Theoretical research on real part of the black hole’s quasi-regular mode frequency

Abstract

The expression of real part of Schwarzschild black hole’s asymptotically quasi-regular mode frequency is deduced strictly using the black hole horizon area which is given by loop quantum gravitation theory and the first law of black hole thermodynamics. The possible quasi-regular mode spectrums of Schwarzschild black hole are given by analyzing the smallest spin value j min. The results show that the invariant real part of black hole quasi-regular mode frequency happens to be completely consistent with Hod’s guess when j min=1. As a result, the study provides the theoretical basis for the origin of real part of Schwarzschild black hole’s quasi-regular mode frequency.