A local scheme accounting for EPR quantum correlations

TL;DR

This paper presents a local model for EPR quantum correlations that reproduces quantum outcomes by using a sphere with a particle and field, avoiding Bell's theorem limitations.

Contribution

It introduces a local hidden variable model incorporating fields that account for measurement non-commutativity, challenging Bell's theorem constraints.

Findings

Reproduces quantum-mechanical outcomes and expectation values.

Models quantum states as equivalence classes of particle-field configurations.

Avoids Bell's theorem limitations by accounting for measurement non-commutativity.

Abstract

A model for two entangled systems in an EPR setting is shown to reproduce the quantum-mechanical outcomes and expectation values. Each system is represented by a small sphere containing a point-like particle embedded in a field. A quantum state appears as an equivalence class of several possible particle-field configurations. Contrarily to Bell-type hidden variables models, the fields account for the non-commutative aspects of the measurements and deny the simultaneous reality of incompatible physical quantities, thereby allowing to escape EPR's "completeness or locality" dilemma.