论文标题
热时间的外观
Appearance of Thermal Time
论文作者
论文摘要
在本文中，显示时间是信息和热实体。我们考虑了一个模型，用于简单的放松过程，该过程在数学上是在事件，时间和温度之间建立关系的模型。然后，明确说明温度和时间是通过测量事件来统计推断的。因此，事件的概率分布提供了温度和时间之间的相互调节，可以用Fisher信息指标表示相关。在这种情况下，在这种情况下，温度和时间的二维微分几何几何导致我们发现标量曲率的简单方程式，在这种情况下，r = -1。反过来，这个基本方程可能被认为是表征非平衡动力学过程并具有Fisher Information Metric提供的解决方案的表征。然后可以解释时间以热方式出现。
In this paper a viewpoint that time is an informational and thermal entity is shown. We consider a model for a simple relaxation process for which a relationship among event, time and temperature is mathematically formulated. It is then explicitly illustrated that temperature and time are statistically inferred through measurement of events. The probability distribution of the events thus provides a mutual regulation between temperature and time, which can relevantly be expressed in terms of the Fisher information metric. The two-dimensional differential geometry of temperature and time then leads us to a finding of a simple equation for the scalar curvature, R = -1, in this case of relaxation process. This basic equation, in turn, may be regarded as characterizing the nonequilibrium dynamical process and having a solution given by the Fisher information metric. The time can then be interpreted so as to appear in a thermal way.
