The entropy and mean separation between energy levels of black hole

TL;DR

This paper addresses the discrepancy between the expected exponential smallness of energy level separation in black holes and the larger value from area quantization, proposing a new statistical interpretation that resolves this inconsistency.

Contribution

It introduces a novel statistical interpretation of black hole entropy that aligns the energy level separation with quantization results.

Findings

The new interpretation yields the correct energy level separation value.

It resolves the discrepancy between statistical and quantization approaches.

Supports the validity of the proposed statistical model.

Abstract

According to the widely accepted statistical interpretation of black hole entropy the mean separation between energy levels of black hole should be exponentially small. But this sharply disagrees with the value obtained from the quantization of black hole area. It is shown that the new statistical interpretation of black hole entropy proposed in my paper arXiv:0911.5635 gives the correct value.