Local models and EPR quantum correlations

TL;DR

This paper presents a local hidden variables model for EPR correlations that reproduces quantum outcomes by using fields to encode non-commutative measurement aspects, avoiding Bell's theorem constraints.

Contribution

It introduces a novel local model with fields representing quantum states, capturing non-commutativity and resolving EPR's dilemma without abandoning locality.

Findings

Reproduces quantum correlations with local models

Fields encode non-commutative measurement features

Avoids Bell's theorem limitations

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.