Black Holes as Quantum Gravity Condensates

TL;DR

This paper models black holes as quantum gravity condensates using group field theory, deriving the entropy and recovering the area law and Bekenstein-Hawking formula through microscopic and entanglement entropy calculations.

Contribution

It introduces a novel approach to modeling black holes as condensates in group field theory, connecting microscopic quantum geometry with macroscopic entropy results.

Findings

Recovered the area law for black hole entropy.

Derived the Bekenstein-Hawking formula from quantum gravity principles.

Entropy is shown to be independent of the Immirzi parameter.

Abstract

We model spherically symmetric black holes within the group field theory formalism for quantum gravity via generalised condensate states, involving sums over arbitrarily refined graphs (dual to 3d triangulations). The construction relies heavily on both the combinatorial tools of random tensor models and the quantum geometric data of loop quantum gravity, both part of the group field theory formalism. Armed with the detailed microscopic structure, we compute the entropy associated with the black hole horizon, which turns out to be equivalently the Boltzmann entropy of its microscopic degrees of freedom and the entanglement entropy between the inside and outside regions. We recover the area law under very general conditions, as well as the Bekenstein-Hawking formula. The result is also shown to be generically independent of any specific value of the Immirzi parameter.