Göttingen 2025 – wissenschaftliches Programm

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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 10: Operator Algebras

MP 10.2: Vortrag

Donnerstag, 3. April 2025, 14:30–14:50, ZHG001

Black Hole Microstates and the Factorisation puzzle — •Jonathan Karl, Souvik Banerjee, and Johanna Erdmenger — Julius-Maximilians-Universität Würzburg

In holography, two manifestations of the black hole information paradox are given by the non-isometric nature of the bulk-boundary map and by the factorisation puzzle. By considering time-shifted microstates of the eternal black hole, we demonstrate that both these puzzles may be simultaneously resolved by taking into account non-local quantum corrections that correspond to wormholes arising from state averaging. This is achieved by showing, using a resolvent technique, that the resulting Hilbert space for an eternal black hole in Anti-de Sitter space is finite-dimensional with a discrete energy spectrum. The latter gives rise to a transition to a type I von Neumann algebra.

Keywords: Black Hole Microstates; Factorisation Puzzle; Non-Isometric map; von Neumann algebra; Non-locality