Haneder, Fabian and Urbina, Juan Diego and Moreno, Camilo and Weber, Torsten and Richter, Klaus (2025) Beyond the ensemble paradigm in low-dimensional quantum gravity: Schwarzian density, quantum chaos, and wormhole contributions. PHYSICAL REVIEW D, 111 (12): 126015. ISSN 2470-0010, 2470-0029
Full text not available from this repository. (Request a copy)Abstract
Based on periodic orbit theory, we address the individual-system versus ensemble interpretation of quantum gravity from a quantum chaos perspective. To this end, we show that the spectrum of geodesic motion on high-dimensional hyperbolic manifolds, described by the Selberg trace formula, displays a Schwarzian (sinh 2 pi p) mean level density. Due to its chaotic classical limit, this quantum system also ffiffiffi E shows all universal signatures of quantum chaos. These two properties imply a possible duality to Jackiw-Teitelboim-type quantum gravity at the level of a single system instead of an ensemble of systems like matrix-and Sachdev-Ye-Kitaev models. Moving beyond the universal regime, we show how the full wormhole geometry on the gravity side emerges from the discreteness of the set of periodic orbits. Thereby, we take initial steps towards a duality between gravitational and mesoscopic chaotic quantum systems through the topological, respectively, periodic orbit expansions of their correlators.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | PERIODIC-ORBITS; STATISTICS; SPACE |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics > Chair Professor Richter > Group Klaus Richter |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 15 Jul 2026 09:19 |
| Last Modified: | 15 Jul 2026 09:19 |
| URI: | https://pred.uni-regensburg.de/id/eprint/65955 |
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