Tombe, Frederick David
Mechanics / Electrodynamics
February 14, 2022
Lorenz gauge, Coulomb gauge, electron-positron dipole, aether, Ampère’s Circuital Law, displacement current, James Clerk Maxwell, speed of light
Displacement current was originally conceived by James Clerk Maxwell in 1861 in connection with linear polarization in a dielectric solid which he believed to pervade all of space. Modern textbooks however adopt a different approach. The official teaching today is that displacement current is a consequence of extending the original solenoidal Ampère’s Circuital Law to embrace the conservation of electric charge. Yet, unless either of these two methods leads to a displacement current that is related to Faraday’s Law of Induction, then it cannot serve its main purpose, which is to provide a bridge between Ampère’s Circuital Law and Faraday’s Law, hence enabling the derivation of the electromagnetic wave equations. This matter will be investigated in both the Coulomb gauge and the Lorenz gauge.