Eigenvalue Repulsion and Matrix Black Holes

TL;DR

This paper explores how eigenvalue repulsion in matrix models can explain black hole growth holographically, extending classical gas models without relying on effective potentials, and applies Boltzmann statistics to this framework.

Contribution

It introduces a novel explanation for black hole growth using eigenvalue repulsion in matrix theory, bypassing the need for effective potentials and extending previous models.

Findings

Eigenvalue repulsion explains black hole growth holographically.

The model extends beyond the BFKS point to large N.

Boltzmann statistics naturally describe the system.

Abstract

Eigenvalue repulsion can explain the holographic growth of black holes in Matrix theory. The resulting picture is essentially the same as the Boltzman gas picture but avoids any assumption about the effective potential between the D0 branes. Further, eigenvalue repulsion extends the Boltzman gas picture past the BFKS point to N >> S. The use of Boltzman statistics is natural in this picture.