Chaotization inside Quantum Black Holes

TL;DR

This paper proposes that quantum black holes can be modeled as a system of horizonless conic singularities, revealing how their horizon geometry and entropy can be reconstructed and how infalling information becomes chaotic, impacting the information paradox.

Contribution

It introduces a novel model of quantum black holes using conic singularities and links it to the Wheeler-De Witt equation, providing insights into horizon structure and information chaos.

Findings

Reconstruction of horizon geometry from conic singularities

Chaotic infall of information within the system

Implications for black hole entropy and information paradox

Abstract

We show how the horizon geometry and entropy of a Semiclassical Black Hole can be reconstructed from a system of $N>>1$ horizonless conic singularities with average opening angle at the horizon $\langle \Theta \rangle=2\pi$. This conclusion is strongly motivated by a generalized Wheeler-De Witt equation for quantum black holes. We will argument how infalling information will be inevitably chaotized in these systems. A part of the initial probability density will be trapped inside the system, in back and forth scatterings among conic singularities, for a characteristic time close to the Semiclassical BH life-time. Further implications on information paradoxes are discussed.