Algebrodynamical approach in field theory: Bisingular solution and its modifications
Jun, 1998Citations per year
Abstract: (arXiv)
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.- talk: Kazan 1998/06/22
- axiomatic field theory
- algebra: quaternion
- Maxwell equation
- field equations: Yang-Mills
- Einstein-Maxwell equation
- twistor
- singularity
- particle: transmutation
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