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Whither All the Scope and Generality of Bell's Theorem?

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

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Abstract

In a recent preprint 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
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Christian, Joyjoy.christian@wolfson.ox.ac.uk
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: 29 Mar 2013 13:39
Last Modified: 23 Aug 2013 13:44
Item ID: 9653
Subjects: Specific Sciences > Physics > Quantum Mechanics
Date: 28 March 2013
URI: https://philsci-archive.pitt.edu/id/eprint/9653

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