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math-ph2023
Algebrodynamics: Shear-Free Null Congruences and New Types of Electromagnetic Fields
Vladimir V. Kassandrov, Joseph A. Rizcallah, Ivan A. Matveev
We briefly present our version of noncommutative analysis over matrix algebras, the algebra of biquaternions () in particular. We demonstrate that any -differ…
math-ph2007★ 4 cited
Quaternionic Analysis and the Algebrodynamics
Vladimir V. Kassandrov
We present the ``algebrodynamical'' approach to field-particle theory based on a nonlinear generalization of the Cauchy-Riemann conditions to non-commutative algebras of quaternion…
math-ph2003★ 5 cited
General Solution of the Complex 4-Eikonal Equation and the "Algebrodynamical" Field Theory
Vladimir V. Kassandrov
We explicitly demonstrate the existence of twistor and ambitwistor structure for the 4-dimensional complexified eikonal equation (CEE) and present its general solution consisting o…