dorsal/arxiv
View SchemaRelative Frequency and Probability in the Everett Interpretation of Heisenberg-Picture Quantum Mechanics
| Authors | Mark A. Rubin |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0209055 |
| URL | https://arxiv.org/abs/quant-ph/0209055 |
| Journal | Found. Phys. 33 (2003) 379-405 |
Abstract
The existence of probability in the sense of the frequency interpretation, i.e. probability as "long term relative frequency," is shown to follow from the dynamics and the interpretational rules of Everett quantum mechanics in the Heisenberg picture. This proof is free of the difficulties encountered in applying to the Everett interpretation previous results regarding relative frequency and probability in quantum mechanics. The ontology of the Everett interpretation in the Heisenberg picture is also discussed.
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"abstract": "The existence of probability in the sense of the frequency interpretation,\ni.e. probability as \"long term relative frequency,\" is shown to follow from the\ndynamics and the interpretational rules of Everett quantum mechanics in the\nHeisenberg picture. This proof is free of the difficulties encountered in\napplying to the Everett interpretation previous results regarding relative\nfrequency and probability in quantum mechanics. The ontology of the Everett\ninterpretation in the Heisenberg picture is also discussed.",
"arxiv_id": "quant-ph/0209055",
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"journal_ref": "Found. Phys. 33 (2003) 379-405",
"title": "Relative Frequency and Probability in the Everett Interpretation of Heisenberg-Picture Quantum Mechanics",
"url": "https://arxiv.org/abs/quant-ph/0209055"
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