Counting the Apparent Horizon

TL;DR

This paper derives the semiclassical entropy of Schwarzschild spacetime as the apparent horizon area using a discrete spectrum for expectation values in black hole coherent states.

Contribution

It introduces a novel approach to compute black hole entropy via a discrete spectrum in coherent states, linking quantum expectations to classical horizon area.

Findings

Semiclassical entropy equals the apparent horizon area.

Uses a discrete spectrum for expectation values in black hole states.

Provides a new quantum gravitational perspective on black hole entropy.

Abstract

Using a discrete spectrum proposed for expectation values of canonical variables in black hole coherent states, the semiclassical entropy associated with the Schwarzschild space-time is derived to be the area of the apparent horizon.