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

• URL: http://arxiv.org/abs/2501.11064v2
• Date: Thu, 13 Feb 2025 10:14:00 GMT
• Title: Reproducing EPR correlations without superluminal signalling: backward conditional probabilities and Statistical Independence
• Authors: Simon Friederich,
• Abstract summary: Bell's theorem states that no model that respects Local Causality and Statistical Independence can account for 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.
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• 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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