Biquaternion Electrodynamics and Weyl-Cartan Geometry of Space-Time
General Relativity and Quantum Cosmology
2011-04-15 v1
Abstract
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.
Keywords
Cite
@article{arxiv.gr-qc/0007027,
title = {Biquaternion Electrodynamics and Weyl-Cartan Geometry of Space-Time},
author = {V. V. Kassandrov},
journal= {arXiv preprint arXiv:gr-qc/0007027},
year = {2011}
}
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7 pages