扩展的不确定原理启发了雷尼熵
The extended uncertainty principle inspires the Rényi entropy
摘要：
本文利用扩展的不确定原理（EUP）得到了黑洞（BH）的Rényi熵。结果表明，非外延参数，出现在Rényi熵形式主义，可以评估的考虑，导致EUP。研究还表明，对于激发态BH，Rényi熵是BH主量子数的函数，即BH量子激发态.温度和热容量的激发BH也解决两个阶段，而只有一个可以是稳定的。在这种情况下，虽然熵消失，温度可能会采取一个非零的正的最小值，这取决于非外延参数的值。还研究了激发态BH的蒸发时间。
英文摘要：
We use the extended uncertainty principle (EUP) in order to obtain the Rényi entropy for a black hole (BH). The result implies that the non-extensivity parameter, appeared in the Rényi entropy formalism, may be evaluated from the considerations which lead to EUP. It is also shown that, for excited BHs, the Rényi entropy is a function of the BH principal quantum number, i.e. the BH quantum excited state. Temperature and heat capacity of the excited BHs are also investigated addressing two phases while only one of them can be stable. At this situation, whereas entropy is vanished, temperature may take a non-zero positive minimum value, depending on the value of the non-extensivity parameter. The evaporation time of excited BH has also been studied.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
