Quantum Geometry and Thermal Radiation from Black Holes

TL;DR

This paper explores the quantum properties of black holes, focusing on their emission and absorption spectra using a non-perturbative quantum gravity framework and an area-based statistical ensemble.

Contribution

It introduces a novel approach to black hole spectroscopy by applying a canonical ensemble based on horizon area and analyzing emission lines via quantum state analogies.

Findings

Derived emission and absorption spectra for quantum black holes.

Identified specific emission lines for non-rotating black holes.

Applied Fermi's golden rule to calculate line intensities.

Abstract

A quantum mechanical description of black hole states proposed recently within non-perturbative quantum gravity is used to study the emission and absorption spectra of quantum black holes. We assume that the probability distribution of states of the quantum black hole is given by the ``area'' canonical ensemble, in which the horizon area is used instead of energy, and use Fermi's golden rule to find the line intensities. For a non-rotating black hole, we study the absorption and emission of s-waves considering a special set of emission lines. To find the line intensities we use an analogy between a microscopic state of the black hole and a state of the gas of atoms.