Spectral Line Broadening and Angular Blurring due to Spacetime Geometry Fluctuations
arXiv:gr-qc/0601137 · doi:10.1103/PhysRevD.74.024012
Abstract
We treat two possible phenomenological effects of quantum fluctuations of spacetime geometry: spectral line broadening and angular blurring of the image of a distance source. A geometrical construction will be used to express both effects in terms of the Riemann tensor correlation function. We apply the resulting expressions to study some explicit examples in which the fluctuations arise from a bath of gravitons in either a squeezed state or a thermal state. In the case of a squeezed state, one has two limits of interest: a coherent state which exhibits classical time variation but no fluctuations, and a squeezed vacuum state, in which the fluctuations are maximized.
21 pages, 2 figures. Dedicated to Raphael Sorkin on the occasion of his 60th birthday. (v2: several references added and some minor errors corrected)
References in corpus (13)
- Quantum Gravity Phenomenology, Lorentz Invariance and Discreteness
- Stochastic Gravity: Theory and Applications
- Quantum-Gravitational Diffusion and Stochastic Fluctuations in the Velocity of Light
- Gravitons and Lightcone Fluctuations
- Lightcone fluctuations in flat spacetimes with nontrivial topology
- The Effects of Stress Tensor Fluctuations upon Focusing
- Wave Propagation in Stochastic Spacetimes: Localization, Amplification and Particle Creation
- Probing Planck-scale Physics with Extragalactic Sources?
- Stochastic Gravity
- Gravitational Quantum Limit for Length Measurements
- On Wigner's clock and the detectability of spacetime foam with gravitational-wave interferometers
- Stochastic Spacetime and Brownian Motion of Test Particles
- Fundamental physics in space: a Quantum-Gravity perspective
Cited by in corpus (29)
- Quantum Spacetime Phenomenology
- How Far Are We from the Quantum Theory of Gravity?
- Probability distributions for quantum stress tensors in four dimensions
- White Paper and Roadmap for Quantum Gravity Phenomenology in the Multi-Messenger Era
- Motion in time-periodic backgrounds with applications to ultralight dark matter haloes at galactic centers
- Probability Distributions for Quantum Stress Tensors Measured in a Finite Time Interval
- Enhanced Black Hole Horizon Fluctuations
- Spacetime foam: a review
- Local and gauge invariant observables in gravity
- Quantum Lightcone Fluctuations in Compactified Spacetimes
- Graviton Corrections to Maxwell's Equations
- Quantum Stress Tensor Fluctuations of a Conformal Field and Inflationary Cosmology
- Brownian Motion in Robertson-Walker Space-Times from electromagnetic Vacuum Fluctuations
- Experimental Search for Quantum Gravity
- An Analog Model for Quantum Lightcone Fluctuations in Nonlinear Optics
- Quantum astrometric observables I: time delay in classical and quantum gravity
- Vacuum Quantum Stress Tensor Fluctuations: A Diagonalization Approach
- Enhanced Geometry Fluctuations in Minkowski and Black Hole Spacetimes
- Quantum astrometric observables II: time delay in linearized quantum gravity
- Space and Time Averaged Quantum Stress Tensor Fluctuations
- Fully renormalized stress tensor correlator in flat space
- Non-Cancellation of Quantum Geometry Fluctuations
- Spacetime geometry fluctuations and geodesic deviation
- Quantum superpositions of the speed of light
- Parametric-resonance based phenomenology of gravitating axion configurations
- Gravitational frequency shift of light signals in a pulsating dark matter halo
- Quantum Stress Tensor Fluctuation Effects in Inflationary Cosmology
- Gravity's weight on worldline fuzziness
- Quantum Fluctuations of Fields and Stress Tensors