Discovery of Faraday’s law of self-induction

Maxwell mathematically proved electromagnetic wave emission via his wave equations, and Hertz proved it experimentally. However, Hertz experimented on Henry’s self-induction instead of mutual-induction. An oscillating electric dipole p(t)=Q(t)r with charge Q(t) emits electric dipole radiation because of the external energy, and Faraday’s law shows the relationship between the two charges. Here, we have first discovered the existence of a new Faraday’s law of self-induction, which only requires charge Q(t) and that an electromagnetic wave is a method of emitting the received external energy for Q(t) to return to the stable state according to Lenz’s law. Second, when the inapplicability of relativistic electromagnetism to the Lorentz force was analysed based on the above facts, we additionally discovered that observers in different inertial systems could physically distinguish charges generating electric fields from those generating magnetic fields because the physical phenomena between the perspectives of mass and charge differ.