黑洞的量子熵及其极小值
The Black Hole Quantum Entropy and Its Minimal Value
摘要：
本文证明了在广义不确定原理范围内计算的Schwarzschild黑洞量子熵存在一个非零的极小值，假定黑洞的半径有一个下限，其值是极小长度的两倍。当使用无量纲小参数作为最小长度的量子理论中的适当变形参数时，这样的极限是很自然的，该无量纲小参数是由作者之一与他的同事在先前的合著中引入的，并且是由在普朗克尺度下修改密度矩阵引起的。所得结果已与其他作者的结果进行了比较，并从它们与众所周知的事实，特别是全息原理的兼容性的观点进行了分析。
英文摘要：
In the paper it is demonstrated that the Schwarzschild black-hole quantum entropy computed within the scope of the Generalized Uncertainty Principle has a nonzero minimum under the assumption that for a radius of the black hole the lower limit is placed, whose value is twice the minimal length. Such a limit is quite natural when using, as a proper deformation parameter in a quantum theory with a minimal length, the dimensionless small parameter introduced previously by one of the authors in co-authorship with his colleagues and caused by modification of the density matrix at Planck scales. The results obtained have been compared to the results of other authors and analyzed from the viewpoint of their compatibility with the well-known facts and the holographic principle in particular.
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