Statistical Origin of Black Hole Entropy in Matrix Theory

TL;DR

This paper explores the statistical origin of black hole entropy within M-theory by connecting Matrix theory to thermodynamic entropy calculations, providing a new perspective on black hole microstates.

Contribution

It establishes a link between Matrix theory and the Gibbons-Hawking calculation, offering a novel approach to understanding black hole entropy in M-theory.

Findings

Mapping of the counting problem to Gibbons-Hawking entropy calculation

Insight into the microstates responsible for black hole entropy

Support for Matrix theory as a valid framework for black hole thermodynamics

Abstract

The statistical entropy of black holes in M-theory is considered. Assuming Matrix theory is the discretized light-cone quantization of a theory with eleven-dimensional Lorentz invariance, we map the counting problem onto the original Gibbons-Hawking calculation of the thermodynamic entropy.