On the nature of time in time-dependent expansionary processes
Abstract
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.
- Publication:
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arXiv e-prints
- Pub Date:
- June 2021
- DOI:
- 10.48550/arXiv.2106.02453
- arXiv:
- arXiv:2106.02453
- Bibcode:
- 2021arXiv210602453L
- Keywords:
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- Condensed Matter - Statistical Mechanics;
- Mathematics - Probability;
- Statistics - Methodology
- E-Print:
- 18 pages, 4 figures, 1 appendix