Time, Finite Statistics, and Bell's Fifth Position

Details Time, Finite Statistics, and Bell's Fifth Position Time, Finite Statistics, and Bell's Fifth Position

2003-01-14

arxiv.org/abs/quant-ph/0301059v1

pp. 179-206 in: Proc. of "Foundations of Probability and Physics - 2", Ser. Math. Modelling in Phys., Engin., and Cogn. Sc., v

Physics

Quantum Physics

28 pages; proceedings of Vaxjo conference (2002) on foundations of QM and probability

Scientific paper

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.

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