A Quantum Penrose Inequality is conjectured, replacing trapped-surface area with lightsheet generalized entropy, and is tested against a semiclassical counterexample.
The Boundary of the Future
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abstract
We prove that the boundary of the future of a surface $K$ consists precisely of the points $p$ that lie on a null geodesic orthogonal to $K$ such that between $K$ and $p$ there are no points conjugate to $K$ nor intersections with another such geodesic. Our theorem has applications to holographic screens and their associated light sheets and in particular enters the proof that holographic screens satisfy an area law.
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Quantum Information Bound on the Energy
A Quantum Penrose Inequality is conjectured, replacing trapped-surface area with lightsheet generalized entropy, and is tested against a semiclassical counterexample.