No probability loophole in the CHSH
Abstract
Geurdes (2014, Results in Physics) outlines a probabilistic construction of a counterexample to Bell's theorem. He gives a procedure to repeatedly sample from a specially constructed "pool" of local hidden variable models (depending on a table of numerically calculated parameters) and select from the results one LHV model, determining a random value S of the usual CHSH combination of four (theoretical) correlation values. He claims Prob(|S| > 2) > 0. We expose a fatal flaw in the analysis: the procedure generates a non-local hidden variable model. To disprove this claim, Geurdes should program his procedure and generate random LHV's till he finds one violating the CHSH inequality.
Cite
@article{arxiv.1506.00223,
title = {No probability loophole in the CHSH},
author = {Richard D. Gill},
journal= {arXiv preprint arXiv:1506.00223},
year = {2022}
}
Comments
version 3: major revision, new analysis, identification of main error