Spinorial Wheeler-DeWitt wave functions inside black hole horizons
arXiv:2209.14527 · doi:10.1088/1361-6382/ace496
Abstract
We revisit the solutions of the Wheeler-DeWitt (WDW) equation inside the horizons of spherical black holes and planar topological black holes in arbitrary dimensions. For these systems, the solutions of the equations are found to have the same form. Therefore, Yeom's Annihilation-to-nothing interpretation can be applied to each case. We have introduced the Dirac-type WDW equations into quantum cosmology in a recent paper, so we also apply our formulation to the quantum theory of the interior of the black hole in order to obtain the solution of the spinorial wave function. The shape of the wave packet of the spinorial WDW wave function indicates that the variation of Yeom's interpretation holds in this scheme.
arXiv comment16 pages, 3 figures. Final version
References in corpus (28)
- Cylindrical Black Hole in General Relativity
- Topological Black Holes in Anti-de Sitter Space
- Quantum geometry and the Schwarzschild singularity
- Black holes with unusual topology
- Celestial Mechanics, Conformal Structures, and Gravitational Waves
- Geometric approach to Hamiltonian dynamics and statistical mechanics
- Loop quantization of the Schwarzschild interior revisited
- Hidden Symmetries of Dynamics in Classical and Quantum Physics
- Conceptual Problems in Quantum Gravity and Quantum Cosmology
- Hamiltonian Formalism for Black Holes and Quantization
- Cosmological aspects of the Eisenhart-Duval lift
- Annihilation-to-nothing: a quantum gravitational boundary condition for the Schwarzschild black hole
- Wheeler-DeWitt states of the AdS-Schwarzschild interior
- Symmetries of the Black Hole Interior and Singularity Regularization
- Quantum dynamics of the black hole interior in LQC
- A Finite Measure for the Initial Conditions of Inflation
- Quantum Cosmology
- Eisenhart--Duval lift for minisuperspace quantum cosmology
- Annihilation-to-nothing: DeWitt boundary condition inside a black hole
- Supersymmetric Majorana Quantum Cosmologies
- Third quantization for scalar and spinor wave functions of the Universe in an extended minisuperspace
- Integrable Minisuperspace Models with Liouville Field: Energy Density Self-Adjointness and Semiclassical Wave Packets
- Semiclassical solutions of generalized Wheeler-DeWitt cosmology
- Initial Conditions of Inflation in a Bianchi I Universe
- Quantum gravitational wave function for the interior of a black hole and the generalized uncertainty principle
- Speculation about the black hole final state: resolving singularity by quantum gravity
- Accelerating cosmologies in an integrable model with noncommutative minisuperspace variables
- Future Boundaries and the Black Hole Information Paradox