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

2019/12/31 by Dong-han Yeom
Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Classical mechanics #Computer science #Cosmology and Gravitation Theories #General relativity #Gravitation #Gravitational collapse #Noncommutative and Quantum Gravity Theories #Physics #Quantum #Quantum gravity #Quantum mechanics #Schwarzschild metric #Schwarzschild radius #Spacetime #Theoretical physics #Uncertainty principle #Wave function #White hole #gr-qc #hep-th

paper · pdf · doi:10.1063/5.0038344

published as AIP Conf.Proc. 2319 (2021) 040001 · 6 pages, 2 figures, 1 table, Proceedings of the 14th Asia-Pacific Physics Conference. Talk on November 21, 2019, Kuching, Malaysia

openalex created_date 2019/12/26 · openalex publication_date 2021/01/01 · arxiv created 2021/02/08 · arxiv updated 2021/02/09 · openalex updated_date 2026/08/05

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 ≃ 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.

Citations