标题： 曲率，相空间，全息原理和黑洞熵 显示英文标题

标题： Curvature, Phase Space, Holography and Black Hole Entropy

摘要： 本文讨论了黑洞的热力学，包括霍金辐射和熵。我们考察了黑洞熵与曲率的统一图景，以及这如何导致由于霍金辐射而产生的通常黑洞亮度。还展示了视界内部的体积，除了表面积外，如何在理解霍金通量中发挥作用。此外，全息原理也暗示了与内部体积相关的相空间，而这恰好是一个相空间量子，仅被一个光子填满。广义不确定性原理可以纳入此分析中。这些结果适用于任何维度中的所有黑洞质量。 显示英文摘要

摘要： This paper discusses the thermodynamics of a black hole with respect to Hawking radiation and the entropy. We look at a unified picture of black hole entropy and curvature and how this can lead to the usual black hole luminosity due to Hawking radiation. It is also shown how the volume inside the horizon, apart from surface area, can play a role in understanding the Hawking flux. In addition holography also implies a phase space associated with the interior volume and this happens to be just a quantum of phase space, filled with just one photon. Generalised uncertainty principle can be incorporated in this analysis. These results hold for all black hole masses in any dimensions.