ABSTRACT
A surface should play a double role in physics. First, it plays the obvious role of separator. The second role of the surface is closer to the regular mathematical role, that of locus of an ensemble of positions in the geometrical acceptance. In the second instance, the surface allows the mathematical description and the consequent physical understanding of that property of the material points of penetrating without merging. Élie Cartan’s exterior differential approach to the theory of surfaces, allows us to say that the local differential theory of surfaces is simply a consequence of the fact that the elementary (differential) displacement of a point of surface is an intrinsic vector of that surface. The surface on which a Kepler orbit lies can be fully described by deformations. The deformation is generated by forces, and these forces can be taken as deciding the surface parametrization necessary to a ‘Švec stage’, so to speak, in defining the physics of surface.
