Everettian mechanics with hyperfinitely many worlds

Jeffrey Barrett; Isaac Goldbring

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arXiv · 2106.04544

Everettian mechanics with hyperfinitely many worlds

Jeffrey Barrett·Isaac Goldbring

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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. This approach also provides a more general framework in which to consider no-collapse formulations of quantum mechanics more generally.

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Jeffrey Barrett, Isaac Goldbring. 2021-06-08. Everettian mechanics with hyperfinitely many worlds. https://arxiv.org/abs/2106.04544

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