Holographic Entropy Packing inside a Black Hole

TL;DR

This paper proposes a model where black holes have a core of vanishing volume with universal entropy proportional to surface area, reconciling holographic bounds and avoiding singularities.

Contribution

It introduces a phase transition model for black holes with a novel core structure that preserves holographic entropy bounds and removes singularities.

Findings

Black hole interior entropy equals quarter of surface area.

Core of vanishing volume replaces horizon in the model.

Non-singular Komar mass and energy functions.

Abstract

If general relativity is spontaneously induced, the black hole limit is governed by a phase transition which occurs precisely at the would have been horizon. The exterior Schwarzschild solution then connects with a novel core of vanishing spatial volume. The Kruskal structure, admitting the exact Hawking imaginary time periodicity, is recovered, with the conic defect defused at the origin, rather than at the horizon. The entropy stored inside \textbf{any} interior sphere is universal, equal to a quarter of its surface area, thus locally saturating the 't Hooft-Susskind holographic bound. The associated Komar mass and material energy functions are non-singular.