ON THE INHERENT GEOMETRY OF ELECTROMAGNETISM AND THE GEOMETRY OF ELECTROMAGNETIC SYSTEMS Available to Purchase

The paper explores the geometrical structure of electrodynamics using the algebra of differential forms. Stokes' theorem links the local to the global geometrical features of electromagnetic systems. The gauge invariance of the potentials is shown to be linked to the geometry of a circle in the complex plane, which exhibits the inner geometry of electrodynamics. The total geometry of a system is a combination of this inner geometry with the usual space‐time geometry. The application of these geometrical features to computation is explained.