University of Khartoum

On the Generalized Maxwell Equations and Their Prediction of Electroscalar Wave

On the Generalized Maxwell Equations and Their Prediction of Electroscalar Wave

Show full item record

Title: On the Generalized Maxwell Equations and Their Prediction of Electroscalar Wave
Author: Arbab, Arbab I.; Satti, Zeinab A.
Abstract: We have formulated the basic laws of electromagnetic theory in quaternion form. The formalism shows that Maxwell equations and Lorentz force are derivable from just one quaternion equation that only requires the Lorentz gauge. We proposed a quaternion form of the continuity equation from which we have derived the ordinary continuity equation. We introduce new transformations that produces a scalar wave and generalize the continuity equation to a set of three equations. These equations imply that both current and density are waves. Moreover, we have shown that the current can not circulate around a point emanating from it. Maxwell equations are invariant under these transformations. An electroscalar wave propagating with speed of light is derived upon requiring the invariance of the energy conservation equation under the new transformations. The electroscalar wave function is found to be proportional to the electric field component along the charged particle motion. This scalar wave exists with or without considering the Lorentz gauge. We have shown that the electromagnetic fields travel with speed of light in the presence or absence of free charges.
URI: http://khartoumspace.uofk.edu/handle/123456789/17618
Date: 2015-12-14


Files in this item

Files Size Format View

This item appears in the following Collection(s)

Show full item record

Share

Search DSpace


Browse

My Account