I looking up coriolis transport theorem for rotating refrence frames and while reading through this derivation he wrote:
In Newtonian mechanics, scalar quantities must be invariant for any given choice of frame,...
He is refering to the acceleration. I don't know the reasoning for that, but I know that it's clear for the length of the "vector from source to test point" which is scalar and invariant over transformation and rotation.
- Why is acceleration invariant over transformation and rotation?
- Why In Newtonian mechanics, must scalar quantities be invariant for any given choice of frame?
- some rigorous math read for scalar vs invariant "hopfully doesn't include tensors".
- Some history read for scalar vs invariant.