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c=nu*lambda; nu=frequency and lambda=wavelength
The unit of frequency is cycles per second and that of wavelength is a displacement. Therefore, dimensional analysis provides you with displacement per second. Also, many electric and magnetic fields travel at speeds different from the speed of light, both faster and slower. Faster ones make it out of black holes, which ones depends on the escape velocity of black holes. The question you want to ask is how can we know theoretically that the matter eaten by the black hole conducts, and well, which we know from the electric and magnetic fields that escape from it near the axis of rotation.