Original scientific paper

Interpretations of octonion wave equations

P. S. Bisht ; Department of Physics, Kumaun University, S. S. J. Campus, Almora - 263601 (Uttarakhand), India
B. Pandey ; Department of Physics, Kumaun University, S. S. J. Campus, Almora - 263601 (Uttarakhand), India
O. P. S. Negi ; Institute of Theoretical Physics, Chinese Academy of Sciences, KITP Building Room No.- 6304, Hai Dian Qu Zhong Guan Chun Dong Lu, 55 Hao, Beijing - 100080, P. R. China

Abstract

The interpretations of octonion wave equations in eight-dimensional space-time is studied. We made an attempt to consider the octonion field equation as the equation of motion for particles carrying simultaneously electric and magnetic charges (i.e. dyons) in external and internal spaces. It has been concluded that the component of octonion potential wave equations behaves neither as the generalized electromagnetic fields of monopoles nor of the dyons. Rather, it has a mixed behaviour of electromagnetic fields associated with the electric and magnetic charges in external and internal spaces. We have also made an attempt to investigate the split octonion wave equation and its interpretation in classical electrodynamics, and accordingly the consistent and compact forms of eight-dimensional potential and current equation of dyons are obtained in terms of Zorn's vector matrix realization of split octonions. Visualizing the external four-space as the localization space for tachyons, it is shown that the split octonion wave equation reduces to the Maxwell's equation (field equation) for bradyons in R4-space as well as that for tachyons in T4- space in the absence of other.

Keywords

octonion wave equation; eight-dimensional space-time; dyons; Zorn's vector matrix; bradyons; tachyons

Hrčak ID:

304907

URI

https://hrcak.srce.hr/304907

Publication date:

1.9.2008.

Article data in other languages: croatian

Visits: 572 *