Topological Roots of Black Hole Entropy

TL;DR

This paper explores the topological aspects of black hole entropy through dimensional continuation, analyzing horizon properties and quantum formulations like the path integral and Wheeler-De Witt equation.

Contribution

It introduces a topological perspective on black hole entropy, emphasizing the role of horizon area and deficit angle as conjugate variables in a novel framework.

Findings

Horizon area and deficit angle are canonically conjugate variables.

Path integral and Wheeler-De Witt extension provide new insights into black hole quantum states.

Topological methods offer a fresh approach to understanding black hole entropy.

Abstract

We review the insights into black hole entropy that arise from the formulation of gravitation theory in terms of dimensional continuation. The role of the horizon area and the deficit angle of a conical singularity at the horizon as canonically conjugate dynamical variables is analyzed. The path integral and the extension of the Wheeler-De Witt equation for black holes are discussed.