Time, Finite Statistics, and Bell's Fifth Position
Abstract
I discuss three issues connected to Bell's theorem and Bell-CHSH-type experiments: time and the memory loophole, finite statistics (how wide are the error bars Under Local Realism), and the question of whether a loophole-free experiment is feasible, a surprising omission on Bell's list of four positions to hold in the light of his results. Levy's (1935) theory of martingales, and Fisher's (1935) theory of randomization in experimental design, take care of time and of finite statistics. I exploit a (classical) computer network metaphor for local realism to argue that Bell's conclusions are independent of how one likes to interpret probability, and give a critique of some recent anti-Bellist literature.
Keywords
Cite
@article{arxiv.quant-ph/0301059,
title = {Time, Finite Statistics, and Bell's Fifth Position},
author = {Richard D. Gill},
journal= {arXiv preprint arXiv:quant-ph/0301059},
year = {2015}
}
Comments
28 pages; proceedings of Vaxjo conference (2002) on foundations of QM and probability. Version 2: corrected a LaTeX error (\mathbb 1 did not work)