Time delay in κ-anti-de Sitter spacetime

Based on deformed translations in the κ-anti-de Sitter algebra, we derive a delay in the time of detection between a soft and a hard photon, which are simultaneously emitted at a distant event, to first order in the quantum gravity parameter. In the basis analyzed, the trajectories are undeformed, a...

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Bibliographic Details
Published inPhysics letters. B Vol. 855; p. 138864
Main Author Lobo, Iarley P.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.08.2024
Elsevier
Subjects
Anti-de Sitter spacetime
Deformed special relativity
Lorentz invariance
Time delays
Time delays
Lorentz invariance
Deformed special relativity
Anti-de Sitter spacetime
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Summary:Based on deformed translations in the κ-anti-de Sitter algebra, we derive a delay in the time of detection between a soft and a hard photon, which are simultaneously emitted at a distant event, to first order in the quantum gravity parameter. In the basis analyzed, the trajectories are undeformed, and the effect depends exclusively on the symmetry properties of the quantum algebra. The time delay depends linearly on the energy of the hard particle and has a sinusoidal dependence on the redshift of the source.
ISSN:0370-2693
1873-2445
DOI:10.1016/j.physletb.2024.138864