# Singularity reversal of Schwarzschild black holes in Anti-de-Sitter

## TL;DR

This paper proposes replacing the singularity in Schwarzschild Anti-de-Sitter black holes with a non-metastable de-Sitter core, potentially altering late-time correlators and holographic complexity, and offering insights into black hole evaporation and the Page Curve.

## Contribution

It introduces a novel non-metastable de-Sitter patch as a replacement for the singularity in Schwarzschild Anti-de-Sitter spacetimes, with implications for holography and black hole information.

## Key findings

- De-Sitter core modifies late-time correlators.
- Regulates divergences in holographic complexity.
- Provides a potential solution to the Page Curve problem.

## Abstract

We propose a non-metastable de-Sitter infinitesimal patch as a replacement for the theoretical singularity that occurs during the description of maximally extended Schwarzschild Anti-de Sitter spacetimes. This corresponds to a highly non-perturbative modification of the entangled sector or a dual thermofield double state. We speculate that the de-Sitter core may alter late-time correlators, regulate divergences, and appear as a deformation in the growth of holographic complexity. The description involves a copy of the conformal field theory associated with Israel Junction conditions and an entangled state. We also discuss a version of the possible solution of the Page Curve via. The evaporation of non-metastable space its range of impact in its solution.

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Source: https://tomesphere.com/paper/2509.00013