Volume 21: Pages 65-67, 2008

Group algebra, magnetic monopoles, and electrodynamics

J. J. Bevelacqua ¹

¹Bevelacqua Resources, Suite 100, 343 Adair Drive, Richland, Washington 99352, USA

Group algebra requirements and the unitary [U(1)] nature of conventional electromagnetic fields place significant restrictions on the duality transformations for the symmetrized Maxwell equations. These restrictions are altered if electrodynamics is assumed to be governed by higher order unitary groups such as SU(2). These higher order group assumptions suggest the electromagnetic force equation for electric and magnetic charges may not be as simple as usually assumed and impact arguments for the existence of magnetic charge.

Keywords: Magnetic Monopoles, U(1) and SU(2) Group Algebra, Maxwell Equations, Duality Transformations

Received: August 20, 2006; Accepted: March 16, 2008; Published Online: December 15, 2008