Quantization of Black Holes

TL;DR

This paper presents a novel approach to black hole quantization inspired by Bohr's atomic model, deriving properties from an entropy quantization Ansatz, and suggests a unification of gravity with quantum theory, predicting primordial black holes across scales.

Contribution

It introduces a new quantization method for black holes based on an entropy Ansatz, linking gravity and quantum effects, and predicts primordial black holes at various scales.

Findings

Black holes can be quantized using an entropy-based approach.

The approach aligns with conventional black hole knowledge.

Predictions include primordial black holes from Planck scale to large sizes.

Abstract

We show that black holes can be quantized in an intuitive and elegant way with results in agreement with conventional knowledge of black holes by using Bohr's idea of quantizing the motion of an electron inside the atom in quantum mechanics. We find that properties of black holes can be also derived from an Ansatz of quantized entropy $\Delta S=4\pi k {\Delta R / \lambdabar}$, which was suggested in a previous work to unify the black hole entropy formula and Verlinde's conjecture to explain gravity as an entropic force. Such an Ansatz also explains gravity as an entropic force from quantum effect. This suggests a way to unify gravity with quantum theory. Several interesting and surprising results of black holes are given from which we predict the existence of primordial black holes ranging from Planck scale both in size and energy to big ones in size but with low energy behaviors.