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Quantum Penrose Inequality

High Energy Physics - Theory 2019-12-18 v2 General Relativity and Quantum Cosmology

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.

Keywords

Cite

@article{arxiv.1908.02755,
  title  = {Quantum Penrose Inequality},
  author = {Raphael Bousso and Arvin Shahbazi-Moghaddam and Marija Tomasevic},
  journal= {arXiv preprint arXiv:1908.02755},
  year   = {2019}
}

Comments

5 pages, 3 figures. v2: minor corrections