Origins of the experimentally observable (and extremely intricated!) structure of fundamental interactions, of their laws, intensities and scale dependence still look as an enigma. It might seem that cardinal solution to this eternal problem is hidden in the geometry of physical space-time. However, the Minkowski geometry is too "soft" and allows for a wide variety of relativistic invariant interactions, if even the gauge invariance of the scheme is required. As to various geometries of extended space-time, at present they seem quite indefinite by themselves and, moreover, do not predetermine in any way a distinguished structure of physical dynamics.That is why, from time to time, one can meet articles dealing with the most profound, elementary notions of physics and reformulations of these on the basis of geometry, algebra, number theory, etc. We are aware that such attempts had been undertaken, say, by P.A.M. Dirac, A. Eddington and J.A. Wheeler.Particularly, one of the most beautiful and striking ideas dealing with the foundations of theoretical physics is the Wheeler-Feynman's conjecture on the so-called "one-electron Universe". In his famous telephone call to R. Feynman [1], J. Wheeler said: "Feynman, I know why all electrons have the same charge and the same mass. ... Because they are all the same electron!". In fact, this conjecture based on the notion of a set of particles located on a single worldline easily explains the property of identity of elementary particles of one kind, the processes of annihilation/creation of a pair of "particle-antiparticle" (in which one treats a "positron" as an "electron" running backwards in time [2]) etc.In his Nobel lecture [1] Feynman, one of creators of QED, confessed that his true goal was the establishment of correlations of an ensemble of identical (point-like or smeared, to avoid field divergences) particles on a single worldline through their alonglight-cone interactions and on the base of a unique Lagrange function. Unfortunately, the "one-electron Universe" paradigm had not been fully realized; one of the reasons for this is its failure to explain the particle-antiparticle asymmetry; other more essential reasons will be revealed below.Remarkably, this paradigm gains natural development in the framework of complex