On the Quantum Mechanics of Maxwell's Equations

This paper gives the heuristic viewpoint that electrodynamics operates on both the quantum and classical mechanical scales. Maxwell’s four equations are compared to the four quantum numbers, four angular momenta phenomena, the four quantisation states of the electromagnetic field and the three unitary symmetry groups. It is found that an exact correspondence exists to each of them. The result of this comparative analysis of Maxwell’s equations with the above phenomena leads to the undeniable proof that not only does electromagnetism operate at the quantum scale, but that the unification of the quantum scale with the laws of classical electrodynamics, concomitantly occurs, thus leading to the unification of all mechanical states. This comparative analysis of Maxwell’s equations permits the recognition of the three unitary symmetry groups within electromagnetism which in turn provides coherence between the classical laws of electrodynamics and the current standard model of physics. It is found that when Maxwell’s equations are perceived through the lens of unitary symmetry group states and not through the lens of the particle state as in QED, there arises a coherence between the classical and quantum mechanics.