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Reproducing EPR correlations without superluminal signalling: backward conditional probabilities and Statistical Independence (2501.11064v3)

Published 19 Jan 2025 in quant-ph and physics.hist-ph

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.

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