Reformulation of electromagnetic and gravito-electromagnetic equations for Lorentz system with octonion algebra

TANIŞLI M., KANSU M. E., DEMİR S.

GENERAL RELATIVITY AND GRAVITATION, cilt.46, sa.5, 2014 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 46 Sayı: 5
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1007/s10714-014-1739-6
  • Dergi Adı: GENERAL RELATIVITY AND GRAVITATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: Octonion, Electromagnetism, Gravito-electromagnetism, Magnetic monopole, Duality transformations, Lorentz transformations, MAXWELLS EQUATIONS, HYPERBOLIC QUATERNIONS, FORMULATION, ELECTRODYNAMICS, PARTICLES, SEDENIONS, DUALITY, GRAVITY, FIELDS, MODEL
  • Anadolu Üniversitesi Adresli: Evet

Özet

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 S' 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 S' reference systems.