Verlinde, Erik and Zurek, Kathryn M. (2022) Modular Fluctuations from Shockwave Geometries. . (Unpublished) https://resolver.caltech.edu/CaltechAUTHORS:20220816-192428135
![]() |
PDF
- Submitted Version
See Usage Policy. 713kB |
Use this Persistent URL to link to this item: https://resolver.caltech.edu/CaltechAUTHORS:20220816-192428135
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: |
| ||||||||
ORCID: |
| ||||||||
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: |
| ||||||||
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 |
Repository Staff Only: item control page