A non-local linear dynamical system and violation of Bell's inequality

TL;DR

This paper introduces a classical non-local dynamical system that mimics quantum experiments and demonstrates violations of Bell's inequality, highlighting the role of non-locality in such phenomena.

Contribution

It presents a simple classical model that reproduces Bell inequality violations, challenging the notion that such violations are exclusively quantum.

Findings

Violations of Bell's inequality up to 100% observed

Non-locality parameter controls the extent of violation

Model parallels Bohmian mechanics discussions

Abstract

A simple classical non-local dynamical system with random initial conditions and an output projecting the state variable on selected axes has been defined to mimic a two-channel quantum coincidence experiment. Non-locality is introduced by a parameter connecting the initial conditions to the selection of the projection axes. The statistics of the results shows violations up to 100% of the Bell's inequality, in the form of Clauser-Horne- Shimony-Holt (CHSH), strongly depending on the non-locality parameter. Discussions on the parallelism with Bohmian mechanics are given.