Abstract
Using a form of modified dispersion relations derived in thecontext of quantum geometry, we investigate limits set bycurrent observations on potential corrections to Lorentzinvariance. We use a phenomological model in which there areseparate parameters for photons, leptons and hadrons. Constraints on these parameters are derived using thresholds forthe processes of photon stability, photon absorption, vacuumCerenkov radiation, pion stability and the GZK cutoff. Although the allowed region in parameter space is tightlyconstrained, non-vanishing corrections to Lorentz symmetry dueto quantum geometry are consistent with current astrophysicalobservations.
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