Christian, Joy (2024) Bell's Theorem Begs the Question. [Preprint]
This is the latest version of this item.
Text
Bell Begs arXiv.pdf Download (496kB) 
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 by identifying the impediment that leads to it and local realism is implemented correctly, 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 any of the Belltest experiments is not local realism but the linear additivity of expectation values, which does not hold for noncommuting observables in any hidden variable theories to begin with. I also identify similar oversight in the GHZ variant of Bell’s theorem, invalidating its claim of having found an inconsistency in the premisses of the argument by EPR for completing quantum mechanics. Conceptually, the oversight in both Bell's theorem and its GHZ variant traces back to the oversight in von Neumann's theorem against hidden variable theories identified by Grete Hermann in the 1930s.
Export/Citation:  EndNote  BibTeX  Dublin Core  ASCII/Text Citation (Chicago)  HTML Citation  OpenURL 
Social Networking: 
Item Type:  Preprint  

Creators: 


Keywords:  Bell's theorem, local realism, BellCHSH inequalities, quantum correlations, Belltest experiments, EPR paradox  
Subjects:  Specific Sciences > Physics Specific Sciences > Physics > Quantum Mechanics 

Depositing User:  Dr. Joy Christian  
Date Deposited:  29 Aug 2024 05:04  
Last Modified:  29 Aug 2024 05:04  
Item ID:  23850  
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:  26 August 2024  
URI:  https://philsciarchive.pitt.edu/id/eprint/23850 
Available Versions of this Item

Bell's Theorem Begs the Question. (deposited 04 Feb 2023 14:55)

Bell's Theorem Begs the Question. (deposited 23 Feb 2023 01:48)

Bell's Theorem Begs the Question. (deposited 28 Mar 2023 17:10)

Bell's Theorem Begs the Question. (deposited 09 May 2023 12:47)

Bell's Theorem Begs the Question. (deposited 13 Jun 2023 12:48)

Bell's Theorem Begs the Question. (deposited 02 Aug 2023 14:26)

Bell's Theorem Begs the Question. (deposited 27 Sep 2023 03:13)

Bell's Theorem Begs the Question. (deposited 29 Jan 2024 16:23)

Bell's Theorem Begs the Question. (deposited 03 Aug 2024 15:38)
 Bell's Theorem Begs the Question. (deposited 29 Aug 2024 05:04) [Currently Displayed]

Bell's Theorem Begs the Question. (deposited 03 Aug 2024 15:38)

Bell's Theorem Begs the Question. (deposited 29 Jan 2024 16:23)

Bell's Theorem Begs the Question. (deposited 27 Sep 2023 03:13)

Bell's Theorem Begs the Question. (deposited 02 Aug 2023 14:26)

Bell's Theorem Begs the Question. (deposited 13 Jun 2023 12:48)

Bell's Theorem Begs the Question. (deposited 09 May 2023 12:47)

Bell's Theorem Begs the Question. (deposited 28 Mar 2023 17:10)

Bell's Theorem Begs the Question. (deposited 23 Feb 2023 01:48)
Monthly Views for the past 3 years
Monthly Downloads for the past 3 years
Plum Analytics
Altmetric.com
Actions (login required)
View Item 