We derive one- and two-dimensional models for classical electromagnetism by making use of Hadamard’s method descent. Low-dimensional is conceived as a specialization the higher-dimensional one, in which fields are uniform along additional spatial directions. This strategy yields two independent electromagnetisms coordinates four one coordinate.

Two well known theorems in 3D vector calculus are Gauss’s divergence theorem (actually valid in n dimensions), and Stokes’ theorem. We find new ones. They have interesting consequences in elementary classical electromagnetism. There is a natural way to classify possible theorems of this kind and we have found every theorem the classification admits. These theorems ought to be in the usual under...

We first investigate the form the general relativity theory would have taken had the gravitational mass and the inertial mass of material objects been different. We then extend this analysis to electromagnetism and postulate an equivalence principle for the electromagnetic field. We argue that to each particle with a different electric charge-to-mass ratio in a gravitational and electromagnetic...