He Dongshan, Cai Qingyu
College of Physics & Electronic Engineering, Xianyang Normal University, Xianyang 712000, China.
School of Information and Communication Engineering, Hainan University, Haikou 570228, China.
Entropy (Basel). 2021 Jul 3;23(7):858. doi: 10.3390/e23070858.
In this paper, we present a derivation of the black hole area entropy with the relationship between entropy and information. The curved space of a black hole allows objects to be imaged in the same way as camera lenses. The maximal information that a black hole can gain is limited by both the Compton wavelength of the object and the diameter of the black hole. When an object falls into a black hole, its information disappears due to the no-hair theorem, and the entropy of the black hole increases correspondingly. The area entropy of a black hole can thus be obtained, which indicates that the Bekenstein-Hawking entropy is information entropy rather than thermodynamic entropy. The quantum corrections of black hole entropy are also obtained according to the limit of Compton wavelength of the captured particles, which makes the mass of a black hole naturally quantized. Our work provides an information-theoretic perspective for understanding the nature of black hole entropy.
在本文中，我们通过熵与信息之间的关系推导出黑洞面积熵。黑洞的弯曲空间允许物体以与相机镜头相同的方式成像。黑洞能够获得的最大信息受到物体的康普顿波长和黑洞直径的限制。当一个物体落入黑洞时，由于无毛定理，其信息消失，黑洞的熵相应增加。由此可以得到黑洞的面积熵，这表明贝肯斯坦 - 霍金熵是信息熵而非热力学熵。根据捕获粒子的康普顿波长极限，还得到了黑洞熵的量子修正，这使得黑洞的质量自然地量子化。我们的工作为理解黑洞熵的本质提供了一个信息论视角。
