摘要
就到在从概括无常原则并且用到自由的所有度的量状态密度的量状态密度上的普朗克常数长度的所有订单的修正而言包括额外的尺寸，没有任何人工的截止，我们在高度维的静态的球状地对称的黑洞 spacetime 计算分级的地的统计的熵。熵与地平线区域成正比的计算表演。当最小的长度参数适当地被选择时，比例的系数是 1/4。
Considering corrections to all orders in the Planck length on the quantum state density from the generalized uncertainty principle and using the quantum state density to all degrees of freedom including extra dimensions, we calculate the statistical entropy of the scalar field in the higher-dimensional static spherically symmetric black hole spacetime without any artificial cutoff. Calculation shows that the entropy is proportional to the horizon area. The coefficient of proportionality is 1/4 when the minimal length parameter is selected appropriately.
基金
Supported by the Graduate Student Creative Foundation of Hunan University of Science and Technology under Grant No S080111, Scientific Research Foundation for the Returned Overseas Chinese Scholars from State Education Ministry of China under Grant No 527[2004]） and the Hunan Provincial Natural Science Foundation under Grant No 06JJ2026.
关键词
球对称黑洞
统计熵
静态
广义不确定原理
量子态密度
机械
计算结果
普朗克长度
Quantum gases, liquids and solids Mathematical physics Gravitation and cosmology Statistical physics and nonlinear systems
