Horizon quantum mechanics: A hitchhiker’s guide to quantum black holes

Abstract

December 15, 2015 1:32 WSPC/INSTRUCTION FILE IJMPD˙HWF 2 R. Casadio, A. Giugno and O. Micu candidates of quantum black holes.

Horizon quantum mechanics of rotating black holes

“…Let us remark that the fact the above "energy" is negative for the allowed values of n and j is indeed in agreement with the post-Newtonian analysis of the "maximal packing condition" for the virtual gravitons in the black hole [22]. 8 In the following, we shall consider a few specific states in order to show the kind of results one can obtain from the general HQM formalism of Sect. 2.2 applied to harmonic models of spinning black holes.…”

“…We start from reviewing the basics of the (global) HQM for static spherically symmetric sources [1][2][3][4][5][6][7][8], and then extend this formalism to rotating systems by means of the Kerr relation for the horizon radii in terms of the asymptotic mass and angular momentum of the space-time. In particular, we shall rely on the results for the "global" case of Ref.…”

“…The formalism dubbed horizon quantum mechanics (HQM) [1][2][3][4][5][6][7][8], was initially proposed with the purpose of describing the gravitational radius of spherically symmetric compact sources and determining the existence of a horizon in a quantum mechanical fashion. It therefore appears as a natural continuation in this research direction to extend the HQM to rotating sources.…”

Horizon quantum fuzziness for non-singular black holes

“…as in Refs. [9,10]. Unfortunately, it is indeed impossible to replicate this machinery in any multi-particle model without requiring a fully dynamical approach, which extends the idea of Ref.…”

“…The purpose of this paper is to analyse some semiclassical aspects of the Hayward spacetime by means of the horizon quantum mechanics formalism [9][10][11], while working within the framework of the corpuscular model for quantum black holes [12][13][14][15].…”