# Quantum Penrose Inequality

## TL;DR

This paper proposes a Quantum Penrose Inequality linking total energy to quantum information measures, extending classical concepts into the semiclassical quantum gravity regime.

## Contribution

It introduces the first conjecture connecting quantum information, via generalized entropy, to total energy in quantum gravity.

## Key findings

- Conjecture of a quantum lower bound on mass based on generalized entropy.
- Extension of classical Penrose inequality into semiclassical quantum gravity.
- Establishes a new link between quantum information and gravitational energy.

## Abstract

The classical Penrose inequality specifies a lower bound on the total mass in terms of the area of certain trapped surfaces. This fails at the semiclassical level. We conjecture a Quantum Penrose Inequality: the mass at spatial infinity is lower-bounded by a function of the generalized entropy of the lightsheet of appropriate quantum trapped surfaces. This is the first relation between quantum information in quantum gravity, and the total energy.