Bell Inequalities and Pseudo-functional densities

TL;DR

This paper presents a local hidden variable model with a pseudo-functional density that can replicate quantum correlations in EPR-Bohm experiments, challenging Bell's inequality derivations.

Contribution

It introduces a novel local hidden variable model using pseudo-functional densities and Hadamard's finite part to reproduce quantum correlations.

Findings

Reproduces quantum correlations with a local hidden variable model.

Uses Hadamard's finite part to prevent Bell's inequality derivation.

Challenges traditional interpretations of Bell's theorem.

Abstract

A local hidden variable model with pseudo-functional density function restricted to a binary probability event space is demonstrated to be able to reproduce the quantum correlation in an Einstein Podolsky Rosen Bohm and Aharonov type of experiment. In the density function use is made of Hadamard's finite part which disables the possibility to derive Bell's inequality from models with such a type of density function.