Question for any physics person to answer, as I'm still not 100% understanding on this but:
With the phenomena of Neutrino Oscillations, when a neutrino charges flavour (say from electron neutrino to tau neutrino), wouldn't it's velocity change in accordance to it's change of mass to conserve momentum? If not, how is the conservation of momentum justified?
That bugs me a lot. It seems it implies neutrinos have variable velocities as they travel, and perhaps there's a fourth oscillation state (or something happens while in a superposition of two flavours) that somehow achieves FTL (Its mass drops to zero for a moment, giving it all to velocity, or something like that), but the speed averages out as only being a tiny bit faster than light under special circumstances. Hmmm.