Octonionic Lorenz-like condition

TANIŞLI M., Jancewicz B.

PRAMANA-JOURNAL OF PHYSICS, vol.78, no.2, pp.165-174, 2012 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 78 Issue: 2
  • Publication Date: 2012
  • Doi Number: 10.1007/s12043-011-0219-8
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.165-174
  • Keywords: Lorenz condition, octonion, Maxwell equations, Klein-Gordon equation, magnetic monopole, MAXWELLS EQUATIONS, ELECTROMAGNETISM, ELECTRODYNAMICS, FORM
  • Anadolu University Affiliated: Yes


In this study, the octonion algebra and its general properties are defined by the Cayley-Dickson's multiplication rules for octonion units. The field equations, potential equations and Maxwell equations for electromagnetism are investigated with the octonionic equations and these equations can be compared with their vectorial representations. The potential and wave equations for fields with sources are also provided. By using Maxwell equations, a Lorenz-like condition is newly suggested for electromagnetism. The existing equations including the photon mass provide the most acknowledged Lorenz condition for the magnetic monopole and the source.