ABSTRACT
The mathematics of the classical Kepler problem allows us to construct a specific non-Euclidean geometry, which can be shown to arise quite naturally from the requirement that the Kepler orbit should be closed. This chapter shows that the nucleus of planetary atom may be taken as a portion of space where the matter is continuous, just as the philosophical principles of general relativity demand. The classical mode in which the matter fills the space is by continuity, described through the Newtonian concept of density, which is established by comparison, via Archimedes law for fluids. A metric can be always produced through the mathematical idea of confinement. Therefore, in the general terms allowed by our senses for the idea of ‘bulk’, by the Cayley’s procedure of constructing metrics based on an absolute, a space region of any shape can always be considered as confined inside a closed space surface.
