Electromagnetism from 5D gravity: beyond the Maxwell equations

Ever with the work of Kaluza, it has been known that 4D Einstein- and Maxwell-type equations emerge from for 5D gravity, in Ricci-flat space-times having a space-like Killing vector. We revisit these compare them Maxwell Ohm’s law. Although gravity traditional electromagnetic theory are mathematically related, paradigm shift concepts is required unification. First, both law found among field which turns into equation. Second, concept 4-current density, bringing together electrical charge current no longer fundamental resulting gravity. Third, suggest generalization model perfect conductor, to describe broader range phenomena bypass density. thus propose an amendment equations, based on discuss few applications. Namely, we propagation waves through imperfect conductor topics electrostatics magnetostatics, touching ground Hall effect phenomenon persistent current.