Quantum Information Bound on the Energy
arXiv:1909.02001 · doi:10.1103/PhysRevD.100.126010
Abstract
According to the classical Penrose inequality, the mass at spatial infinity is bounded from below by a function of the area of certain trapped surfaces. We exhibit quantum field theory states that violate this relation at the semiclassical level. We formulate a Quantum Penrose Inequality, by replacing the area with the generalized entropy of the lightsheet of an appropriate quantum trapped surface. We perform a number of nontrivial tests of our proposal, and we consider and rule out alternative formulations. We also discuss the relation to weak cosmic censorhip.
arXiv comment47 pages, 10 figures
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- Quantum Penrose Inequality
- Entanglement Entropy in Jackiw-Teitelboim Gravity
- Repulsive gravity effects in horizon formation. Horizon remnants in naked singularities
- 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
- Cosmic censorship hypothesis and entropy bound on black holes in a canonical ensemble
- A Quantum Weak Cosmic Censorship and Its Proof