Biquaternion electrodynamics and Weyl-Cartan geometry of space-time
1995Citations per year
Abstract: (arXiv)
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.- talk: Yaroslavl 1995/06/18
- space-time
- geometry: Weyl-Cartan
- algebra: quaternion
- gauge field theory: Yang-Mills
- spinor
- differential equations: eikonal
- electromagnetic field
- charge: electric
- charge: quantization
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