Octonic Electrodynamics

Physics – Mathematical Physics

Scientific paper

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13 pages, 1 figure

Scientific paper

In this paper we represent the new eight-component values "octons", generating associative noncommutative algebra. It is shown that electromagnetic field in a vacuum can be discribed by octonic generalized equation, which leads both to the wave equations for potentials and fields and to the system of Maxwell equations. The octonic algebra allows to perfom compact combined calculations simultaneously with scalars, vectors, pseudoscalars and pseudovectors. As the example of such calculations the derivation of the relations for energy, momentum and Lorentz invariants of electromagnetic field is demonstrated. The generalized octonic equation for electromagnetic field in a matter is formulated.

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