Entropy is a key concept widely used in physics and other fields. At the same time, the meaning of entropy with different names and the relationship among them are confusing. In this paper, we discuss the relationship among the Clausius entropy, Boltzmann entropy and information entropy and further show that the three kinds of entropy are equivalent to each other to some extent. Moreover, we point out that the evolution of the universe is a process of entropy increment and life originates from the original low entropy of the universe. Finally, we discuss the evolution of the entire universe composed of the cosmological horizon and the space surrounded by it and interpret the entropy as a measure of information of all microstates corresponding to a certain macrostate. Under this explanation, the thermodynamic entropy and information entropy are unified and we can conclude that the sum of the entropy of horizon and the entropy of matter in the space surrounded by the horizon does not decrease with time if the second law of thermodynamics holds for the entire universe.

中文翻译：

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从熵和信息的角度看宇宙演化

熵是物理学和其他领域广泛使用的一个关键概念。同时，不同名称的熵的含义以及它们之间的关系也令人困惑。在本文中，我们讨论了克劳修斯熵、玻尔兹曼熵和信息熵之间的关系，进一步证明了这三种熵在一定程度上是等价的。此外，我们指出，宇宙的演化是一个熵增的过程，生命起源于宇宙原本的低熵。最后，我们讨论了由宇宙视界及其所包围的空间组成的整个宇宙的演化，并将熵解释为对某个宏观状态对应的所有微观状态的信息量度。在这种解释下，