Christian, Joy (2013) Whither All the Scope and Generality of Bell's Theorem? [Preprint]

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Abstract

In a recent paper James Owen Weatherall has attempted a simple local-deterministic model for the EPR-Bohm correlation and speculated about why his model fails when my counterexample to Bell's theorem succeeds. Here I bring out the physical, mathematical, and conceptual reasons why his model fails. In particular, I demonstrate why no model based on a tensor representation of the rotation group SU(2) can reproduce the EPR-Bohm correlation. I demonstrate this by calculating the correlation explicitly between measurement results A = +1 or -1 and B = +1 or -1 in a local and deterministic model respecting the spinor representation of SU(2). I conclude by showing how Weatherall's reading of my model is misguided, and bring out a number of misconceptions and unwarranted assumptions in his imitation of my model as it relates to the Bell-CHSH inequalities.

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Item Type:	Preprint
Creators:	Creators Email ORCID Christian, Joy joy.christian@wolfson.ox.ac.uk
Additional Information:	Appendix detailing an explicit computer simulation of the EPR-Bohm correlation is added. To appear in the second edition of Disproof of Bell's Theorem: Illuminating the Illusion of Entanglement (BrownWalker Press, Boca Raton, Florida).
Keywords:	Bell's theorem, EPR Argument, Local Realism, Local Causality, Quantum Mechanics, Determinism, Topologies of Rotation Groups, 3-sphere
Subjects:	Specific Sciences > Physics > Quantum Mechanics
Depositing User:	Dr. Joy Christian
Date Deposited:	05 Sep 2013 11:47
Last Modified:	15 Oct 2013 12:43
Item ID:	9982
Subjects:	Specific Sciences > Physics > Quantum Mechanics
Date:	5 September 2013
URI:	https://philsci-archive.pitt.edu/id/eprint/9982

Available Versions of this Item

• Whither All the Scope and Generality of Bell's Theorem? (deposited 07 Jan 2013 02:23)
  • Whither All the Scope and Generality of Bell's Theorem? (deposited 29 Mar 2013 13:39)
    • Whither All the Scope and Generality of Bell's Theorem? (deposited 23 Aug 2013 13:44)
      • Whither All the Scope and Generality of Bell's Theorem? (deposited 05 Sep 2013 11:47) [Currently Displayed]
        • Whither All the Scope and Generality of Bell's Theorem? (deposited 15 Oct 2013 12:43)
          • Whither All the Scope and Generality of Bell's Theorem? (deposited 15 Nov 2013 13:52)

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