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- Title
Reformulation of electromagnetic and gravito-electromagnetic equations for Lorentz system with octonion algebra.
- Authors
Tanışlı, Murat; Kansu, Mustafa; Demir, Süleyman
- Abstract
In this paper, the real, complex octonion algebra and their properties are defined. The electromagnetic and gravito-electromagnetic equations with monopoles in terms of S and $$\hbox {S}^{\prime }$$ reference systems are presented in vector notations. Additionally, the duality transformations of gravito-electromagnetic situation for two reference systems are also represented. Besides, it is explained that Maxwell-like equations for gravito-electromagnetism are also invariant under Lorentz transformations. By introducing complex octonionic differential operator, a new generalized complex octonionic field term consisting of electromagnetic and gravito-electromagnetic components has been firstly suggested for Lorentz system. Afterwards, a complex octonionic source equation is obtained as in basic way, more compact and elegant notation. By defining a new complex octonionic general potential term, the field equation is attained once again. The components of complex octonionic field and wave equations are written in detailed for S and $$\hbox {S}^{\prime }$$ reference systems.
- Subjects
ELECTROMAGNETIC theory; GRAVITATION; LORENZ equations; MAGNETIC monopoles; CAYLEY numbers (Algebra); WAVE-particle duality; MATHEMATICAL transformations
- Publication
General Relativity & Gravitation, 2014, Vol 46, Issue 5, p1
- ISSN
0001-7701
- Publication type
Article
- DOI
10.1007/s10714-014-1739-6