Lorentz transformations for whole electromagnetic fields

Abstract

A fourth light interpretation leads on the presence of fields with a same Lorentz nature. It says that Lorentz representations should be associated to a fields family. Studying on the (12,12) representation there is a potential fields family {AμI} which brings the presence of the so-called whole electromagnetism. Thus, the electromagnetic phenomena is extended from Maxwell. From the original fields set {AμI}, it appears new electromagnetic fields, sectors and charges that go beyond to the usual pair {→E−→B} to a new branch of electromagnetic fields {→EI−→BI,→e−→b;εI,→εI,βIij,s,→s,sij}, new electromagnetic sectors identified as photonic, massive, neutral which bring anothers contributions to that one given by the electric charge, as charges and currents depending on fields. Also the Lorentz force is extended. This work motivation is to study on the corresponding Lorentz transformations. Describe how these whole electromagnetic fields and forces transform under Lorentz transformations and invariants are obtained.