Generalised coherent states and combinatorics of horizon entropy

TL;DR

This paper computes the exact state degeneracy for horizon areas in loop quantum gravity using combinatorics, deriving entropy with corrections that decrease exponentially with area, and includes a generalized coherent states approach.

Contribution

It introduces a combinatorial method to exactly count horizon states in loop quantum gravity, extending previous models with generalized coherent states.

Findings

Exact degeneracy of horizon states calculated

Entropy correction decreases exponentially with area

Generalized coherent states include a sum over graphs

Abstract

We calculate the exact degeneracy of states corresponding to the area operator in the framework of semiclassical loop quantum gravity, using techniques of combinatorial theory. The degeneracy counting is used to find entropy of apparent horizons derived from generalised coherent states which include a sum over graphs. The correction to the entropy is determined as exponentially decreasing in area.