Beyond the ensemble paradigm in low dimensional quantum gravity: Schwarzian density, quantum chaos and wormhole contributions

URN to cite this document:: urn:nbn:de:bvb:355-epub-594425
DOI to cite this document:: 10.5283/epub.59442

Haneder, Fabian

; Urbina, Juan Diego

; Moreno, Camilo

; Weber, Torsten

; Richter, Klaus

License: Creative Commons Attribution 4.0
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Date of publication of this fulltext: 29 Oct 2024 07:00

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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 2π√E) mean level density. Due to its chaotic classical limit, this quantum system ...