dorsal/arxiv
View SchemaLocality in the Everett Interpretation of Heisenberg-Picture Quantum Mechanics
| Authors | Mark A. Rubin |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0103079 |
| URL | https://arxiv.org/abs/quant-ph/0103079 |
| Journal | Found. Phys. Lett. 14 (2001) 301-322 |
Abstract
Bell's theorem depends crucially on counterfactual reasoning, and is mistakenly interpreted as ruling out a local explanation for the correlations which can be observed between the results of measurements performed on spatially-separated quantum systems. But in fact the Everett interpretation of quantum mechanics, in the Heisenberg picture, provides an alternative local explanation for such correlations. Measurement-type interactions lead, not to many worlds but, rather, to many local copies of experimental systems and the observers who measure their properties. Transformations of the Heisenberg-picture operators corresponding to the properties of these systems and observers, induced by measurement interactions, "label" each copy and provide the mechanism which, e.g., ensures that each copy of one of the observers in an EPRB or GHZM experiment will only interact with the "correct" copy of the other observer(s). The conceptual problem of nonlocality is thus replaced with a conceptual problem of proliferating labels, as correlated systems and observers undergo measurement-type interactions with newly-encountered objects and instruments; it is suggested that this problem may be resolved by considering quantum field theory rather than the quantum mechanics of particles.
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"abstract": "Bell\u0027s theorem depends crucially on counterfactual reasoning, and is\nmistakenly interpreted as ruling out a local explanation for the correlations\nwhich can be observed between the results of measurements performed on\nspatially-separated quantum systems. But in fact the Everett interpretation of\nquantum mechanics, in the Heisenberg picture, provides an alternative local\nexplanation for such correlations. Measurement-type interactions lead, not to\nmany worlds but, rather, to many local copies of experimental systems and the\nobservers who measure their properties. Transformations of the\nHeisenberg-picture operators corresponding to the properties of these systems\nand observers, induced by measurement interactions, \"label\" each copy and\nprovide the mechanism which, e.g., ensures that each copy of one of the\nobservers in an EPRB or GHZM experiment will only interact with the \"correct\"\ncopy of the other observer(s). The conceptual problem of nonlocality is thus\nreplaced with a conceptual problem of proliferating labels, as correlated\nsystems and observers undergo measurement-type interactions with\nnewly-encountered objects and instruments; it is suggested that this problem\nmay be resolved by considering quantum field theory rather than the quantum\nmechanics of particles.",
"arxiv_id": "quant-ph/0103079",
"authors": [
"Mark A. Rubin"
],
"categories": [
"quant-ph"
],
"journal_ref": "Found. Phys. Lett. 14 (2001) 301-322",
"title": "Locality in the Everett Interpretation of Heisenberg-Picture Quantum Mechanics",
"url": "https://arxiv.org/abs/quant-ph/0103079"
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