Schwarzschild Metric with Planck Length
arXiv:2003.01333 · doi:10.1088/1367-2630/abe506
Abstract
We present a modified Schwarzschild solution for a model of evaporation of a black hole with information preservation. By drawing a direct analogy to the quantum pure accelerating mirror (dynamical Casimir effect of a 1D horizon), we derive a Schwarzschild metric with not only the usual Schwarzschild radius but an additional length scale related to the Planck length. The black hole has thermal particle production that leads to complete evaporation of the black hole, resulting in non-divergent entanglement entropy, Page curve turn-over, and an asymptotic quantum pure state with no information loss.
arXiv comment14 pages, 9 figures
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- Thermal Larmor radiation
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- IR-finite thermal acceleration radiation
- Stopping to Reflect: Asymptotic Static Moving Mirrors as Quantum Analogs of Classical Radiation
- Classical Acceleration Temperature (CAT) in a Box