Generalized Split-Octonion Electrodynamics
arXiv:1011.3922 · doi:10.1007/s10773-011-0706-1
Abstract
Starting with the usual definitions of octonions and split octonions in terms of Zorn vector matrix realization, we have made an attempt to write the consistent form of generalized Maxwell's equations in presence of electric and magnetic charges (dyons). We have thus written the generalized potential, generalized field, and generalized current of dyons in terms of split octonions and accordingly the split octonion forms of generalized Dirac Maxwell's equations are obtained in compact and consistent manner. This theory reproduces the dynamic of electric (magnetic) in the absence of magnetic (electric) charges.
Abstract Key Words: Split octonions, Zorn Vector Matrix Realizations, Monopoles and dyons; Abstract PACS: 14.80 Hv
References in corpus (6)
- Octonionic Electrodynamics
- Generalized Octonion Electrodynamics
- Generalized Space-time Supersymmetries, Division Algebras and Octonionic M-theory
- Unified Split Octonion Formulation of Dyons
- The symmetry algebras of Euclidean M-theory
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- Contrastive analysis of two energy gradients in the ultra-strong magnetic fields
- Some coordinate transformations relevant to refractive indices
- Dirac and Maxwell systems in split octonions
- Split octonionic Dirac equation