Year: 2023
Type: article
Abstract: Two spatial regions $B$ and $R$ are hyperentangled if the generalized entropy satisfies ${S}_{\mathrm{gen}}^{B\ensuremath{\cup}R}<{S}_{\mathrm{gen}}^{R}$. If in addition all future (or all past) directed inward null shape deformations of $B$ decrease ${S}_{\mathrm{gen}}^{B\ensuremath{\cup}R}$, then we show that the causal development of $B$, with $R$ held fixed, must be incomplete. This result eliminates the null energy condition from the assumptions of a recently proven singularity theorem. Instead, we assume a quantum version of the Bousso bound. Taking $R$ to contain the Hawking radiation after the Page time, our theorem predicts a singularity in the past causal development of the black hole interior. This is surprising because the classical spacetime is nonsingular in the past. However, one finds that Cauchy slices that are required to contain $R$ do not remain in the semiclassical regime. The quantum singularities predicted by our theorem are an obstruction to further semiclassical evolution, generalizing the singularities of classical general relativity.
Authors: Raphael Bousso, Arvin Shahbazi-Moghaddam
Institutions: University of California, Berkeley, Stanford University
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
Awards: G1286236842, G1414775356, G1816284028, G1863003419, G3083819904, G365575497, G419881185, G42916606, G4501827968, G498139845, G543303420, Particles, Strings and Gravity in a Dynamical Universe, THE GEOMETRY AND FLOW OF QUANTUM INFORMATION: FROM QUANTUM GRAVITY TO QUANTUM TECHNOLOGY, G6652958823, Research in Particle Theory, Cosmology, and Quantum Gravity, G759921648, G805243471, THE GEOMETRY AND FLOW OF QUANTUM INFORMATION: FROM QUANTUM GRAVITY TO QUANTUM TECHNOLOGY, G969889393
OpenAlex ID: W4282969500