Whither All the Scope and Generality of Bell's Theorem?
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 at best and bring out a number of misconceptions and unwarranted assumptions in his imitation of my model, as it relates to Bell-CHSH inequalities.
Keywords
Cite
@article{arxiv.1301.1653,
title = {Whither All the Scope and Generality of Bell's Theorem?},
author = {Joy Christian},
journal= {arXiv preprint arXiv:1301.1653},
year = {2013}
}
Comments
26 pages; A second appendix detailing another 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). arXiv admin note: substantial text overlap with arXiv:1211.0784