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Entropy and Cosmological Arrows of Time

2021/08/23 by Julian Barbour, Barbour, Julian
Physics and Astronomy · #Advanced Mathematical Theories and Applications #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Relativity and Gravitational Theory

paper · pdf · doi:10.48550/arxiv.2108.10074

openalex publication_date 2021/08/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Deutsch and Aguirre have recently shown that the solutions of certain dynamical systems typically contain a point of minimum size that they identify as an entropy minimum and from which the size and entropy increase to infinity in both directions of time. They argue that in such systems entropic arrows of time exist without the need for a special condition imposed in the past. In this paper I sharpen and extend the conditions under which such solutions exist but argue that the resulting arrows of time should not be interpreted as entropic since they point towards greater order and not disorder.

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