Key Notes on a Geometric Theory of Fields

Abstract

The role of potentials and sources in electromagnetic and gravitational fields is investigated. A critical analysis leads to the result that sources have to be replaced by integration constants. The existence of spatial boundaries gives reasons for this step. Potentials gain physical relevance first with it. The common view, that fields are “generated” by sources, appears as not tenable. Fields do exist by their own. These insights as well as results from numerical simulations force the conclusion that a Riemannian-geometrical background of electromagnetism and even quantum phenomena cannot be excluded. Nature could differ from abstract geometry in a way that distances and intervals never become infinitesimally small.