Motivated by the quantum structure of space-time at high scales M_(QG), we study the propagation behavior of the high-energy neutrino within the quantum gravity effect. We consider the possible induced dispersive effect and derive the resulting vacuum refraction index η_(vac)(E_ν) ? 1 + E_ν ~2/M_(QG) 2. Then, by referring to the SN1987A and basing on the recorded neutrino data we approach the corresponding scale M_(QG) ? 10~4 GeV.
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