dorsal/arxiv
View SchemaBell's Theorem and Locality in Space
| Authors | Igor V. Volovich |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0012010 |
| URL | https://arxiv.org/abs/quant-ph/0012010 |
Abstract
Bell's theorem states that some quantum correlations can not be represented by classical correlations of separated random variables. It has been interpreted as incompatibility of the requirement of locality with quantum mechanics. We point out that in fact the space part of the wave function was neglected in the proof of Bell's theorem. However this space part is crucial for considerations of property of locality of quantum system. Actually the space part leads to an extra factor in quantum correlations and as a result the ordinary proof of Bell's theorem fails in this case. We present a criterium of locality in a realist theory of hidden variables. It is argued that predictions of quantum mechanics for Gaussian wave functions can be consistent with Bell's inequalities and hence Einstein's local realism is restored in this case.
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"abstract": "Bell\u0027s theorem states that some quantum correlations can not be represented\nby classical correlations of separated random variables. It has been\ninterpreted as incompatibility of the requirement of locality with quantum\nmechanics. We point out that in fact the space part of the wave function was\nneglected in the proof of Bell\u0027s theorem. However this space part is crucial\nfor considerations of property of locality of quantum system. Actually the\nspace part leads to an extra factor in quantum correlations and as a result the\nordinary proof of Bell\u0027s theorem fails in this case. We present a criterium of\nlocality in a realist theory of hidden variables. It is argued that predictions\nof quantum mechanics for Gaussian wave functions can be consistent with Bell\u0027s\ninequalities and hence Einstein\u0027s local realism is restored in this case.",
"arxiv_id": "quant-ph/0012010",
"authors": [
"Igor V. Volovich"
],
"categories": [
"quant-ph",
"cond-mat.mes-hall",
"hep-th",
"math-ph",
"math.MP"
],
"title": "Bell\u0027s Theorem and Locality in Space",
"url": "https://arxiv.org/abs/quant-ph/0012010"
},
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