DR

This paper presents a model that simulates EPR experiments without requiring instantaneous influences, revealing logical inconsistencies in Bell's theorem assumptions and offering a way to circumvent them.

Contribution

It introduces a model that challenges the necessity of instantaneous influences in EPR experiments and critiques the topological assumptions underlying Bell's theorem.

Findings

The model simulates EPR experiments without nonlocal influences.

Identifies logical inconsistencies in Bell's theorem assumptions.

Circumvents the traditional Bell inequalities derivation.

Abstract

An explicit model-example is presented to simulate Einstein-Podolsky-Rosen (EPR) experiments without invoking instantaneous influences at a distance. The model-example, together with the interpretation of past experiments by Kwiat and coworkers, uncovers logical inconsistencies in the application of Bell's theorem to actual EPR experiments. The inconsistencies originate from topological-combinatorial assumptions that are both necessary and sufficient to derive all Bell-type inequalities including those of Wigner-d'Espagnat and Clauser-Horne-Shimony-Holt. The model-example circumvents these inconsistencies.