Reproducing EPR correlations without superluminal signalling: backward conditional probabilities and Statistical Independence

TL;DR

This paper introduces a novel approach using backward-in-time conditional probabilities to model EPR correlations, maintaining statistical independence and preventing superluminal signaling, challenging traditional interpretations of Bell's theorem.

Contribution

It proposes a new model that relaxes temporal ordering assumptions while preserving statistical independence, successfully reproducing quantum correlations without superluminal communication.

Findings

Models reproduce EPR/Bell correlations without superluminal signaling

Backward-in-time probabilities relax temporal assumptions

Statistical Independence is maintained as a fine-tuning condition

Abstract

Bell's theorem states that no model that respects Local Causality and Statistical Independence can account for the correlations predicted by quantum mechanics via entangled states. This paper proposes a new approach, using backward-in-time conditional probabilities, which relaxes conventional assumptions of temporal ordering while preserving Statistical Independence as a "fine-tuning condition. It is shown how such models can account for EPR/Bell correlations and, analogously, the GHZ predictions while nevertheless forbidding superluminal signalling.