Barrett, Jeffrey A. and Goldbring, Isaac (2021) Everettian Mechanics with Hyperfinitely Many Worlds. [Preprint]
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Abstract
The present paper shows how one might model Everettian quantum mechanics using hyperfinitely many worlds. A hyperfinite model allows one to consider idealized measurements of observables with continuous-valued spectra where different outcomes are associated with possibly infinitesimal probabilities. One can also prove hyperfinite formulations of Everett's limiting relative-frequency and randomness properties, theorems he considered central to his formulation of quantum mechanics. Finally, this model provides an intuitive framework in which to consider no-collapse formulations of quantum mechanics more generally.
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Item Type: | Preprint | |||||||||
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Keywords: | Everettian quantum mechanics, many worlds, nonstandard analysis, hyperfinite quantum mechanics, quantum probability | |||||||||
Subjects: | Specific Sciences > Mathematics > Applicability General Issues > Models and Idealization Specific Sciences > Probability/Statistics Specific Sciences > Physics > Quantum Mechanics General Issues > Structure of Theories |
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Depositing User: | Jeffrey Barrett | |||||||||
Date Deposited: | 07 Aug 2021 23:53 | |||||||||
Last Modified: | 07 Aug 2021 23:53 | |||||||||
Item ID: | 19419 | |||||||||
Subjects: | Specific Sciences > Mathematics > Applicability General Issues > Models and Idealization Specific Sciences > Probability/Statistics Specific Sciences > Physics > Quantum Mechanics General Issues > Structure of Theories |
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Date: | 2021 | |||||||||
URI: | https://philsci-archive.pitt.edu/id/eprint/19419 |
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