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arXiv · 0710.2895

Quaternionic Analysis and the Algebrodynamics

Vladimir V. Kassandrov
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Abstract

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-like type. For complex quaternions the theory is Lorentz invariant and naturally carries some gauge and twistor structures. Point- and string-like singularities are considered as particle-like formations; their electric charge is ``self-quantized''. A novel ``causal Minkowski geometry with additional phase'' is presented that is induced by the structure of primordial biquaternion algebra. On this geometrical background a self-consistent algebraic dynamics of singularities (``ensemble of dublicons'') is briefly discussed.

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Vladimir V. Kassandrov. 2007-10-15. Quaternionic Analysis and the Algebrodynamics. https://arxiv.org/abs/0710.2895

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