1. Spatial rotations alone are also Lorentz transformations they leave the spacetime interval invariant.2. For the kinematics of rotation in three dimensions, see quaternions and spatial rotation . 3. In representation theory, this corresponds to decomposing perturbations under the group of spatial rotations . 4. Thus quaternions are a preferred method for representing spatial rotations see quaternions and spatial rotation. 5. Thus quaternions are a preferred method for representing spatial rotations see quaternions and spatial rotation . 6. It is, in fact, already the subject of the article quaternions and spatial rotation . 7. That is to say, any spatial rotation can be decomposed into a combination of principal rotations. 8. :: Quaternions are used to represent rotations in 3D and 4D space-see Quaternions and spatial rotation . 9. It is true that spatial rotations always mix two space dimensions and never mix the time with a apatial dimension. 10. The map from unit quaternions to rotations of 3D space described in quaternions and spatial rotation is also a universal cover.
