Quantum Gravity and Black Hole Entropy

TL;DR

This paper reviews a quantum field theory framework that is Poincaré invariant, gauge invariant, finite, and unitary, and applies it to quantum gravity, demonstrating a finite Bekenstein-Hawking entropy through renormalization near black hole horizons.

Contribution

It introduces a finite, unitary quantum gravity theory and provides a method to compute a finite black hole entropy via renormalization at the horizon.

Findings

Quantum gravity is finite and unitary to all orders.

Bekenstein-Hawking entropy can be renormalized to be finite.

The approach applies a conical Rindler space approximation.

Abstract

The basic features of a quantum field theory which is Poincar\'e invariant, gauge invariant, finite and unitary to all orders of perturbation theory are reviewed. Quantum gravity is finite and unitary to all orders of perturbation theory. The Bekenstein-Hawking entropy formula for a black hole is investigated in a conical Rindler space approximation to a black hole event horizon. A renormalization of the gravitational coupling constant is performed leading to a finite Bekenstein-Hawking entropy at the horizon.