Quantum Black Holes

TL;DR

This paper discusses the historical and theoretical basis for the quantization of black hole areas, highlighting the implications of black hole quantization in quantum gravity.

Contribution

It presents the arguments leading to black hole area quantization and explores its consequences, building on Bekenstein's foundational ideas.

Findings

Black hole area behaves as an adiabatic invariant.

Black hole area is likely quantized in Planckian units.

Implications for quantum gravity and black hole thermodynamics.

Abstract

In 1974 Jacob Bekenstein has noticed that the area of the black hole behaves as adiabatic invariant and hence most likely must be quantized in integers of the Planckian area. In these notes I will present the arguments which led him and myself to such conclusion and will discuss the consequences of the black hole quantization.