Everettian Mechanics with Hyperfinitely Many Worlds

Erkenntnis 89 (4):1-20 (2022)
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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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reprint Barrett, Jeffrey; Goldbring, Isaac (2024) "Everettian Mechanics with Hyperfinitely Many Worlds". Erkenntnis 89(4):1367-1386

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Jeffrey Barrett
University of California, Irvine

Citations of this work

Hypothetical Frequencies as Approximations.Jer Steeger - 2024 - Erkenntnis 89 (4):1295-1325.
Conquering Mount Everett: Branch-Counting Versus the Born Rule.Jake Khawaja - forthcoming - British Journal for the Philosophy of Science.

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