In this paper a viewpoint that time is an informational and thermal entity is presented. 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 an intrinsic correlation 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 a 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.

在本文中，提出了一种观点，即时间是信息和热的实体。我们考虑一个简单的松弛过程的模型，通过数学模型来描述事件，时间和温度之间的关系。然后清楚地说明了通过事件的测量统计地推断出温度和时间。因此，事件的概率分布提供了温度和时间之间的内在关联，这可以根据Fisher信息度量来表示。然后，温度和时间的二维微分几何使我们找到了标量曲率\（R = -1 \）的简单方程式，在这种情况下是放松过程。反过来，该基本方程式可以被认为是表征非平衡动力学过程的特征，并且具有由费舍尔信息度量给出的解。然后可以解释时间，以便以热的方式出现。