Canonical quantum quantization for interior of black hole and white hole.

In this paper, we investigate the Schwarzschild metric and extend it to the Kruskal-type metric to explore the interior structure of black holes and white holes within the framework of canonical quantum gravity. We applied a canonical quantization procedure to examine the key features of these objects, focusing on the quantization of the event horizon and continuous extension of the Schwarzschild metric to study white holes using the De Broglie–Bohm interpretation approach. Our findings demonstrate that the horizon of the black hole becomes quantized, leading to the disappearance of central singularity. Furthermore, by extending the Schwarzschild metric into a Kruskal–Schwarschild form, we were able to analyze both black and white holes within a unified approach. Through this quantization process, we derive a regular and effective spacetime model for a white hole, which eliminates singularities and provides new insights into the quantum characteristics of black and white holes. [ABSTRACT FROM AUTHOR]