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Version 9
Preserved in Portico This version is not peer-reviewed
Bell's Theorem Begs the Question
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Version 13 : Received: 22 September 2023 / Approved: 22 September 2023 / Online: 25 September 2023 (04:03:31 CEST)
Version 14 : Received: 28 November 2023 / Approved: 28 November 2023 / Online: 28 November 2023 (10:12:21 CET)
Version 15 : Received: 26 December 2023 / Approved: 27 December 2023 / Online: 27 December 2023 (04:58:31 CET)
Version 16 : Received: 25 January 2024 / Approved: 25 January 2024 / Online: 26 January 2024 (01:57:51 CET)
Version 17 : Received: 10 February 2024 / Approved: 12 February 2024 / Online: 12 February 2024 (14:54:15 CET)
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How to cite: Christian, J. Bell's Theorem Begs the Question. Preprints 2023, 2023010023. https://doi.org/10.20944/preprints202301.0023.v9 Christian, J. Bell's Theorem Begs the Question. Preprints 2023, 2023010023. https://doi.org/10.20944/preprints202301.0023.v9
Abstract
I demonstrate that Bell's theorem is based on circular reasoning and thus a fundamentally flawed argument. It unjustifiably assumes the additivity of expectation values for dispersion-free states of contextual hidden variable theories for non-commuting observables involved in Bell-test experiments, which is tautologous to assuming the bounds of ±2 on the Bell-CHSH sum of expectation values. Its premises thus assume in a different guise the bounds of ±2 it sets out to prove. Once this oversight is ameliorated from Bell's argument, the bounds on the Bell-CHSH sum of expectation values work out to be ±2√2 instead of ±2, thereby mitigating the conclusion of Bell's theorem. Consequently, what is ruled out by the Bell-test experiments is not local realism but the additivity of expectation values, which does not hold for non-commuting observables in any hidden variable theories to begin with.
Keywords
Bell’s theorem; local realism; Bell-CHSH inequalities; quantum correlations; Bell-test experimentsexperiments
Subject
Physical Sciences, Quantum Science and Technology
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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