If the calculations are correct, and the neutrinos have some mass, what do you suppose is happening?
I was talking to a physicist friend of mine and I propsed the following.
String theory allows/requires many dimensions. It is theorized that these dimensions are tightly coiled in such a small space that they are unnoticed by the large scale, much like the earth seems flat to us because it is so large. To simplify the imagery, suppsose the coils are like the grades on a screw. Some screws are wider than others and some have more coils around the center. Suppose the neutrinos are bound to dimensions that have slightly shorter paths and photons slightly larger pathed dimensions. Then a neutrino could reach a point faster than photon by "skipping" distance the photon must travel. It may only be noticeable under high energies because.of the difference in distances of the paths on the dimensions.
Of course I don't have nearly a substantial enough background.in physics to back it up. Normally I just coke up with crazy ideas and he tells me why I'm wrong. But he said he isn't touching this issue because he doesn't even have enough background in physics.