So I'm trying to understand spinor geometry (and not getting anywhere).
Is it possible to define relative velocity for spinors? (at a point in the manifold similar to How to calculate relative velocity in curved spacetime?) If so, how?
This question was inspired by this: https://math.stackexchange.com/a/2281305/430082
If you have a spinor field, there may be ways to obtain a natural velocity vector. For a Dirac field for example, there is the conserved Dirac current vector field $\bar\psi\gamma^\mu\psi$, which is timelike and future-pointing. You can then normalise it to obtain a 4-velocity vector field. You can compare this velocity (field) to any other velocity, in a standard way. (This answer should be treated as preliminary thoughts, and feedback is welcomed.)
