If you enjoy reading about this sort of stuff, then whatever floats your boat, but to be perfectly clear: these extra terms and additional scalar field were not

If you enjoy reading about this sort of stuff, then whatever floats your boat, but to be perfectly clear: these extra terms and additional scalar field were not part of Maxwell's theory. The theory of classical electrodynamics is gauge invariant, and in this theory this "magnetic scalar potential" derived from the divergence of the magnetic vector potential is not physically meaningful. P.M. Jack is at least clear about this: > [Maxwell's] work is fundamentally different from that presented here Some of your less honest (or more confused or delusional) sources claim that this is some lost part of Maxwell's theory, likely to lend credence to their anti-gravity / free energy / faster-than-light / perpetual motion woo (discovered and kept secret by the CIA?). (in case it appears I'm unreasonably dismissing this with these references to pseudoscience, I'm not - anti-gravity / free energy / faster-than-light / perpetual motion & the CIA are all discussed in the final researchgate link, not added by me for fun).