A tight constraint on some varying speed of light theories
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We argue that if the velocity of electromagnetic waves in vacuum, \cem, is different from the limiting velocity for massive particles, \cst, then, a proton moving with velocity $\cem < v < \cst$ would radiate Cherenkov radiation. Because we have seen protons with energy $\sim 10^{19}$ eV coming from a distance of order more than 1 Mpc, we can put a constraint on $Δ:= (\cst - \cem)/\cst$: $Δ< 10^{-27}$.
3 pages
3 pages