Everettian Mechanics with Hyperfinitely Many Worlds.
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....
| Published in: | Erkenntnis Vol. 89; no. 4; pp. 1367 - 1387 |
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| Main Authors: | , |
| Format: | Article |
| Published: |
Springer Nature
Apr2024
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| Subjects: | |
| Online Access: | View this record in EBSCOhost |
| Summary: | 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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