Quantum Penrose Inequality
arXiv:1908.02755 · doi:10.1103/PhysRevLett.123.241301
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.
arXiv comment5 pages, 3 figures. v2: minor corrections
References in corpus (34)
- Holographic Derivation of Entanglement Entropy from AdS/CFT
- The World as a Hologram
- The Dynamics of General Relativity
- Entropy and Area
- A Covariant Holographic Entanglement Entropy Proposal
- The holographic principle
- A Covariant Entropy Conjecture
- Quantum Extremal Surfaces: Holographic Entanglement Entropy beyond the Classical Regime
- Black Hole Entropy in Canonical Quantum Gravity and Superstring Theory
- Holography in General Space-times
- A Quantum Focussing Conjecture
- Relative entropy and the Bekenstein bound
- Holography and Cosmology
- Proof of Classical Versions of the Bousso Entropy Bound and of the Generalized Second Law
- Proof of the Quantum Null Energy Condition
- The Holographic Principle
- On Holography and Cosmology
- A General Proof of the Quantum Null Energy Condition
- Proof of a Quantum Bousso Bound
- Decoding the Apparent Horizon: A Coarse-Grained Holographic Entropy
- Entropy on a null surface for interacting quantum field theories and the Bousso bound
- A New Area Law in General Relativity
- Present status of the Penrose inequality
- Holographic Proof of the Quantum Null Energy Condition
- Wavefunction of a Black Hole and the Dynamical Origin of Entropy
- The Generalized Second Law implies a Quantum Singularity Theorem
- Proof of a New Area Law in General Relativity
- Light-sheets and Bekenstein's bound
- A Quantum Bousso Bound
- Generalized Second Law for Cosmology
- Ignorance is Cheap: From Black Hole Entropy To Energy-Minimizing States In QFT
- The Boundary of the Future
- A Holographic Argument for the Penrose Inequality in AdS
- Quantum Information Bound on the Energy
Cited by in corpus (9)
- Coarse-Graining Holographic States: A Semiclassical Flow in General Spacetimes
- Quantum Information Bound on the Energy
- Upper bound about cross-sections inside black holes and complexity growth rate
- Quantum censors: backreaction builds horizons
- Unveiling horizons in quantum critical collapse
- Outer entropy = Bartnik-Bray inner mass, and the gravitational ant conjecture
- Distribution and generation of quantum coherence for Gaussian states in de Sitter space
- Cosmic censorship hypothesis and entropy bound on black holes in a canonical ensemble
- A Quantum Weak Cosmic Censorship and Its Proof