For a quantum mechanically Gaussian shaped, electrically charged, massive particle, we compute the Horizon Wave-function(s) in order to study (a) the existence of the inner Cauchy horizon of the corresponding Reissner–Nordström space-time when the charge-to-mass ratio 0 < α < 1 and (b) the survival of a naked singularity when the charge-to-mass ratio α > 1. Our results suggest that any semi- classical instability one expects near the inner horizon may not occur in quantum black holes, with a mass around the Planck scale, and that no states with charge-to- mass ratio greater than a critical value (of the order of 2) should exist.
A Quantum Cosmic Conjecture
R. Casadio
;
2018
Abstract
For a quantum mechanically Gaussian shaped, electrically charged, massive particle, we compute the Horizon Wave-function(s) in order to study (a) the existence of the inner Cauchy horizon of the corresponding Reissner–Nordström space-time when the charge-to-mass ratio 0 < α < 1 and (b) the survival of a naked singularity when the charge-to-mass ratio α > 1. Our results suggest that any semi- classical instability one expects near the inner horizon may not occur in quantum black holes, with a mass around the Planck scale, and that no states with charge-to- mass ratio greater than a critical value (of the order of 2) should exist.File in questo prodotto:
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