  The fundamental structure of the 4-dimensional spacetime is assumed to be the
lorentzian CR-structure (LCR-structure), which contains two correlated
3-dimensional CR-structures. It is defined by explicit Frobenius integrable
relations characterized by "left" and "right" CP(3) points. This LCR-structure
is invariant under a very restrictive tetrad-Weyl symmetry, which permits a
unique special second order partial differential equation applied to a
Yang-Mills field, identified with the gluon field. A class of metrics with the
corresponding self-dual forms are defined. After partially fixing the
tetrad-Weyl symmetry, the electroweak connection is also defined, which is
directly related with the class of LCR-tetrads of the structure. The "free
electron" LCR-structure is identified, which has gravitational and electroweak
potentials (dressings) with fermionic gyromagnetic ratio g=2. The corresponding
massless "neutrino" LCR-structure is also found. These two solitonic
configurations constitute the first leptonic generation identified with the
Petrov type D LCR-structure. The muon and tau leptonic generations are
identified with the Petrov type II and I respectively. Using the electron
LCR-structure, I compute the corresponding quark having an additional gluonic
potential and providing the explication of the lepton-quark correspondence. The
standard model is implied via the causal Bogoliubov, Epstein-Glaser and Scharf
procedure viewed as a targeted harmonic analysis in the rigged Hilbert-Fock
space of precise Poincare representations of the computed geometric structures.
