Hyperbolic Quaternion Formulation of Electromagnetism

DEMİR S., TANIŞLI M., CANDEMİR N.

ADVANCES IN APPLIED CLIFFORD ALGEBRAS, vol.20, no.3-4, pp.547-563, 2010 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 20 Issue: 3-4
  • Publication Date: 2010
  • Doi Number: 10.1007/s00006-010-0209-9
  • Journal Name: ADVANCES IN APPLIED CLIFFORD ALGEBRAS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.547-563
  • Keywords: Hyperbolic quaternion, electromagnetism, magnetic monopole, MAXWELL EQUATIONS, ELECTRON THEORY, DIRAC, CLIFFORD, ALGEBRA, ELECTRODYNAMICS, REFORMULATION, HYPERNUMBERS, OCTONIONS, GEOMETRY
  • Anadolu University Affiliated: Yes

Abstract

In this paper, after presenting the hyperbolic quaternion formalism, an alternative representational method is proposed for the formulation of classical and generalized electromagnetism in the case of the existence of magnetic monopoles and massive photons. Maxwell's equations and relevant field equations are derived in compact, simpler and elegant forms. These equations are compared with their vectorial, complex quaternionic, dual quaternionic and octonionic representations.