How Information Crosses Schwarzschild's Central Singularity

TL;DR

This paper explores the extension of spacetime through Schwarzschild's singularity, proposing a quantum-inspired model where information can cross the singularity, potentially explaining the purification of Hawking radiation.

Contribution

It introduces a natural extension of spacetime across the singularity based on quantum geometry, linking black hole interior structure to entropy bounds and information transfer.

Findings

Extension is independent of black hole fate

Central region contains causal diamonds with large entropy

Supports the idea that information crosses the singularity to purify Hawking radiation

Abstract

We study the natural extension of spacetime across Schwarzschild's central singularity and the behavior of the geodesics crossing it. Locality implies that this extension is independent from the future fate of black holes. We argue that this extension is the natural $\hbar\!\to\!0$ limit of the effective quantum geometry inside a black hole, and show that the central region contains causal diamonds with area satisfying Bousso's bound for an entropy that can be as large as Hawking's radiation entropy. This result sheds light on the possibility that Hawking radiation is purified by information crossing the internal singularity.