Octonionic Electrodynamics

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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The version accepted by J. Phys. A

Scientific paper

10.1088/0305-4470/39/22/020

Dirac's operator and Maxwell's equations in vacuum are derived in the algebra
of split octonions. The approximations are given which lead to classical
Maxwell-Heaviside equations from full octonionic equations. The non-existence
of magnetic monopoles in classical electrodynamics is connected with the using
of associativity limit.

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