论文标题
Reissner-Nordström黑洞内部的量子热力学
Quantum thermodynamics in the interior of a Reissner-Nordström black-hole
论文作者
论文摘要
我们使用相对论量子几何形状研究了Reissner-Nordström黑洞（RNBH）的内部，这是在以前的一些作品中引入的。我们发现，标量场的离散能级从多项式条件的HEUN汇合函数围绕有效的因果半径$ r _*$扩展。从解决方案中可以获得不确定性原理在每个时空的每个能量水平的形式中都是有效的：$ e_n \，r _ {*，n} = \ hbar/2 $，并且带电的质量被离散和分布在有限的状态下。经典的RNBH熵被回收为状态数非常大的极限情况，而RNBH量子温度取决于RNBH内部的状态数量。根据RNBH状态的数量，该温度与Bekeinstein-Hawking（BH）温度有关：$ t_ {bh} \ leq t_ {n} <2 \，t_ {bh} $。
We study the interior of a Reissner-Nordström Black-Hole (RNBH) using Relativistic Quantum Geometry, which was introduced in some previous works. We found discrete energy levels for a scalar field from a polynomial condition for the Heun Confluent functions expanded around the effective causal radius $r_*$. From the solutions it is obtained that the uncertainty principle is valid for each energy level of space-time, in the form: $E_n\, r_{*,n}=\hbar/2$, and the charged mass is discretized and distributed in a finite number of states. The classical RNBH entropy is recovered as the limit case where the number of states is very large, and the RNBH quantum temperature depends on the number of states in the interior of the RNBH. This temperature, depending of the number of states of the RNBH, is related with the Bekeinstein-Hawking (BH) temperature: $T_{BH} \leq T_{N} < 2\,T_{BH}$.
