On the quantization of the noncommutative geometry inspired black hole

TL;DR

This paper explores the quantization of noncommutative geometry-inspired black holes by replacing continuous functions with discrete sums, revealing a discrete mass spectrum and temperature consistent with known results.

Contribution

It introduces a novel quantization approach for black holes in noncommutative geometry, replacing the incomplete gamma function with a discrete sum to derive discrete spectra.

Findings

Black hole mass spectrum is discrete.

Black hole temperature spectrum is discrete.

Results align with continuous models.

Abstract

Black holes in noncommutative geometry background are considered to be quantized in accordance with the holographic principle. Incomplete gamma function involving the effective black hole mass is replaced by a discrete sum. The mass spectrum as well as the temperature of black holes is presented. The spectra are discrete ones but the shapes are very consistent with the known continuous results.