Foundations of the Electromagnetic Theory

In this paper equations in R3 which are illustrations of “linear” ellipses, i.e. ellipses which tend to become segments of a geodesic of R2, because their eccentricities tend to unit () will be found. During a linearization process of ellipses, varying vectors will be mapped, from which ellipses and their relations in R2 , to varying vector fields and their relations in R3 are defined. These vector fields and their relations in R3 are called “holographic”. At the limit , the holographic relationships are formalistically similar to Maxwell's equations. This is a theoretical derivation of Maxwell’s equations and not a systematic classification of experimental data as Maxwell did.