# Local realistic interpretation of entangled photon pairs in the Weyl-Wigner formalism

## TL;DR

This paper presents a local realistic interpretation of entangled photon pairs using the Weyl-Wigner formalism, suggesting that local realism can coexist with Bell inequality violations by modeling quantum vacuum fields as real and stochastic.

## Contribution

It introduces a novel local realistic interpretation of entanglement within the Weyl-Wigner framework, challenging the common view that Bell violations refute local realism.

## Key findings

- Local realism can be compatible with Bell inequality violations.
- Quantum vacuum fields can be modeled as real stochastic processes.
- Entanglement arises from correlations between signal and vacuum field fluctuations.

## Abstract

A polarization correlation experiment with two maximally entangled photons created by spontaneous parametric down-conversion is studied in the Weyl-Wigner formalism, that reproduces the quantum predictions. An interpretation is proposed in terms of stochastic processes assuming that the quantum vacuum fields are real. This proves that local realism is compatible with the violation of Bell inequalities, thus rebutting the claim that local realism has been refuted by entangled photon experiments. Entanglement appears as a correlation between fluctuations of a signal field and vacuum fields.