Bell Inequalities and Maximally Realistic Causal Quantum Mechanics

TL;DR

This paper explores Bell inequalities within a maximally realistic causal quantum mechanics framework, demonstrating that experiments with elliptic polarizers can also violate Bell's inequalities by the same factor as previous experiments, supported by phase space inequalities.

Contribution

It introduces a construction of a maximally realistic causal quantum mechanics in n-dimensional space and extends Bell inequality violations to experiments with elliptic polarizers.

Findings

Elliptic polarizer experiments can violate Bell's inequalities similarly to plane polarizer experiments.

A construction of maximally realistic causal quantum mechanics in n-dimensional space is summarized.

Phase space Bell inequalities are crucial for understanding these violations.

Abstract

The De Broglie-Bohm (DeBB)\cite{DeBB} Causal Quantum Mechanics played a crucial role in Bell's discovery \cite{Bell1964} that quantum mechanics violates EPR local reality \cite{EPR1935}, and also in Bell's search for an exact quantum mechanics. The experiments of Aspect et al \cite{Aspect1981} confirm quantum correlations between plane polarizations of two photons and violation of Bell's inequalities by a factor $\sqrt 2 $. I prove that similar experiments with elliptic polarizers can also show quantum violations of Bell's inequality by the same factor. I summarize our construction of a maximally realistic causal quantum mechanics in $n-$dimensional configuration space \cite{Roy-Singh1995}. Phase space Bell inequalities and 'Marginal Theorems' \cite{Auberson2002} play a crucial role.