1998/09/28 by Vladimir V. Kassandrov, V. V. Kassandrov, Kassandrov, V. V. +2
Engineering · Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Geophysics and Sensor Technology #High Energy Physics - Theory (hep-th) #Quantum Physics (quant-ph) #Relativity and Gravitational Theory #gr-qc #hep-th #quant-ph
paper · pdf · doi:10.48550/arxiv.gr-qc/9809078
10 pages, 2 figures, LaTeX 2e, Int. Summer school "Volga-10", Kazan, 1998
arxiv created 1998/09/28 · openalex publication_date 1998/09/28 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The criterion of differentiability of functions of quaternion variable is used as the basis of some algebraic field theory. Its necessary consequences are free Maxwell and Yang-Mills equations. The differentiability equations may be integrated in twistor variables and are reduced to algebraic ones. In the article we present bisingular solution and its topological modifications. Related EM-fields appear to be just the well-known Born solution and its modifications with singular structure of ring-like and toroidal topology. General problems of the algebrodynamical approach are discussed.