Astronomical Image Blurring from Transversely Correlated Quantum Gravity Fluctuations

Abstract

Quantum fluctuations in spacetime can, in some cases, lead to distortion in astronomical images of faraway objects. In particular, a stochastic model of quantum gravity predicts an accumulated fluctuation in the path length $\Delta L$ with variance $⟨\Delta L^2⟩\sim l_{p}L$ over a distance $L$, similar to a random walk, and assuming no spatial correlation above length $l_p$; it has been argued that such an effect is ruled out by observation of sharp images from distant stars. However, in other theories, such as the pixellon (modeled on the Verlinde-Zurek (VZ) effect), quantum fluctuations can still accumulate as in the random walk model while simultaneously having large distance correlations in the fluctuations. Using renormalization by analytic continuation, we derive the correlation transverse to the light propagation, and show that image distortion effects in the pixellon model are strongly suppressed in comparison to the random walk model, thus evading all existing and future constraints. We also find that the diffraction of light rays does not lead to qualitative changes in the blurring effect.

arXiv comment11 pages, 4 figures, v2: updated to match journal version, conclusions unchanged

References in corpus (28)

• The Hubble Ultra Deep Field
• Weaving a classical geometry with quantum threads
• The scattering matrix approach for the quantum black hole, an overview
• Solving the Schwarzian via the Conformal Bootstrap
• A Highly Magnified Star at Redshift 6.2
• Limits on the Measurability of Space-time Distances in (the Semi-classical Approximation of) Quantum Gravity
• Selected topics in Planck-scale physics
• Shockwave S-matrix from Schwarzian Quantum Mechanics
• Probing spacetime foam with extragalactic sources
• Measuring the foaminess of space-time with gravity-wave interferometers
• The phase coherence of light from extragalactic sources - direct evidence against first order Planck scale fluctuations in time and space
• Measurement of Quantum Fluctuations in Geometry
• Observational Signatures of Quantum Gravity in Interferometers
• Spacetime Fluctuations in AdS/CFT
• Lack of observational evidence for quantum structure of space-time at Plank scales
• Quantum Cosmological Models
• On Vacuum Fluctuations in Quantum Gravity and Interferometer Arm Fluctuations
• Modular Fluctuations from Shockwave Geometries
• Limits on Spacetime Foam
• New Constraints on Quantum Gravity from X-ray and Gamma-Ray Observations
• Interferometric Tests of Planckian Quantum Geometry Models
• Interferometer Response to Geontropic Fluctuations
• Near-Horizon Quantum Dynamics of 4-d Einstein Gravity from 2-d JT Gravity
• From Shockwaves to the Gravitational Memory Effect
• Discreteness and the transmission of light from distant sources
• Using Observations of Distant Quasars to Constrain Quantum Gravity
• Photons with sub-Planckian Energy Cannot Efficiently Probe Space-Time Foam
• Extracting electromagnetic signatures of spacetime fluctuations

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• Modular Fluctuations in Cosmology
• Phenomenology of Holography via Quantum Coherence on Causal Horizons
• Signatures of Correlation of Spacetime Fluctuations in Laser Interferometers