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....

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Publicado en:Erkenntnis Vol. 89; no. 4; pp. 1367 - 1387
Autores principales: Barrett, Jeffrey, Goldbring, Isaac
Formato: Artículo
Publicado: Springer Nature Apr2024
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Acceso en línea:Ver este registro en EBSCOhost
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        atl: Everettian Mechanics with Hyperfinitely Many Worlds.
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          Barrett, Jeffrey
          Goldbring, Isaac
        affil:
          Department of Logic and Philosophy of Science, University of California, Irvine, 765 Social Sciences Tower, 92697-5000, Irvine, CA, USA
          Department of Mathematics, University of California, Irvine, 340 Rowland Hall (Bldg.# 400), 92697-3875, Irvine, CA, USA
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        Quantum mechanics
        Probability theory
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          Quantum mechanics
          Probability theory
      ab: 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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