In the below post to sci.physics I discuss how a Deciding Experiment would prove that the Maxwell Equations derives all of Quantum Mechanics, in that some physics is not explainable by QM but is explained by Maxwell Equations. Such as when a electron spirals into the nucleus and when not.
However, as soon as I posted that, I realized the proof is very very simple, in that if we list the 4 Maxwell Equations, a trick of mathematics proving, and then add up those equations, we end up with a huge single equation. That huge single equation is the Dirac Equation, only a far better Dirac equation for it is more general than the Dirac Equation. That means the very pinnacle of Quantum Mechanics-- the Dirac Equation is a specialized and localized and subset of the 4 Maxwell Equations.
QM cannot derive the 4 Maxwell Equations, but the 4 can derive all the principles of QM and even its pinnacle equation of the Dirac Equation.
Few minutes ago I wrote in sci.physics:
Deciding Experiments to tell if Bohr Quantum Mechanics is true or whether Maxwell Eq governs atoms #1722 Atom Totality 5th ed
Now I never in my wildest dreams from age 20 to 60 thought I would be tearing down the pillars of Quantum Mechanics and replacing all that physics with the Maxwell Equations. But fortunately or unfortunately, here I am in the midst of that tearing down.
Through the years I have often posted how to derive some of the principles of Quantum Mechanics from the Maxwell Equations. Such as the Pauli Exclusion Principle comes directly out of the Coulomb force law, for if you had two electrons with identical 4 quantum numbers, then electrons do not repel one another in the Coulomb law. Or that principle of Quantum Mechanics that the electron of hydrogen does not spiral into the proton nucleus because of Lenz's law, for it did, Lenz's law does not exist. Or, the Heisenberg Uncertainty Principle is simply the Maxwell Equations program that electricity is dual to magnetism, for you never can have electricity without having magnetism alongside. Which immediately takes all the mystery out of the double slit experiment that Feynman was so engrossed and enamored by.
But now, let us graduate to another level of this fighting war of the Maxwell Equations toppling the Quantum Mechanics.
If Quantum Mechanics is nothing more than the Maxwell Equations in some disguise, and where all of Quantum Mechanics is derived from the Maxwell Equations, then there should be some Physics for which Quantum Mechanics is deaf dumb and silent, whereas it is a natural phenomenon of the Maxwell Equations.
In other words, a DECIDING EXPERIMENT, which Maxwell Equations explains but which QM is silent.
What I am thinking is that the Bohr Atom is dependent on speed of the electron. The ground-state of the Bohr atom should not be breached with a spiraling electron falling into the nucleus.
However, Maxwell Equations stops the spiraling due to Lenz's law. But the Lenz's law can be breached, provided the electron is energetic enough.
In synopsis, the Bohr Atom never has spiraling, it has no mechanism other than to state that electrons fall no further than the ground state. The Maxwell Equations of Lenz's law has the ground state as a comfort zone for the electron, but if the electron is energized it will spiral into the nucleus, not because of Coulomb attraction by the proton, but because the Lenz's law was overtaken by the electron.
So to use electrons as bullets to hit the nucleus is verification of Maxwell, not Bohr QM. And there are many decay forms such as electron capture, where the nucleus captures and electron where again this is possible by Maxwell Equations, not by ad hoc principles of QM.
In the future, we will not only prove Maxwell Equations are the true physics, but will also condense physics to the 4 Maxwell Equations, rather than the soap opera of today where physicists have a vast collection of tens, hundreds of principles of QM. Why waste time with hundreds of principles when they simply are just 4 Equations. Well, ask that of your illogical physics professor, of how many principles of QM does he/she believe in and why bother when (sic) the 4 Maxwell Equations derives them all.