Christian, Joy
(2023)
Bell's Theorem Begs the Question.
[Preprint]
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 dispersionfree states of contextual hidden variable theories for noncommuting observables involved in Belltest experiments, which is tautologous to assuming the bounds of ±2 on the BellCHSH 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 BellCHSH 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 Belltest experiments is not local realism but the additivity of expectation values, which does not hold for noncommuting observables in any hidden variable theories to begin with.
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