A possible statistics loophole in Bell's theorem

2024/12/20 by Andrea Aiello, Aiello, Andrea · 2 citations
Mathematics · #Benford’s Law and Fraud Detection #FOS: Physical sciences #General Physics (physics.gen-ph)

paper · pdf · doi:10.48550/arxiv.2412.17857

openalex publication_date 2024/12/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Bell's theorem proves the incompatibility between quantum mechanics and local realistic hidden-variable theories. In this paper we show that, contrary to a common belief, the theoretical proof of Bell's theorem is not affected by counterfactual reasoning. Then, we demonstrate that the experimental verification of this theorem may be affected in an unknowable way by our ignorance about the probability distribution of the hidden variables. Our study is based on the standard theory of random variables, and lays the groundwork for a critical rethinking of Bell's theorem and its consequences.

Cited by

• Generalized measurements for Bell tests in different probability spaces
• Statistical analysis of Bell tests via generalized measurements

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