dorsal/arxiv
View SchemaNon-Kolmogorov probability models and modified Bell's inequality
| Authors | Andrei Khrennikov |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0003017 |
| URL | https://arxiv.org/abs/quant-ph/0003017 |
| DOI | 10.1063/1.533210 |
Abstract
We analyse the proof of Bell's inequality and demonstrate that this inequality is related to one particular model of probability theory, namely Kolmogorov measure-theoretical axiomatics, 1933. We found a (numerical) statistical correction to Bell's inequality. Such an additional term in the right hand side of Bell's inequality can be considered as a probability invariant of a quantum state. This is a measure of nonreproducibility of hidden variables in different runs of experiments. Experiments to verify Bell's inequality can be considered as just experiments to estimate this constant. It seems that Bell's inequality could not be used as a crucial reason to deny local realism. We consider deterministic as well as stochastic hidden variables models.
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"abstract": "We analyse the proof of Bell\u0027s inequality and demonstrate that this\ninequality is related to one particular model of probability theory, namely\nKolmogorov measure-theoretical axiomatics, 1933. We found a (numerical)\nstatistical correction to Bell\u0027s inequality. Such an additional term in the\nright hand side of Bell\u0027s inequality can be considered as a probability\ninvariant of a quantum state. This is a measure of nonreproducibility of hidden\nvariables in different runs of experiments. Experiments to verify Bell\u0027s\ninequality can be considered as just experiments to estimate this constant. It\nseems that Bell\u0027s inequality could not be used as a crucial reason to deny\nlocal realism. We consider deterministic as well as stochastic hidden variables\nmodels.",
"arxiv_id": "quant-ph/0003017",
"authors": [
"Andrei Khrennikov"
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"doi": "10.1063/1.533210",
"title": "Non-Kolmogorov probability models and modified Bell\u0027s inequality",
"url": "https://arxiv.org/abs/quant-ph/0003017"
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