Quantum Black Holes from Quantum Collapse

TL;DR

This paper demonstrates that a quantum model of dust collapse reproduces Bekenstein's black hole area spectrum and entropy, linking quantum collapse dynamics to black hole thermodynamics and information loss.

Contribution

It introduces a midi-superspace quantization of dust collapse with arbitrary mass functions, connecting quantum collapse to black hole spectra and entropy.

Findings

Reproduction of Bekenstein's area spectrum

Derivation of black hole entropy from quantum collapse

Interpretation of entropy as information loss

Abstract

The Schwarzschild black hole can be viewed as the special case of the marginally bound Lema\^\i tre-Tolman-Bondi models of dust collapse which corresponds to a constant mass function. We have presented a midi-superspace quantization of this model for an arbitrary mass-function in a separate publication. In this communication we show that our solution leads both to Bekenstein's area spectrum for black holes as well as to the black hole entropy, which, in this context, is naturally interpreted as the loss of information of the original matter distribution within the collapsing dust cloud.