Abstract
It has been suggested that the interactions of energetic particles with the foamy structure of space-time thought to be generated by quantum-gravitational (QG) effects might violate Lorentz invariance, so that they do not propagate at a universal speed of light. We consider the limits that may be set on a linear or quadratic violation of Lorentz invariance in the propagation of energetic neutrinos, v/c = [1 ± (E/MvQG1)] or [1 ± (E/MvQG2)2], using data from supernova explosions and the OPERA long-baseline neutrino experiment.
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