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Finite frequentism explains quantum probability

Saunders, Simon (2024) Finite frequentism explains quantum probability. [Preprint]

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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 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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Item Type: Preprint
Creators:
CreatorsEmailORCID
Saunders, Simonsimon.saunders@philosophy.ox.ac.uk0000-0002-8292-3014
Additional Information: To appear in the British Journal for the Philosophy of Science
Keywords: Probability, finite frequentism, quantum mechanics, classical statistical mechanics, Born rule, Boltzmann, Gibbs, Everett, decoherence
Subjects: Specific Sciences > Physics > Classical Physics
General Issues > Determinism/Indeterminism
General Issues > Explanation
General Issues > Laws of Nature
Specific Sciences > Physics
Specific Sciences > Probability/Statistics
Specific Sciences > Physics > Quantum Mechanics
General Issues > Reductionism/Holism
Specific Sciences > Physics > Statistical Mechanics/Thermodynamics
Depositing User: simon saunders
Date Deposited: 18 May 2024 07:51
Last Modified: 18 May 2024 07:51
Item ID: 23453
Subjects: Specific Sciences > Physics > Classical Physics
General Issues > Determinism/Indeterminism
General Issues > Explanation
General Issues > Laws of Nature
Specific Sciences > Physics
Specific Sciences > Probability/Statistics
Specific Sciences > Physics > Quantum Mechanics
General Issues > Reductionism/Holism
Specific Sciences > Physics > Statistical Mechanics/Thermodynamics
Date: 17 May 2024
URI: https://philsci-archive.pitt.edu/id/eprint/23453

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