Quaternionic Analysis and the Algebrodynamics

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dc.creatorKassandrov, Vladimir V.
dc.date2007-10-15
dc.date.accessioned2026-07-07T08:53:43Z
dc.date.available2026-07-07T08:53:43Z
dc.descriptionWe 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.
dc.description32 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/0710.2895
dc.identifierhttp://arxiv.org/abs/0710.2895
dc.identifierIn: "Space-Time Structure. Algebra and Geometry", eds. D.G.Pavlov, Gh. Atanasiu, V.Balan. -- Moscow: Lilia-Print, 2007, pp. 441-473
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/145718
dc.subjectMathematical Physics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.subjectComplex Variables
dc.subject83A05, 83E99, 30G35
dc.titleQuaternionic Analysis and the Algebrodynamics
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