dorsal/arxiv
View SchemaBuonomano against Bell: Nonergodicity or nonlocality?
| Authors | Andrei Khrennikov |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0512178 |
| URL | https://arxiv.org/abs/quant-ph/0512178 |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
The aim of this note is to attract attention of the quantum foundational community to the fact that in Bell's arguments one can not distinguish two hypotheses: a) quantum mechanics is {\it nonlocal}, b) quantum mechanics is {\it nonergodic.} Therefore experimental violations of Bell's inequality can be as well interpreted as supporting the hypothesis that stochastic processes induced by quantum measurements are nonergodic. The latter hypothesis was discussed actively by Buonomano since 1980th. However, in contrast to Bell's hypothesis on nonlocality it did not attract so much attention. The only experiment testing the hypothesis on nonergodicity was performed in neutron interferometry (by Summhammer, in 1989). This experiment can be considered as rejecting this hypothesis. However, it cannot be considered as a decisive experiment. New experiments are badly needed. We point out that a nonergodic model can be realistic, i.e., the distribution of hidden (local!) variables is well defined. We also discuss coupling of violation of the Bell inequality with violation of the condition of weak mixing for ergodic dynamical systems.
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"abstract": "The aim of this note is to attract attention of the quantum foundational\ncommunity to the fact that in Bell\u0027s arguments one can not distinguish two\nhypotheses: a) quantum mechanics is {\\it nonlocal}, b) quantum mechanics is\n{\\it nonergodic.} Therefore experimental violations of Bell\u0027s inequality can be\nas well interpreted as supporting the hypothesis that stochastic processes\ninduced by quantum measurements are nonergodic. The latter hypothesis was\ndiscussed actively by Buonomano since 1980th. However, in contrast to Bell\u0027s\nhypothesis on nonlocality it did not attract so much attention. The only\nexperiment testing the hypothesis on nonergodicity was performed in neutron\ninterferometry (by Summhammer, in 1989). This experiment can be considered as\nrejecting this hypothesis. However, it cannot be considered as a decisive\nexperiment. New experiments are badly needed. We point out that a nonergodic\nmodel can be realistic, i.e., the distribution of hidden (local!) variables is\nwell defined. We also discuss coupling of violation of the Bell inequality with\nviolation of the condition of weak mixing for ergodic dynamical systems.",
"arxiv_id": "quant-ph/0512178",
"authors": [
"Andrei Khrennikov"
],
"categories": [
"quant-ph"
],
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "Buonomano against Bell: Nonergodicity or nonlocality?",
"url": "https://arxiv.org/abs/quant-ph/0512178"
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