  The generalized Cauchy-Riemann equations (GCRE) in biquaternion algebra
appear to be Lorentz-invariant. The Laplace equation is in this case replaced
by a nonlinear (complexified) eikonal equation. GCRE contain the 2-spinor and
the gauge structures, and their integrability conditions take the form of
free-source Maxwell and Yang-Mills equations. For the value of electric charge
from GCRE only the quantization rule follows, as well as the treatment of
Coulomb law as a stereographic map. The equivalent geometrodynamics in a
Weyl-Cartan affine space and the conjecture of a complex-quaternion structure
of space-time are discussed.
