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 $r_{\ast }$. From the solutions it is obtained that the uncertainty principle is valid for each energy level of space–time, in the form: $E_n{r}_{\ast ,n}=ħ∕2$, 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 Bekenstein–Hawking (BH) temperature: $T_{BH}\le T_N<2T_{BH}$.

我们使用相对论量子几何学研究了Reissner–Nordström Black-Hole（RNBH）的内部，这在先前的一些工作中已有介绍。我们从多项式条件中得到了关于Heun合流函数围绕有效因果半径展开的标量场的离散能级${\mathrm{[R}}_{\ast }$。从解中可以得出，不确定性原理对于时空的每个能级都是有效的，其形式为：${Ë}_{ñ}{\mathrm{[R}}_{\ast ，ñ}=H∕2$，带电质量离散化并分布在有限数量的状态中。作为状态的数量非常大的极限情况，恢复了经典的RNBH熵，并且RNBH量子温度取决于RNBH内部的状态数。此温度取决于RNBH的状态数，与Bekenstein-Hawking（BH）温度有关：${Ť}_{乙H}\le {Ť}_{ñ}<2{Ť}_{乙H}$。