On Quantum Non-Unitarity as a Basis for the Second Law of Thermodynamics

Abstract

It was first suggested by Albert that the existence of real, physical non-unitarity at the quantum level would yield a complete explanation for the increase of entropy over time in macroscopic systems. An alternative understanding of the source of non-unitarity is presented herein, in terms of the Transactional Interpretation. The present model provides a specific physical justification for Boltzmann’s Stosszahlansatz, thereby changing its status from an ad hoc postulate to a theoretically grounded result, without requiring any change to the basic quantum theory. In addition, it is argued that TI provides an elegant way of reconciling, via collapse, the time-reversible Liouville evolution with the time-irreversible evolution inherent in master equations. The present model is contrasted with the GRW ‘spontaneous collapse’ theory previously suggested for this purpose by Albert.

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The transactional interpretation of quantum mechanics.John G. Cramer - 1986 - Reviews of Modern Physics 58 (3):647-687.
Boltzmann's H-theorem, its discontents, and the birth of statistical mechanics.Harvey R. Brown, Wayne Myrvold & Jos Uffink - 2009 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 40 (2):174-191.
The Possibilist Transactional Interpretation and Relativity.Ruth E. Kastner - 2012 - Foundations of Physics 42 (8):1094-1113.

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