2021/06/02 by Laurence Francis Lacey, Laurence Lacey, Lacey, Laurence
Computer Science · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Computer and information sciences #FOS: Mathematics #FOS: Physical sciences #Methodology (stat.ME) #Neural Networks and Applications #Probability (math.PR) #Statistical Mechanics (cond-mat.stat-mech) #Statistical Mechanics and Entropy #cond-mat.stat-mech #math.PR #stat.ME
paper · pdf · doi:10.48550/arxiv.2106.02453
18 pages, 4 figures, 1 appendix
arxiv created 2021/06/02 · openalex publication_date 2021/06/02 · arxiv updated 2021/06/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
For an expansionary process, the size of the expansion space will increase. If the expansionary process is time-dependent, time (t) will increase as a function of the increase in the size of the expansion space. A statistical information entropy methodology was used to investigate the properties of time-dependent expansionary processes both in theory and through examples. The primary objective of this paper was to investigate whether there is a universal measure of time (T) and how it relates to process related time (t), that is specific to any given time-dependent expansionary process. It was found that for such time-dependent processes, time (t) can be rescaled to time (T) such that, T and the information entropy (H(T)) of the expansionary process are the same, and directly related to the increase in the size of the expansion space.