Christian, Joy (2024) 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 by identifying the impediment that leads to it and local realism is implemented correctly, 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 any of the Bell test experiments is not local realism but the linear 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:	29 Jan 2024 16:23
Last Modified:	29 Jan 2024 16:23
Item ID:	23023
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:	24 January 2024
URI:	https://philsci-archive.pitt.edu/id/eprint/23023

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