dorsal/arxiv
View SchemaLocal realist (but contextual) derivation of the EPR-Bohm correlations
| Authors | Andrei Khrennikov |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0211073 |
| URL | https://arxiv.org/abs/quant-ph/0211073 |
Abstract
The probabilistic structure of quantum mechanics is investigated in the frequency framework. Such an approach can be interpreted as a contextual approach to quantum probabilities. By using rather complicated frequency calculations we reproduce the EPR-Bohm correlation function which is typically derived by using the calculus of probabilities in a Hilbert space. Our frequency probabilistic model of the EPR-Bohm experiment is a realist model -- physical observables are considered as objective properties of physical systems. It is also local -- a measurement over one part of a composite system does not disturb another part of this system. Nevertheless, our result does not contradict to the well known Bell's ``NO-GO'' theorem. J. Bell used the conventional (Kolmogorov) measure-theoretical approach. We use the frequency approach. In the latter approach there are no reasons to assume that the simultaneous probability distribution exists: corresponding frequencies may fluctuate and not approach any definite limit (which Bell would like to use as the probability). The frequency probabilistic derivation demonstrated that incompatibility of observables under consideration plays the crucial role in producing of the EPR-Bohm correlations.
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"abstract": "The probabilistic structure of quantum mechanics is investigated in the\nfrequency framework. Such an approach can be interpreted as a contextual\napproach to quantum probabilities. By using rather complicated frequency\ncalculations we reproduce the EPR-Bohm correlation function which is typically\nderived by using the calculus of probabilities in a Hilbert space. Our\nfrequency probabilistic model of the EPR-Bohm experiment is a realist model --\nphysical observables are considered as objective properties of physical\nsystems. It is also local -- a measurement over one part of a composite system\ndoes not disturb another part of this system. Nevertheless, our result does not\ncontradict to the well known Bell\u0027s ``NO-GO\u0027\u0027 theorem. J. Bell used the\nconventional (Kolmogorov) measure-theoretical approach. We use the frequency\napproach. In the latter approach there are no reasons to assume that the\nsimultaneous probability distribution exists: corresponding frequencies may\nfluctuate and not approach any definite limit (which Bell would like to use as\nthe probability). The frequency probabilistic derivation demonstrated that\nincompatibility of observables under consideration plays the crucial role in\nproducing of the EPR-Bohm correlations.",
"arxiv_id": "quant-ph/0211073",
"authors": [
"Andrei Khrennikov"
],
"categories": [
"quant-ph"
],
"title": "Local realist (but contextual) derivation of the EPR-Bohm correlations",
"url": "https://arxiv.org/abs/quant-ph/0211073"
},
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