Preprint Article Version 10 Preserved in Portico This version is not peer-reviewed

Bell's Theorem Begs the Question

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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.v10 Christian, J. Bell's Theorem Begs the Question. Preprints 2023, 2023010023. https://doi.org/10.20944/preprints202301.0023.v10

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

Comments (1)

Comment 1
Received: 9 May 2023
Commenter: Joy Christian
Commenter's Conflict of Interests: Author
Comment: Minor improvements are made.
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