Everettian mechanics with hyperfinitely many worlds

• URL: http://arxiv.org/abs/2106.04544v1
• Date: Tue, 8 Jun 2021 17:27:48 GMT
• Title: Everettian mechanics with hyperfinitely many worlds
• Authors: Jeffrey Barrett and Isaac Goldbring
• Abstract summary: A hyperfinite model allows one to consider idealized measurements of observables with continuous-valued spectra. One can also prove hyperfinite formulations of Everett's limiting relative-frequency and randomness properties.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• 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. This approach also provides a more general framework in which to consider no-collapse formulations of quantum mechanics more generally.

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