Locality problem, Bell's inequalities and EPR experiments

TL;DR

This paper investigates the limitations of Bell's inequalities in hidden-variable theories, emphasizing the importance of spatial and impact parameter considerations in EPR experiments.

Contribution

It demonstrates that Bell's inequalities are difficult to derive when accounting for source position changes and impact parameters of photons in measurement devices.

Findings

Bell's inequalities are not universally applicable when spatial factors are included.

Impact parameters of photons influence measurement outcomes significantly.

Spatial structure and source position affect the derivation of Bell's inequalities.

Abstract

The question has been solved whether Bell's inequalities cover all possible kinds of hidden-variable theories. It has been shown that the given nequalities can be hardly derived when the changing space position of photon-pair source together with the microscopic space structure of measuring devices are taken into account; and when corresponding impact parameters (i.e., exact impact points) of photons in individual measuring devices (polarizers) influence measured values, in addition to usually considered characteristics.