Causality & holographic entanglement entropy
Why is this work in the frame?
A frame that forgets how it found something cannot be audited. These are the routes that admitted this work.
No Canadian affiliation. An affiliation-only frame — the usual design — would never have seen this work. It is one of the works that make the case for inverting the frame.
Machine scores (provisional)
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
- Teacher spread
- 0.220 · how far apart the two teachers sit on this one work
- Validation status
score_only:v0-immature-baseline· verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it
Abstract
We identify conditions for the entanglement entropy as a function of spatial region to be compatible with causality in an arbitrary relativistic quantum field theory. We then prove that the covariant holographic entanglement entropy prescription (which relates entanglement entropy of a given spatial region on the boundary to the area of a certain extremal surface in the bulk) obeys these conditions, as long as the bulk obeys the null energy condition. While necessary for the validity of the prescription, this consistency requirement is quite nontrivial from the bulk standpoint, and therefore provides important additional evidence for the prescription. In the process, we introduce a codimension-zero bulk region, named the entanglement wedge, naturally associated with the given boundary spatial region. We propose that the entanglement wedge is the most natural bulk region corresponding to the boundary reduced density matrix.
Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.
The record
- Venue
- Journal of High Energy Physics
- Topic
- Black Holes and Theoretical Physics
- Field
- Physics and Astronomy
- Canadian institutions
- —
- Funders
- Science and Technology Facilities CouncilUniversity of British ColumbiaFoundational Questions InstituteAspen Center for PhysicsU.S. Department of EnergyUniversiteit van AmsterdamUniversity of CambridgeBrandeis UniversityAmbrose Monell FoundationNational Science Foundation
- Keywords
- Quantum entanglementSquashed entanglementPhysicsJoint quantum entropyEntropy (arrow of time)Covariant transformationCausality (physics)Topological entropy in physicsStatistical physicsQuantum relative entropyQuantum mechanicsMathematicsQuantum discordQuantum
- Has abstract in OpenAlex
- yes