Octonic massless field equations

DEMİR S., TANIŞLI M., Kansu M. E.

International Journal of Modern Physics A, cilt.30, sa.15, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 30 Sayı: 15
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1142/s0217751x15500840
  • Dergi Adı: International Journal of Modern Physics A
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: Octons, Clifford algebra, gravi-electromagnetism, Dirac-Maxwell equations, RELATIVISTIC QUANTUM-MECHANICS, HYPERBOLIC QUATERNIONS, GRAVI-ELECTROMAGNETISM, GRAVITATIONAL-FIELD, CONIC SEDENIONS, FORMULATION, DYONS
  • Anadolu Üniversitesi Adresli: Evet

Özet

© 2015 World Scientific Publishing Company.In this paper, it is proven that the associative octons including scalar, pseudoscalar, pseudovector and vector values are convenient and capable tools to generalize the Maxwell-Dirac like field equations of electromagnetism and linear gravity in a compact and simple way. Although an attempt to describe the massless field equations of electromagnetism and linear gravity needs the sixteen real component mathematical structures, it is proved that these equations can be formulated in terms of eight components of octons. Furthermore, the generalized wave equation in terms of potentials is derived in the presence of electromagnetic and gravitational charges (masses). Finally, conservation of energy concept has also been investigated for massless fields.