Quantum black holes and their classical analogs

by Prof. Victor Berezin (Russian Academy of Sciences)

Tuesday 28 May 2013, 15:00 → 16:00 Europe/Rome

Aula Teorici (DIFA)

It is shown that the quantization of the self-gravitating spherically symmetric thin dust shells leads to the stationary Schroedinger-like equations in finite differences. The method is elaborated for extracting the discrete mass (energy) spectra without solving the wave equations but using, instead, the analytical properties of the "correct" solutions and non-trivial causal structure of the geodesically complete space-times. The quantum state of the shell depends on two quantum numbers. This feature suggests that the quantum black hole is the special point in the spectrum obeying the “no-memory” condition. Being translated into the classical language, such a condition allows us to construct the purely classical model possessing the temperature. By using self-consistently the Einstein equations and classical (local) thermodynamics it becomes possible to explain the log 3-puzzle.