Topological geometrodynamics. I: Basic theoretical framework (Q1081142)

[For part II, cf. the review below.] Topological geometrodynamics (TGD) is an attempt to a unified description of fundamental interactions based on the assumption that physically allowed space-times are representable as submanifolds of the space, which is a Cartesian product of Minkowski space (or possibly of its light cone) and of some compact space S. This paper is the first one in the series intended for the presentation of TGD. The basic ideas of TGD are represented and it is shown that \({\mathbb{C}}P_ 2\), the complex projective space of two complex dimensions, is the simplest choice of the space S providing explanation for the known elementary particle quantum numbers provided a topological explanation for the family replication phenomenon, emerging naturally in TGD framework, is accepted.