Further remarks on de Sitter space, extremal surfaces, and time entanglement
Sep 30, 202331 pages
Published in:
- Phys.Rev.D 109 (2024) 8, 086009
- Published: Apr 5, 2024
e-Print:
- 2310.00320 [hep-th]
DOI:
- 10.1103/PhysRevD.109.086009 (publication)
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Abstract: (APS)
We develop further the investigations by Narayan [de Sitter space, extremal surfaces, and time entanglement, Phys. Rev. D 107, 126004 (2023)] on de Sitter space, extremal surfaces, and time entanglement. We discuss the no-boundary de Sitter extremal surface areas as certain analytic continuations from AdS while also amounting to space-time rotations. The structure of the extremal surfaces suggests a geometric picture of the time-entanglement or pseudo-entanglement wedge. We also study some entropy relations for multiple subregions. The analytic continuation suggests a heuristic Lewkowycz-Maldacena formulation of the extremal surface areas. In the bulk, this is now a replica formulation on the Wavefunction, which suggests interpretation as pseudo-entropy. Finally, we also discuss aspects of future-past entangled states and time evolution.Note:
- Latex, 34pgs, many figs, v2,v3: entropy inequalities further expanded, clarifications added, title slightly altered, v4: one typo fixed, minor clarifications added
- space: de Sitter
- space-time: rotation
- surface
- entanglement
- anti-de Sitter
References(0)
Figures(8)
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