dorsal/arxiv
View SchemaTime, Finite Statistics, and Bell's Fifth Position
| Authors | Richard D. Gill |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0301059 |
| URL | https://arxiv.org/abs/quant-ph/0301059 |
| Journal | pp. 179-206 in: Proc. of "Foundations of Probability and Physics - 2", Ser. Math. Modelling in Phys., Engin., and Cogn. Sc., vol. 5/2002, V\"axj\"o Univ. Press, 2003 |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
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.
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"abstract": "I discuss three issues connected to Bell\u0027s theorem and Bell-CHSH-type\nexperiments: time and the memory loophole, finite statistics (how wide are the\nerror bars Under Local Realism), and the question of whether a loophole-free\nexperiment is feasible, a surprising omission on Bell\u0027s list of four positions\nto hold in the light of his results. Levy\u0027s (1935) theory of martingales, and\nFisher\u0027s (1935) theory of randomization in experimental design, take care of\ntime and of finite statistics. I exploit a (classical) computer network\nmetaphor for local realism to argue that Bell\u0027s conclusions are independent of\nhow one likes to interpret probability, and give a critique of some recent\nanti-Bellist literature.",
"arxiv_id": "quant-ph/0301059",
"authors": [
"Richard D. Gill"
],
"categories": [
"quant-ph",
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],
"journal_ref": "pp. 179-206 in: Proc. of \"Foundations of Probability and Physics -\n 2\", Ser. Math. Modelling in Phys., Engin., and Cogn. Sc., vol. 5/2002,\n V\\\"axj\\\"o Univ. Press, 2003",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "Time, Finite Statistics, and Bell\u0027s Fifth Position",
"url": "https://arxiv.org/abs/quant-ph/0301059"
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