Modular Fluctuations from Shockwave Geometries

Abstract

Modular fluctuations have previously been shown to obey an area law $⟨\Delta K^2⟩=⟨K⟩=A/4G_N$. 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.

arXiv comment22 pages, 4 figures

References in corpus (11)

• Generalized gravitational entropy
• The scattering matrix approach for the quantum black hole, an overview
• Solving the Schwarzian via the Conformal Bootstrap
• Scattering at Planckian Energies
• Shockwave S-matrix from Schwarzian Quantum Mechanics
• A universal feature of CFT Renyi entropy
• Aspects of capacity of entanglement
• Observational Signatures of Quantum Gravity in Interferometers
• Spacetime Fluctuations in AdS/CFT
• A Holographic Proof of Rényi Entropic Inequalities
• Snowmass 2021 White Paper: Observational Signatures of Quantum Gravity

Cited by in corpus (24)

• Interferometer Response to Geontropic Fluctuations
• Quantum Null Geometry and Gravity
• From Shockwaves to the Gravitational Memory Effect
• Entanglement, Soft Modes, and Celestial Holography
• Probing RG flows, symmetry resolution and quench dynamics through the capacity of entanglement
• Photon Counting Interferometry to Detect Geontropic Space-Time Fluctuations with GQuEST
• Astronomical Image Blurring from Transversely Correlated Quantum Gravity Fluctuations
• An Infrared On-Shell Action and its Implications for Soft Charge Fluctuations in Asymptotically Flat Spacetimes
• An On-Shell Derivation of the Soft Effective Action in Abelian Gauge Theories
• Quantum Mechanics of a Spherically Symmetric Causal Diamond in Minkowski Spacetime
• Probing the quantum nature of gravity using a Bose-Einstein condensate
• Broadband limits on stochastic length fluctuations from a pair of table-top interferometers
• Rindler Fluids from Gravitational Shockwaves
• Quantum Area Fluctuations from Gravitational Phase Space
• Diamond of Infrared Equivalences in Abelian Gauge Theories
• Angular correlations on causally-coherent inflationary horizons
• Evolution of capacity of entanglement and modular entropy in harmonic chains and scalar fields
• Modular Fluctuations in Cosmology
• Phenomenology of Holography via Quantum Coherence on Causal Horizons
• Thermodynamics of a Spherically Symmetric Causal Diamond in Minkowski Spacetime
• Angular spectrum of quantum fluctuations in causal structure
• The area and volume laws for entanglement of scalar fields in flat and cosmological spacetimes
• Effective density matrix for vacua in asymptotically flat gravity
• From Asymptotically Flat Gravity to Finite Causal Diamonds