Related papers: Finite frequentism explains quantum probability

Finite frequentism explains quantum probability

URL: http://arxiv.org/abs/2404.12954v3
Date: Fri, 17 May 2024 13:55:08 GMT
Title: Finite frequentism explains quantum probability
Authors: Simon Saunders,
Abstract summary: I show that frequentism can be extended in a natural way to a decoherent quantum history space. The Gibbs concept of an infinite ensemble of gases is replaced by the quantum state expressed as a superposition of a finite number of decohering microstates.
Score: 0.0
License: http://creativecommons.org/licenses/by-nc-nd/4.0/
Abstract: I show that frequentism, as an explanation of probability in classical statistical mechanics, can be extended in a natural way to a decoherent quantum history space, the analogue of a classical phase space. The result is a form of finite frequentism, in which the Gibbs concept of an infinite ensemble of gases is replaced by the quantum state expressed as a superposition of a finite number of decohering microstates. It is a form of finite and actual (as opposed to hypothetical) frequentism insofar as all the microstates exist, even though they may differ macroscopically, in keeping with the decoherence-based Everett interpretation of quantum mechanics.

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