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Supernova explosions provide the most sensitive probes of neutrinopropagation, such as the possibility that neutrino velocities might be affectedby the foamy structure of space-time thought to be generated byquantum-gravitational (QG) effects. Recent two-dimensional simulations of theneutrino emissions from core-collapse supernovae suggest that they mightexhibit variations in time on the scale of a few milliseconds. We analyzesimulations of such neutrino emissions using a wavelet technique, and considerthe limits that might be set on a linear or quadratic violation of Lorentzinvariance in the group velocities of neutrinos of different energies, v/c = [1\pm (E/M_{nuLV1})] or [1 \pm (E/M_{\nuLV2})^2], if variations on such shorttime scales were to be observed, where the mass scales M_{nuLVi} might appearin models of quantum gravity. We find prospective sensitivities to M_{nuLV1} ~2 X 10^{13} GeV and M_{nuLV2} ~ 10^6 GeV at the 95% confidence level, up to twoorders of magnitude beyond estimates made using previous one-dimensionalsimulations of core-collapse supernovae. We also analyze the prospectivesensitivities to scenarios in which the propagation times of neutrinos of fixedenergies are subject to stochastic fluctuations.

Probing Lorentz Violation in Neutrino Propagation from a Core-Collapse Supernova