# Quantum-corrected geometry of horizon vicinity

## TL;DR

This paper investigates how quantum gravitational effects deform the geometry near horizons, suggesting the presence of a Firewall and implications for information storage in black hole and cosmological horizons.

## Contribution

It introduces a quantum-corrected horizon-vicinity geometry, highlighting the role of matter action and proposing the Firewall as part of the deformation.

## Key findings

- Quantum effects cause significant horizon deformation.
- Firewall-like energy appears for infalling observers.
- Information may be stored in both horizon vicinity and boundary.

## Abstract

We study the deformation of the horizon-vicinity geometry caused by quantum gravitational effects. Departure from the semi-classical picture is noted, and the fact that the matter part of the action comes at a higher order in Newton's constant than does the Einstein-Hilbert term is crucial for the departure. The analysis leads to a Firewall-type energy measured by an infalling observer for which quantum generation of the cosmological constant is critical. The analysis seems to suggest that the Firewall should be a part of such deformation and that the information be stored both in the horizon-vicinity and asymptotic boundary region. We also examine the behavior near the cosmological horizon.