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Restricted Quantum Focusing
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Quantum Focusing is a powerful conjecture, which plays a key role in the current proofs of many well-known quantum gravity theorems, including various consistency conditions, and causality constraints in AdS/CFT. I conjecture a (weaker) restricted quantum focusing, which I argue is sufficient to derive all known essential implications of quantum focusing. Subject to a technical assumption, I prove this conjecture on brane-world semiclassical gravity theories which are holographically dual to Einstein gravity in a higher dimensional anti-de Sitter spacetime.
Forward citations
Cited by 2 Pith papers
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Fundamental Complement of a Gravitating Region
A gravitating region's hologram is the spacelike complement of the hologram of its fundamental complement, generalizing entanglement-wedge complementarity to arbitrary spacetimes and recovering AdS/CFT.
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Tests of restricted Quantum Focusing and a new CFT bound
From rQFC, a new CFT bound follows that forbids the QNEC from saturating faster than O(Σ^{d−2}) in near-vacuum states, while rQFC is proven in JT gravity and explicit QFC counterexamples are constructed.
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