This question, for example, takes it for granted that double rotations of objects in four-space will naturally tend to decay into isoclinic rotations.
But, why? How does that transfer occur? It seems to me that angular momentum should be independently conserved in each available rotational plane, so transfer between planes should be impossible for a body in isolation. If that is not the case, how can we define a conserved angular momentum in higher-dimensional spaces? And does this momentum transfer depend on physical characteristics of the object? E.g., would a perfectly rigid object be able to maintain non-isoclinic rotation longer than a deformable object (or indefinitely)?
