Quantum gravitational wave function for the interior of a black hole and the generalized uncertainty principle

Abstract

We investigate the internal structures of a Schwarzschild black hole by solving the Wheeler-DeWitt equation. The generic bounded wave function has a bouncing point around $r\simeq M$, where $M$ is the black hole mass. Due to this quantum bouncing, there appears an ambiguity to define the arrow of time. If we introduce two arrows of time, one can then interpret that two classical spacetime is annihilated around the bouncing point. Finally, we provide a conceptual explanation based on the generalized uncertainty principle.

arXiv comment6 pages, 2 figures, 1 table, Proceedings of the 14th Asia-Pacific Physics Conference. Talk on November 21, 2019, Kuching, Malaysia

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• Wheeler-DeWitt equation beyond the cosmological horizon: Annihilation to nothing, infinity avoidance, and loss of quantum coherence
• Spinorial Wheeler-DeWitt wave functions inside black hole horizons
• Trouble with geodesics in black-to-white hole bouncing scenarios