Published November 15, 2022
| Published
Journal Article
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Modular fluctuations from shockwave geometries
- Creators
-
Verlinde, Erik
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Zurek, Kathryn M.
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.
Additional Information
Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by SCOAP3. 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 No. 2021-2817. The work of K. Z. 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.Attached Files
Published - PhysRevD.106.106011.pdf
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PhysRevD.106.106011.pdf
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Additional details
- Eprint ID
- 122197
- Resolver ID
- CaltechAUTHORS:20230710-599244800.7
- Heising-Simons Foundation
- 2021-2817
- Department of Energy (DOE)
- DE-SC0011632
- SCOAP3
- Created
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2023-08-10Created from EPrint's datestamp field
- Updated
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2023-08-14Created from EPrint's last_modified field
- Caltech groups
- Walter Burke Institute for Theoretical Physics