dorsal/arxiv
View SchemaDrift-Diffusion in Mangled Worlds Quantum Mechanics
| Authors | Robin Hanson |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0303114 |
| URL | https://arxiv.org/abs/quant-ph/0303114 |
| DOI | 10.1098/rspa.2005.1640 |
| Journal | Proceedings of the Royal Society A: 462(2069):1619-1627, May 8, 2006. |
Abstract
In Everett's many worlds interpretation, where quantum measurements are seen as decoherence events, inexact decoherence may let large worlds mangle the memories of observers in small worlds, creating a cutoff in observable world size. I solve a growth-drift-diffusion-absorption model of such a mangled worlds scenario, and show that it reproduces the Born probability rule closely, though not exactly. Thus deviations from exact decoherence can allow the Born rule to be derived in a many worlds approach via world counting, using a finite number of worlds and no new fundamental physics.
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"abstract": "In Everett\u0027s many worlds interpretation, where quantum measurements are seen\nas decoherence events, inexact decoherence may let large worlds mangle the\nmemories of observers in small worlds, creating a cutoff in observable world\nsize. I solve a growth-drift-diffusion-absorption model of such a mangled\nworlds scenario, and show that it reproduces the Born probability rule closely,\nthough not exactly. Thus deviations from exact decoherence can allow the Born\nrule to be derived in a many worlds approach via world counting, using a finite\nnumber of worlds and no new fundamental physics.",
"arxiv_id": "quant-ph/0303114",
"authors": [
"Robin Hanson"
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"doi": "10.1098/rspa.2005.1640",
"journal_ref": "Proceedings of the Royal Society A: 462(2069):1619-1627, May 8,\n 2006.",
"title": "Drift-Diffusion in Mangled Worlds Quantum Mechanics",
"url": "https://arxiv.org/abs/quant-ph/0303114"
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