dorsal/arxiv
View SchemaDoes Bell's theorem apply if perceived pseudo-Euclidean space is emergent?
| Authors | Bart Jongejan |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0105020 |
| URL | https://arxiv.org/abs/quant-ph/0105020 |
| License | http://creativecommons.org/licenses/by-sa/4.0/ |
Abstract
Einstein, Podolsky and Rosen (EPR) showed that it is possible to predict with certainty the value of a property without disturbing the object in question. In contrast, Quantum Mechanics (QM) holds that if different measurement setups cannot coexist, then predictions about those can neither. Using an EPR-inspired experiment with distantly separated measurements on pairs of entangled spinning particles, Bell proved that no local hidden variable (HV) theory can describe reality in more detail than QM. However, it is possible to conceive a viable HV theory based on the assumption that the perceived structure of spacetime is emergent from a hidden curved spacetime. According to this theory, locality can be maintained for each of the measurements while what is perceived as non-locality can be ascribed to the emergence of spacetime correlations between the instruments of the two parties. The theory predicts correlations that agree with QM, provided that the hidden spacetime has three spatial dimensions. If it had fewer than three dimensions, the CHSH inequality would not be violated and if more, Tsirelson's bound would be violated. According to this HV theory, the laboratory frame of reference is a corollary of correlations of the type that are the subject of Bell's thought experiment.
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"abstract": "Einstein, Podolsky and Rosen (EPR) showed that it is possible to predict with\ncertainty the value of a property without disturbing the object in question. In\ncontrast, Quantum Mechanics (QM) holds that if different measurement setups\ncannot coexist, then predictions about those can neither. Using an EPR-inspired\nexperiment with distantly separated measurements on pairs of entangled spinning\nparticles, Bell proved that no local hidden variable (HV) theory can describe\nreality in more detail than QM. However, it is possible to conceive a viable HV\ntheory based on the assumption that the perceived structure of spacetime is\nemergent from a hidden curved spacetime. According to this theory, locality can\nbe maintained for each of the measurements while what is perceived as\nnon-locality can be ascribed to the emergence of spacetime correlations between\nthe instruments of the two parties. The theory predicts correlations that agree\nwith QM, provided that the hidden spacetime has three spatial dimensions. If it\nhad fewer than three dimensions, the CHSH inequality would not be violated and\nif more, Tsirelson\u0027s bound would be violated. According to this HV theory, the\nlaboratory frame of reference is a corollary of correlations of the type that\nare the subject of Bell\u0027s thought experiment.",
"arxiv_id": "quant-ph/0105020",
"authors": [
"Bart Jongejan"
],
"categories": [
"quant-ph"
],
"license": "http://creativecommons.org/licenses/by-sa/4.0/",
"title": "Does Bell\u0027s theorem apply if perceived pseudo-Euclidean space is emergent?",
"url": "https://arxiv.org/abs/quant-ph/0105020"
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