Christian, Joy (2023) Bell's Theorem Begs the Question. [Preprint]

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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.

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Item Type:	Preprint
Creators:	Creators Email ORCID Christian, Joy jjc@bu.edu 0000-0002-8741-6943
Keywords:	Bell’s theorem, local realism, Bell-CHSH inequalities, quantum correlations, Bell-test experiments, EPR paradox
Subjects:	Specific Sciences > Physics Specific Sciences > Physics > Quantum Mechanics
Depositing User:	Dr. Joy Christian
Date Deposited:	28 Mar 2023 17:10
Last Modified:	28 Mar 2023 17:10
Item ID:	21942
Official URL:	https://doi.org/10.48550/arXiv.2302.09519
DOI or Unique Handle:	10.48550/arXiv.2302.09519
Subjects:	Specific Sciences > Physics Specific Sciences > Physics > Quantum Mechanics
Date:	27 March 2023
URI:	https://philsci-archive.pitt.edu/id/eprint/21942

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