Non-linear Electrodynamics Derived from Kaluza-Klein 5-Dimensional Gravity

Explore a 55-minute conference talk from the HyperComplex Seminar 2023, Session B1 on Physics: Ontology of Quantum Mechanics. Delve into the intricacies of non-linear electrodynamics derived from Kaluza-Klein 5-dimensional gravity theory. Examine the inclusion of both scalar curvature R and quadratic Gauss-Bonnet invariant in the Kaluza-Klein theory's Lagrangian. Understand the 15 degrees of freedom in the five-dimensional Kaluza-Klein space metric tensor, including space-time metric, electromagnetic 4-potential, and scalar field components. Focus on the case of electromagnetic potential in Minkowskian space-time without scalar field presence. Investigate the resulting non-linear equations that generalize Maxwell's system and their unique properties. Consider the possibility of static solutions and discuss their qualitative behavior as potential models for the electron.