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
Creators:	Creators Email ORCID Barrett, Jeffrey A. j.barrett@uci.edu Goldbring, Isaac isaac@math.uci.edu
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
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
Date:	2021
URI:	https://philsci-archive.pitt.edu/id/eprint/19419

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