Quantum Gravity Corrections for Schwarzschild Black Holes

TL;DR

This paper investigates quantum gravity corrections to the Newtonian potential between Schwarzschild black holes within the Matrix theory framework, providing a finite, computable correction that aligns with supergravity predictions.

Contribution

It introduces a long-range quantum gravity correction to black hole interactions in Matrix theory, bridging supergravity and Matrix theory results.

Findings

Quantum gravity correction is finite and computable.

The correction agrees with supergravity predictions up to a numerical factor.

The potential receives a genuine long-range quantum correction.

Abstract

We consider the Matrix theory proposal describing eleven-dimensional Schwarzschild black holes. We argue that the Newtonian potential between two black holes receives a genuine long range quantum gravity correction, which is finite and can be computed from the supergravity point of view. The result agrees with Matrix theory up to a numerical factor which we have not computed.