"Yet Relativity does not take account of that..."
wrong, that's your categorical error. 'Special Relativity' is not only about, but starts with the clearly stated take-off from Maxwell's electromagnetic theory, by it's title "On the Electrodynamics of Moving Bodies". It is exactly what happens to those wavelength/frequencies, at velocity, and thus the reaction/inductance by recptors that the bare bones geometric hyperbolic function accurately prescribes, that preserves in reality the absolute requirement under Maxwell that there will exist in anything, everywhere, a light velocity proportionate difference between the electrostatic and magnetostatic intensities of any point charge. That's the known and and universally accepted convention in all modern physics. And is only disputed by those whom either haven't studied the physics leading up to it, or who simply do not understand (or like) the theoretical outcome. Seriously, check your six. jrc