Octonionic electrodynamics
Dec, 2005Citations per year
Abstract:
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.Note:
- The version accepted by J. Phys. A Subj-class: High Energy Physics - Theory: Mathematical Physics: Rings and Algebras
- 03.50.De
- 02.10.De
- 03.30.+p
- Dirac equation
- Maxwell equation
- magnetic monopole
- octonion
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