dorsal/arxiv
View SchemaBell's Theorem: A Critique
| Authors | Michael Clover |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0502016 |
| URL | https://arxiv.org/abs/quant-ph/0502016 |
Abstract
By implicitly assuming that all possible Bell-measurements occur simultaneously, all proofs of Bell's Theorem violate Heisenberg's Uncertainty Principle. This assumption is made in the original form of Bell's inequality, in Wigner's probability inequalities, and in the ``nonlocality without inequalities'' arguments. The introduction of time into derivations of these variants of Bell's theorem results in extra terms related to the time order of the measurements used in constructing correlation coefficients. Since the same locality assumptions are made in the Heisenberg-compliant derivations of this paper, only time-independent classical local hidden variable theories are forbidden by violations of the original Bell inequalities; time-dependent quantum local hidden variable theories can satisfy this new bound and agree with experiment. We further point out that factorizable wavefunctions have been used to describe some EPR experiments and can be used to describe others. These will generate local de Broglie-Bohm trajectories in the description of the data. This second, independent, line of argument also shows that violation of Bell's inequality is only evidence that Heisenberg's Uncertainty Principle cannot be ignored.
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"abstract": "By implicitly assuming that all possible Bell-measurements occur\nsimultaneously, all proofs of Bell\u0027s Theorem violate Heisenberg\u0027s Uncertainty\nPrinciple. This assumption is made in the original form of Bell\u0027s inequality,\nin Wigner\u0027s probability inequalities, and in the ``nonlocality without\ninequalities\u0027\u0027 arguments. The introduction of time into derivations of these\nvariants of Bell\u0027s theorem results in extra terms related to the time order of\nthe measurements used in constructing correlation coefficients. Since the same\nlocality assumptions are made in the Heisenberg-compliant derivations of this\npaper, only time-independent classical local hidden variable theories are\nforbidden by violations of the original Bell inequalities; time-dependent\nquantum local hidden variable theories can satisfy this new bound and agree\nwith experiment. We further point out that factorizable wavefunctions have been\nused to describe some EPR experiments and can be used to describe others. These\nwill generate local de Broglie-Bohm trajectories in the description of the\ndata. This second, independent, line of argument also shows that violation of\nBell\u0027s inequality is only evidence that Heisenberg\u0027s Uncertainty Principle\ncannot be ignored.",
"arxiv_id": "quant-ph/0502016",
"authors": [
"Michael Clover"
],
"categories": [
"quant-ph"
],
"title": "Bell\u0027s Theorem: A Critique",
"url": "https://arxiv.org/abs/quant-ph/0502016"
},
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