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Typicality in the Foundations of Statistical Physics and Born's Rule

Duerr, Detlef and Struyve, Ward (2020) Typicality in the Foundations of Statistical Physics and Born's Rule. pp. 35-44.

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Abstract

Typicality has always been in the minds of the founding fathers of probability theory when probabilistic reasoning is applied to the real world. However, the role of typicality is not always appreciated. An example is the paper "Foundations of statistical mechanics and the status of Born's rule in de Broglie-Bohm pilot-wave theory" by Antony Valentini, where he presents typicality and relaxation to equilibrium as distinct approaches to the proof of Born's rule, while typicality is in fact an overriding necessity. Moreover the "typicality approach" to Born's rule of "the Bohmian mechanics school" is claimed to be inherently circular. We wish to explain once more in very simple terms why the accusation is off target and why "relaxation to equilibrium" is neither necessary nor sufficient to justify Born's rule.


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Item Type: Published Article or Volume
Creators:
CreatorsEmailORCID
Duerr, Detlefduerr@mathematik.uni-muenchen.de0000-0001-7956-9504
Struyve, Wardward.struyve@gmail.com0000-0002-3633-6353
Keywords: statistical physics, typicality, Born rule
Subjects: Specific Sciences > Physics > Quantum Mechanics
Specific Sciences > Physics > Statistical Mechanics/Thermodynamics
Depositing User: dr ward struyve
Date Deposited: 10 Mar 2021 03:05
Last Modified: 10 Mar 2021 03:05
Item ID: 18792
Publisher: Springer
DOI or Unique Handle: 10.1007/978-3-030-46777-7_3
Subjects: Specific Sciences > Physics > Quantum Mechanics
Specific Sciences > Physics > Statistical Mechanics/Thermodynamics
Date: 2020
Page Range: pp. 35-44
URI: http://philsci-archive.pitt.edu/id/eprint/18792

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