ABSTRACT

Since the time our prehistoric ancestors first portrayed motion by scratching a line in the dirt with the point of a spear, we have most naturally described dynamics with trajectories-paths though space parameterized by time. This eventually became formalized in the classical mechanics of particles by Newton, Lagrange, Hamilton, and others. Despite the formidable mathematical sophistication that classical dynamics can exhibit, the primordial intuition of matter being composed of things that can be found at a definite place at a given time remains at its foundation.