Black Hole Entropy from Spin One Punctures

TL;DR

This paper demonstrates that modeling black hole horizons with spin one punctures accurately reproduces the known entropy formula, including the logarithmic correction, and fixes the Immirzi parameter to a specific value.

Contribution

It shows that spin one punctures on the horizon yield the correct black hole entropy and fixes the Immirzi parameter based on quasinormal mode considerations.

Findings

Reproduces the black hole entropy formula with logarithmic correction.

Fixes the Immirzi parameter using quasinormal mode emission.

Confirms the significance of spin one punctures in black hole entropy calculations.

Abstract

Recent suggestion, that the emission of a quantum of energy corresponding to the asymptotic value of quasinormal modes of a Schwarzschild black hole should be associated with the loss of spin one punctures from the black hole horizon, fixes the Immirzi parameter to a definite value. We show that saturating the horizon with spin one punctures reproduces the earlier formula for the black hole entropy, including the $ln (area)$ correction with definite coefficient (- 3/2) for large area.