Local probability model for the Bell correlation based on the statistics of chaotic light and non-commutative processes

TL;DR

This paper develops a local probability model for Bell correlations using non-commutative processes with chaotic light, challenging the necessity of non-local hidden variables in quantum mechanics.

Contribution

It introduces a novel local probability framework based on non-commutative operations and chaotic light, providing a local explanation for Bell correlations without hidden variables.

Findings

Reproduces Bell correlations using local non-commutative models

Uses chaotic light to compute joint wave intensity correlations

Achieves quantum probabilities by subtracting photon pair contributions

Abstract

As discussed below, Bell's inequalities and experimental results rule out commutative hidden variable models as a basis for Bell correlations, but not necessarily non-commutative probability models. A local probability model is constructed for Bell correlations based on non-commutative operations involving polarizers. As in the entanglement model, the Bell correlation is obtained from a probability calculus without explicit use of deterministic hidden variables. The probability calculus used is associated with chaotic light. Joint wave intensity correlations at spatially separated polarization analyzers are computed using common information originating at the source. When interpreted as photon count rates, these yield quantum mechanical joint probabilities after the contribution of indeterminate numbers of photon pairs greater than one is subtracted out. The formalism appears to give a local account of Bell correlations.