A transverse deformation of the 2+1D de Sitter algebra yields energy-dependent transverse shifts and curvature-induced angular deviations for observers separated by a comoving distance.
Are High-Redshift Quasars Blurry?
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abstract
It has been suggested that the fuzzy nature of spacetime at the Planck scale may cause lightwaves to lose phase coherence, and if severe enough this could blur images of distant point-like sources sufficiently that they do not form an Airy pattern at the focal plane of a telescope. Blurring this dramatic has already been observationally ruled out by images from Hubble Space Telescope (HST), but I show that the underlying phenomenon could still be stronger than previously considered. It is harder to detect, which may explain why it has gone unseen. A systematic search is made in archival HST images of among the highest known redshift quasars. Planck-scale induced blurring may be evident, but this could be confused with partially resolved sources.
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Transverse relative locality effects in de Sitter spacetime
A transverse deformation of the 2+1D de Sitter algebra yields energy-dependent transverse shifts and curvature-induced angular deviations for observers separated by a comoving distance.