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Turkish Journal of Physics

DOI

10.3906/fiz-1401-14

Abstract

We know that the octonion algebra is the largest division algebra. Therefore, we have discussed the octonion 8-dimensional space as the combination of 2 (external and internal) 4-dimensional spaces. The octonion wave equations in terms of 8 components has been written in terms of an 8 x 8 matrix. Octonion forms of potential as well as fields equations of dyons in terms of an 8 x 8 matrix are discussed in a consistent manner. At last, we have obtained the generalized Dirac-Maxwell equations of dyons in two 4-dimensional spaces, from the 8 x 8 matrix representation of octonion wave equations. Generalized Dirac-Maxwell equations are fully symmetric Maxwell's equations and allow for the possibility of magnetic charges and currents, i.e. analogous to electric charges and currents.

Keywords

Octonions, monopole, dyons, symmetric wave equations, 8 x 8 matrix representation, generalized Dirac-Maxwell equations

First Page

174

Last Page

186

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