English

On the nature of time in time-dependent expansionary processes

Statistical Mechanics 2021-06-07 v1 Probability Methodology

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.

Keywords

Cite

@article{arxiv.2106.02453,
  title  = {On the nature of time in time-dependent expansionary processes},
  author = {Laurence Lacey},
  journal= {arXiv preprint arXiv:2106.02453},
  year   = {2021}
}

Comments

18 pages, 4 figures, 1 appendix