Generalized Hyperbolic Octonion Formulation for the Fields of Massive Dyons and Gravito-Dyons

被引:32
作者
Demir, Suleyman [1 ]
Tanisli, Murat [1 ]
Kansu, Mustafa Emre [2 ]
机构
[1] Anadolu Univ, Fac Sci, Dept Phys, TR-26470 Eskisehir, Turkey
[2] Dumlupinar Univ, Fac Art & Sci, Dept Phys, TR-43100 Kutahya, Turkey
关键词
Octonion; Field equations; Proca-Maxwell equations; Dyon; MODEL; QUATERNIONS; PARTICLES; EQUATION;
D O I
10.1007/s10773-013-1675-3
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
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 theory and gravito-dyons in linear gravity, a new mathematical model is proposed to formulate these fields in a compact and simple form. The generalized wave equation including both massive dyon and monopole terms is derived. Similarly, the most generalized form of hyperbolic octonionic Klein-Gordon equation is obtained for the hypothetical particle carrying simultaneously both electromagnetic and gravitational charges (masses).
引用
收藏
页码:3696 / 3711
页数:16
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