Abstract
Recently a series of analyses on the flight time of cosmic photons and neutrinos suggests that the speed of light in vacuo takes the energy-dependent form v(E)≃1−E/ELIVγ with ELIVγ≈3.6×1017GeV, and meanwhile the speed of neutrinos is proposed to be v(E)≃1±E/ELIVν with ELIVν≈6.5×1017GeV and ± representing the helicity dependence. This novel picture immediately urges us to provide a satisfactory theoretical explanation. Among all the attempts to predict the speed variations from quantum gravity, we find that loop quantum gravity can serve as a good candidate for explaining the aforementioned picture consistently.
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