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Is the (3+1)-d nature of the universe a thermodynamic necessity?

2015/02/06 by Julián González-Ayala, Julian Gonzalez-Ayala, Gonzalez-Ayala, Julian +3
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Statistical Mechanics and Entropy #gr-qc

paper · pdf · doi:10.48550/arxiv.1502.01843

3 pages, 5 figures

openalex publication_date 2015/02/06 · arxiv created 2015/02/15 · arxiv updated 2015/02/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

It is well established that at early times, long before the time of radiation-matter equality, the universe could have been well described by a spatially flat, radiation only model. In this letter we consider the whole primeval universe as a black body radiation (BBR) system in an n-dimensional Euclidean space. We propose that the (3+1)-d nature of the universe could be the result of a kind of thermodynamic selection principle stemming from the second law of thermodynamics. In regard the three spatial dimensions we suggest that they were chosen by means of the minimization of the Helmholtz free energy per hypervolume unit, while the time dimension, as it is well known was the result of the principle of increment of entropy for closed systems; that is, the so-called arrow of time.

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