Konu "Octonion" için Makale Koleksiyonu listeleme
Toplam kayıt 7, listelenen: 1-7
-
Elec tromagnetic energy conservation with complex octonions
(2012)Octonions are the eight dimensional hypercomplex numbers that form a noncommutative and nonassociative division algebra. In this study, a general framework for the real, complex octonions and their algebra are provided by ... -
Generalized Hyperbolic Octonion Formulation for the Fields of Massive Dyons and Gravito-Dyons
(Springer/Plenum Publishers, 2013)The close analogy between electromagnetic theory and linear gravity is discussed by the hyperbolic (split) octonion formalism. Using the similarities between the relevant field equations of massive dyons in electromagnetic ... -
Hyperbolic Octonion Formulation of Gravitational Field Equations
(Springer/Plenum Publishers, 2013)In this paper, the Maxwell-Proca type field equations of linear gravity are formulated in terms of hyperbolic octonions (split octonions). A hyperbolic octonionic gravitational wave equation with massive gravitons and ... -
Hyperbolic octonion formulation of the fluid Maxwell equations
(Korean Physical Soc, 2016)The equations of compressible ideal fluids analogous to those of electromagnetism are reformulated in terms of hyperbolic octonions. Furthermore, the wave equations with source terms are generalized in a compact and elegant ... -
Octonionic Lorenz-like condition
(Indian Acad Sciences, 2012)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 ... -
Reformulation of electromagnetic and gravito-electromagnetic equations for Lorentz system with octonion algebra
(Springer/Plenum Publishers, 2014)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 ... -
Representation of electromagnetic and gravitoelectromagnetic Poynting theorems in higher dimensions
(TUBITAK, 2014)This study investigates whether the electromagnetic and gravitoelectromagnetic energy conservation equations are obtained together by using octonion algebra or not. Maxwell and Maxwell-like equations for linear gravity ...