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Observational Limits on Quantum Geometry Effects
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Using a form of modified dispersion relations derived in the context of quantum geometry, we investigate limits set by current observations on potential corrections to Lorentz invariance. We use a phenomological model in which there are separate parameters for photons, leptons, and hadrons. Constraints on these parameters are derived using thresholds for the processes of photon stability, photon absorption, vacuum Cerenkov radiation, pion stability, and the GZK cutoff. Although the allowed region in parameter space is tightly constrained, non-vanishing corrections to Lorentz symmetry due to quantum geometry are consistent with current astrophysical observations.
Forward citations
Cited by 2 Pith papers
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Constraining Lorentz invariance violation from the depth of air-shower maximum
A simulation-based toy analysis of Auger Xmax data yields M_LIV > 1.5e21 GeV (95% CL) for subluminal photon-sector Lorentz invariance violation, subject to simplified detector and composition assumptions.
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Vacuum Cherenkov radiation for nonminimal dimension-5 Lorentz violation
Isotropic dimension-5 Lorentz violation in fermions is constrained to below 1e-18 GeV^-1 (proton, m-type) and 3e-28 GeV^-1 (proton, a-type) by the absence of vacuum Cherenkov radiation in cosmic rays.
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