Quantized Black Holes, Their Spectrum and Radiation

TL;DR

This paper explores the quantization of black hole horizons, deriving their entropy, spectrum, and radiation characteristics, and discusses implications for loop quantum gravity and the holographic bound.

Contribution

It presents a general framework for black hole horizon quantization, spectrum structure, and radiation, including specific results for loop quantum gravity and the Barbero--Immirzi parameter.

Findings

Maximum entropy proportional to surface area in classical limit

Discrete black hole radiation spectrum fits Wien profile

Barbero--Immirzi parameter values conflict with holographic bound

Abstract

Under quite natural general assumptions, the following results are obtained. The maximum entropy of a quantized surface is demonstrated to be proportional to the surface area in the classical limit. The general structure of the horizon spectrum is found. The discrete spectrum of thermal radiation of a black hole Under quite natural general assumptions, the following results are obtained. The maximum entropy of a quantized surface is demonstrated to be proportional to the surface area in the classical limit. The general structure of the horizon spectrum is found. The discrete spectrum of thermal radiation of a black hole fits the Wien profile. The natural widths of the lines are much smaller than the distances between them. The total intensity of the thermal radiation is estimated. In the special case of loop quantum gravity, the value of the Barbero -- Immirzi parameter is found. Different values for this parameter, obtained under additional assumption that the horizon is described by a U(1) Chern -- Simons theory, are demonstrated to be in conflict with the firmly established holographic bound.