Completing Maxwell's equations by symmetrization

Maxwell's equations have allowed to obtain, for more than 100 years, a large number of results in electricity, magnetism, optics, wave theory, etc. But the antisymmetry between electric and magnetic fields is not completely respected in Maxwell's equations. By developing a theory where this antisymmetry is respected, a more complete set of equations is obtained in which the electromagnetic tensor is the divergence of a third-order tensor made up from electric and magnetic potentials. In particular, the Lorentz equations are included in these divergence equations and do not appear as a necessary trick. Electric fields produced by rotating magnets are then deduced.