On Quantization of Black Holes

TL;DR

This paper proposes a semiclassical model for black hole horizon area quantization, suggesting an equidistant spectrum and specific formulas for mass and area based on quantum numbers.

Contribution

It introduces new quantization rules for black hole mass and horizon area, extending previous models with explicit formulas involving quantum numbers N and j.

Findings

Horizon area spectrum is equidistant in the semiclassical limit.

Derived formulas for black hole mass and area based on quantum numbers.

Supports the idea of quantized black hole properties consistent with semiclassical arguments.

Abstract

A simple argument is presented in favour of the equidistant spectrum in semiclassical limit for the horizon area of a black hole. The following quantization rules for the mass $M_N$ and horizon area $A_{Nj}$ are proposed: M_N = m_p [N(N+1)]^{1/4}; A_{Nj} = 8\pi l_p^2 [\sqrt{N(N+1)} + \sqrt{N(N+1) - j(j+1)} ]. Here both $N$ and $j$ are nonnegative integers or half-integers.