Sedeonic equations of electromagnetic field. On the question of symmetry between electricity and magnetism

Abstract: We reformulate the equations of the electromagnetic field in highly symmetric form based on the space-time algebra of sedeons. The role of the Lorentz gauge condition is discussed in detail and a generalization of the gauge (gradient) invariance of the electromagnetic field equations is carried out. The electrodynamics of Dirac monopoles and Schwinger dyons is considered and the dyonic model of charged particles is discussed.

1. V.L. Mironov, S.V. Mironov, Sedeonic equations in field theory, Advances in Applied Clifford Algebras, 30, 44 1-26 (2020).

2. V. L. Mironov, S. V. Mironov, Sedeonic field equations for dyons, Advances in Applied Clifford Algebras, 28(3), 64 1-17 (2018).

mathematical physicsanalysis of PDEsclassical analysis and ODEsdynamical systemsnumerical analysisexactly solvable and integrable systemsfluid dynamics

Audience: researchers in the topic

Mathematical models and integration methods