Poincaré, Poincaré Recurrence, and the H-Theorem: A Continued Reassessment of Boltzmannian Statistical Mechanics

Abstract

In (Weaver 2021), I showed that Boltzmann’s H-theorem does not face a significant threat from the reversibility paradox. I argue that my defense of the H-theorem against that paradox can be used yet again for the purposes of resolving the recurrence paradox without having to endorse heavy-duty statistical assumptions outside of the hypothesis of molecular chaos. As in (Weaver 2021), lessons from the history and foundations of physics reveal precisely how such resolution is achieved.

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2022-06-12

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Christopher Gregory Weaver
University of Illinois, Urbana-Champaign

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