Do The Observations of Superluminal Neutrinos Lead to The Model Where Light Speed Increases Over Time?

In the recent research the OPERA collaboration has reported the observation of superluminal neutrinos. They did not state what exact value they used as the speed of light c, but we could safely assume that in accordance to the SI system it was 299,792,458 m/s. In the following research A.G. Cohen and S. L. Glashow showed that “superluminal neutrinos would lose energy rapidly via the bremsstrahlung of electron-positron pairs ” and that “most of the neutrinos would have suffered several pair emissions en route”. This obvious paradox between experiment and theory can easily be resolved if the speed of light is slowly increasing and is now (or at least was during the experiment) higher than in 1970-1980 when mentioned that 299,792,458 m/s was measured. In this case the speed of neutrinos in the OPERA experiment can be higher than 299,792,458 m/s, but at the same time be lower or equal to the current c. Without subscribing to the model where c increases over time, it can still be a good idea to measure the speed of light c during the replication of the experiment. In addition, if slow increase of c will be proven, it may also explain the red shift of distant galaxies without the big-bang theory, since the more distant and earlier periods of time we observe- the slower the light speed there, and less is the energy of photons emitted there; what for current observer appears as a red shift in the spectrum