- #1
lalbatros
- 1,256
- 2
Hello,
A recent paper by Cohen and Glashow argued recently that FTL neutrinos would quickly lose energy by pair creation (in vacuum).
Starting from the principle of inertia, I had a hard time trying to understand that.
According the principle of inertia, the physics should be the same in any frame of reference.
Therefore, it should not depend on the speed of the neutrinos, except for the mere coordinate transformation to/from the reference frame of a fast neutrino. So, on this basis, the fast decay would simply be the result of a slower decay in the proper frame of the neutrino converted in a faster decay in the laboratory frame. (except that the neutrino frame of reference is FTL!)
However, the decay rate calculated by Cohen and Glashow are not obvioulsy related to such a simple change of coordinate. They are not covariant, maybe only because of approximations in the derivation.
Therefore, I would like to understand if the principle of inertia could be compatible with the Cohen and Glashow scheme where physics is different for FTL particles?
What am I missing?
How should covariance be understood when there is FTL side in the story?
Thanks for teaching me a few things,
Michel
A recent paper by Cohen and Glashow argued recently that FTL neutrinos would quickly lose energy by pair creation (in vacuum).
Starting from the principle of inertia, I had a hard time trying to understand that.
According the principle of inertia, the physics should be the same in any frame of reference.
Therefore, it should not depend on the speed of the neutrinos, except for the mere coordinate transformation to/from the reference frame of a fast neutrino. So, on this basis, the fast decay would simply be the result of a slower decay in the proper frame of the neutrino converted in a faster decay in the laboratory frame. (except that the neutrino frame of reference is FTL!)
However, the decay rate calculated by Cohen and Glashow are not obvioulsy related to such a simple change of coordinate. They are not covariant, maybe only because of approximations in the derivation.
Therefore, I would like to understand if the principle of inertia could be compatible with the Cohen and Glashow scheme where physics is different for FTL particles?
What am I missing?
How should covariance be understood when there is FTL side in the story?
Thanks for teaching me a few things,
Michel