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.
翻译:对于扩张过程,扩张空间的大小将会增加。如果扩张过程取决于时间,则时间(t)会随着扩张空间的扩大而增加。在理论和实例方面,使用了统计信息载体方法来调查时间依赖扩张过程的特性。本文的主要目的是调查是否有普遍时间(T)以及它与过程(t)的关系,而时间(t)是任何特定时间依赖扩张过程所特有的。发现对于这种时间依赖的过程,时间(t)可以调整为时间(T),这样,扩张过程的T和信息载体(H(T)是相同的,并且与扩张空间的大小增加直接相关。