Octonionic Lorenz-like condition

Pramana

Bernard Jancewicz¹  Murat TaniÅŸli1² 

[1] University of WrocÅ‚aw, Institute of Theoretical Physics, 50-137, WrocÅ‚aw, Poland$$;Anadolu University, Science Faculty, Department of Physics, 26470, EskiÅŸehir, Turkey$$

关键词: Lorenz condition;    octonion;    Maxwell equations;    Klein–Gordon equation;    magnetic monopole.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

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.

【 授权许可】

Unknown