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Modular Fluctuations from Shockwave Geometries

Verlinde, Erik and Zurek, Kathryn M. (2022) Modular Fluctuations from Shockwave Geometries. . (Unpublished) https://resolver.caltech.edu/CaltechAUTHORS:20220816-192428135

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Abstract

Modular fluctuations have previously been shown to obey an area law ⟨ΔK²⟩= ⟨K⟩ = A/4G_N. Furthermore, modular fluctuations generate fluctuations in the spacetime geometry of empty causal diamonds. Here we demonstrate the physical origin of these fluctuations, showing that the modular area law, in d−dimensionsal Minkowski space, can be reproduced from shockwaves arising from vacuum fluctuations. The size of the vacuum fluctuations is fixed by commutation relations in light-ray operators, of the same form postulated by 't Hooft in the context of black hole horizons.


Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription
http://arxiv.org/abs/2208.01059arXivDiscussion Paper
ORCID:
AuthorORCID
Zurek, Kathryn M.0000-0002-2629-337X
Additional Information:We thank Tom Banks, Yanbei Chen, Temple He, Cynthia Keeler, Vincent Lee and Allic Sivaramakrishnan for discussion on these directions. We are supported by the Heising-Simons Foundation “Observational Signatures of Quantum Gravity” collaboration grant 2021-2817. The work of KZ is also supported by a Simons Investigator award and the U.S. Department of Energy, Office of Science, Office of High Energy Physics, under Award No. DE-SC0011632.
Group:Walter Burke Institute for Theoretical Physics
Funders:
Funding AgencyGrant Number
Heising-Simons Foundation2021-2817
Simons FoundationUNSPECIFIED
Department of Energy (DOE)DE-SC0011632
Record Number:CaltechAUTHORS:20220816-192428135
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20220816-192428135
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:116316
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:16 Aug 2022 22:48
Last Modified:16 Aug 2022 22:48

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