  The mathematical notion of foliated cobordism is presented, and its
relationship to both the motion of extended particles and wave motion is
detailed. The fact that wave motion, when represented in such a manner on a
four-dimensional spacetime, leads to a reduction of the bundle of linear frames
to an SO(2)-principle bundle is demonstrated. Invariants of foliated cobordism
are discussed as they relate to the aforementioned cases of motion.
