The ultimate loophole in Bell’s theorem: The inequality is identically satisfied by data sets composed of ±1′s assuming merely that they exist
Bell’s stated assumptions in deriving his inequality were sufficient conditions. It is shown that a far simpler condition exists for derivation of the inequality: the mere existence of finite data sets regardless of their statistical or deterministic characteristics. When explicitly computing variou...
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De Gruyter
2017-09-01
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| Series: | Open Physics |
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| Online Access: | https://doi.org/10.1515/phys-2017-0066 |
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doaj-a625b7516d814a1a8477dcf7d6e9d15b2021-09-05T13:59:34ZengDe GruyterOpen Physics2391-54712017-09-0115157758510.1515/phys-2017-0066phys-2017-0066The ultimate loophole in Bell’s theorem: The inequality is identically satisfied by data sets composed of ±1′s assuming merely that they existSica Louis0Institute for Quantum Studies, Chapman University, Orange, CA & Burtonsville, MD, 20866, USABell’s stated assumptions in deriving his inequality were sufficient conditions. It is shown that a far simpler condition exists for derivation of the inequality: the mere existence of finite data sets regardless of their statistical or deterministic characteristics. When explicitly computing various quantum correlations, the non-commutation of some observables must be taken into account. The resulting variation in correlations among the observables leads to satisfaction of the Bell inequality. Bell’s mistaken assumption of the same functional form for all correlations is the principal reason for inequality violation. Upon correction of this error, it is no longer necessary to invoke non-locality or non-reality to explain violation of the Bell inequality.https://doi.org/10.1515/phys-2017-0066bell’s theorembell inequalitynon-commutationnon-localityhidden variables03.65.ta |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Sica Louis |
| spellingShingle |
Sica Louis The ultimate loophole in Bell’s theorem: The inequality is identically satisfied by data sets composed of ±1′s assuming merely that they exist Open Physics bell’s theorem bell inequality non-commutation non-locality hidden variables 03.65.ta |
| author_facet |
Sica Louis |
| author_sort |
Sica Louis |
| title |
The ultimate loophole in Bell’s theorem: The inequality is identically satisfied by data sets composed of ±1′s assuming merely that they exist |
| title_short |
The ultimate loophole in Bell’s theorem: The inequality is identically satisfied by data sets composed of ±1′s assuming merely that they exist |
| title_full |
The ultimate loophole in Bell’s theorem: The inequality is identically satisfied by data sets composed of ±1′s assuming merely that they exist |
| title_fullStr |
The ultimate loophole in Bell’s theorem: The inequality is identically satisfied by data sets composed of ±1′s assuming merely that they exist |
| title_full_unstemmed |
The ultimate loophole in Bell’s theorem: The inequality is identically satisfied by data sets composed of ±1′s assuming merely that they exist |
| title_sort |
ultimate loophole in bell’s theorem: the inequality is identically satisfied by data sets composed of ±1′s assuming merely that they exist |
| publisher |
De Gruyter |
| series |
Open Physics |
| issn |
2391-5471 |
| publishDate |
2017-09-01 |
| description |
Bell’s stated assumptions in deriving his inequality were sufficient conditions. It is shown that a far simpler condition exists for derivation of the inequality: the mere existence of finite data sets regardless of their statistical or deterministic characteristics. When explicitly computing various quantum correlations, the non-commutation of some observables must be taken into account. The resulting variation in correlations among the observables leads to satisfaction of the Bell inequality. Bell’s mistaken assumption of the same functional form for all correlations is the principal reason for inequality violation. Upon correction of this error, it is no longer necessary to invoke non-locality or non-reality to explain violation of the Bell inequality. |
| topic |
bell’s theorem bell inequality non-commutation non-locality hidden variables 03.65.ta |
| url |
https://doi.org/10.1515/phys-2017-0066 |
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