Saha Institute of Nuclear Physics, 1/AF Bidhan Nagar, 700064 Kolkata, India.
Phys Rev Lett. 2011 Dec 9;107(24):241301. doi: 10.1103/PhysRevLett.107.241301. Epub 2011 Dec 6.
We present a statistical mechanical calculation of the thermodynamical properties of (nonrotating) isolated horizons. The introduction of the Planck scale allows for the definition of a universal horizon temperature (independent of the mass of the black hole) and a well-defined notion of energy (as measured by suitable local observers) proportional to the horizon area in Planck units. The microcanonical and canonical ensembles associated with the system are introduced. Black hole entropy and other thermodynamical quantities can be consistently computed in both ensembles and results are in agreement with Hawking's semiclassical analysis for all values of the Immirzi parameter.
我们提出了（非旋转）孤立视界的热力学性质的统计力学计算。普朗克尺度的引入允许定义一个普遍的视界温度（与黑洞的质量无关）和一个明确的能量概念（由合适的局域观测者测量），与普朗克单位中的视界面积成正比。引入了与该系统相关的微正则系综和正则系综。可以在这两个系综中一致地计算黑洞熵和其他热力学量，并且对于 Immirzi 参数的所有值，结果都与霍金的半经典分析一致。
