Richard Kerner, Non-linear electrodynamics derived from the Kaluza-Klein 5-dimensional gravity

HyperComplex Seminar 2023, Session B1 (Physics: Ontology of Quantum Mechanics)
Abstract. The lagrangian of the Kaluza-Klein theory, in its simplest ve-dimensional version, should include not only the scalar curvature R, but also the quadratic Gauss-Bonnet invariant. The metric tensor of the ve-dimensional Kaluza-Klein space displays 15 degrees of freedom, includong the space-time metric (10 components), the electromagnetic 4-potential (4 components) and the scalar eld represented by the g55 component. We consider the case where only electromagnetic potential is present on the Minkowskian space-time, and in the absence of scalar eld.
General lagrangian is computed and the resulting non-linear equations which generalize Maxwell's system in a quite unique way are investigated A possibility of the existence of static solutions is presented, and the qualitative behaviour of such solutions as models for the electron is discussed.