On the nature of time in timedependent expansionary processes
Abstract
For an expansionary process, the size of the expansion space will increase. If the expansionary process is timedependent, 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 timedependent 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 timedependent expansionary process. It was found that for such timedependent 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:

arXiv eprints
 Pub Date:
 June 2021
 arXiv:
 arXiv:2106.02453
 Bibcode:
 2021arXiv210602453L
 Keywords:

 Condensed Matter  Statistical Mechanics;
 Mathematics  Probability;
 Statistics  Methodology
 EPrint:
 18 pages, 4 figures, 1 appendix