Thanks for the explanation DF. I'll expound a bit on my own perspective, to clarify why I think your idea of "matter waves" is insufficient. Like I explained earlier, the Michelson-Morley type experiments indicate that the medium of electromagnetic waves, and what composes the "matter" of massive bodies is likely one and the same substance. However, I think it is a mistake to characterize an object with mass as a wave activity in this substance.
I know it is true that electrons may simply be represented as waves, and electrons are also designated as having mass, but the quantity of mass of an electron is so tiny relative to the overall mass of a an atom, this need to assign mass to a wave feature (electron) may readily be attributed to possible faults in the mass/energy equivalence theory. It may be the case that it is a mistake to say that an electron has mass. A slight fault in the theory, along with the customary procedure of assigning quantities of mass according to what the theory predicts, would produce the need to assign mass to that wave phenomenon which is called "an electron", when electrons really ought to be represented as pure wave features without any mass.
From this perspective, I'll point to a few spots where I have criticism of your explanation.
So, electrons, an essential constituent of every atom, are waves. Every property previously explained using the particle assumption can be explained by their wave nature. On the other hand, no wave property is explained by the particle assumption. That means the particle hypothesis is falsified. — Dfpolis
This is a conclusion made about electrons only, not the other parts of an atom, being the massive nucleus. So what has been falsified, by your argument, from my perspective, is the theory that electrons are particles with mass. This supports what I have said above, that electrons ought not be represented as having mass, and should be represented entirely as waves. This would imply that the interaction between radiant energy and electric energy is completely an interaction of waves. And it would force the need to further analyze the relationship between the atom's nucleus being expressed with a positive charge, and it's electrons having a negative charge.
The current need to assign mass to the electron appears to be the result of a lack of understanding of the relationship between the massive nucleus and the wave features. I propose that the waves of electromagnetic radiation are affected, altered, by interaction with the nucleus (rather than to conventional representation of an interaction with electrons), making electrons and electromagnetic radiation one wave structure instead of interacting waves, and the characteristics of this wave phenomena is the result of, effect of, the activity/inactivity of the nucleus.
The nucleus causes changes to the electromagnetic field, and vise versa, and we understand these changes as electrons. Accordingly, all electron phenomenon would need to be understood in terms of relations between massive nuclei and electromagnetic field. Radiation would be an extension of this, eliminating the need for complex and unnecessary electron/photon relationships.
We have since found that wave mechanics also applies to protons and neutrons, the constituents of atomic nuclei. Every part of atoms, which constitute both ordinary and ionized matter, behaves like a wave. None is a point particle, or a hard object with a well-defined edge. That physics has nothing more to say about what is vibrating does not mean that the constituents of matter do not oscillate in both space and time in well-defined ways. So, ordinary matter is made of waves. That is what I mean by "matter waves." — Dfpolis
This is where I find the most significant fault with your proposed theory. I believe it is simply not the case that wave mechanics can explain the massive nucleus of an atom. And "mass" is what is most properly related to "matter". Mass is what provides the stability for the temporal continuity of sameness manifesting as "inertia" in common physics. The fact that wave mechanics cannot explain the existence of mass ,may be understood through a glimpse into the mechanics of the strong interactive force. This force accounts for the vast majority of "known" mass, and the rest of "known" mass may be dismissed in the way described above as applicable to the mass of an electron, simplifying calculations. Here's a passage from the Wikipedia article on the strong force. After considering the reality of this force, please reconsider whether you truly believe that the nucleus of an atom can be represented with wave mechanics. If you still do, maybe you can explain it to me.
The strong force acts between quarks. Unlike all other forces (electromagnetic, weak, and gravitational), the strong force does not diminish in strength with increasing distance between pairs of quarks. After a limiting distance (about the size of a hadron) has been reached, it remains at a strength of about 10,000 newtons (N), no matter how much farther the distance between the quarks.[7] As the separation between the quarks grows, the energy added to the pair creates new pairs of matching quarks between the original two; hence it is impossible to isolate quarks. The explanation is that the amount of work done against a force of 10,000 newtons is enough to create particle–antiparticle pairs within a very short distance of that interaction. The very energy added to the system required to pull two quarks apart would create a pair of new quarks that will pair up with the original ones. In QCD, this phenomenon is called color confinement; as a result only hadrons, not individual free quarks, can be observed. The failure of all experiments that have searched for free quarks is considered to be evidence of this phenomenon. — https://en.wikipedia.org/wiki/Strong_interaction
But, if there is no body, why would we expect it to have a well-defined (point) location or arrival time? — Dfpolis
The particle is understood to behave under the principles of Newtonian mechanics. Therefore it has momentum, and mass is a requirement for momentum. And the reality of mass is observed through the effects of gravity which constitutes empirical evidence for the concept of a centre of gravity, therefore a point of location which marks the centre of the mass. When the electron is represented as having mass, then the Newtonian conceptual space applies, including momentum etc.. It has a rest mass, a point of location, an inertial frame applies, and all that follows for a body of mass.
If we rob the electron of its mass, take it away, and deny that it has any mass, then that discrepancy in total mass, and violation to conservation laws needs to be accounted for. But we know from experimental data, and the need for "entropy", that the conservation laws are ideals which are not completely applicable as the true physical reality. And the supposed mass of an electron is so tiny that the only real reason why it is assumed is the need to maintain the conservation laws. Therefore there is no good reason to maintain the principle that an electron has any mass, consequently no reason to represent it as having momentum, or any well-defined point of location. That need is simply the desire to maintain an untrue ideal, the conservation law, and follow traditional conventions of calculation. But it's a misleading path, and like a vector, the further away you get from the starting point, the further you get from the true path.
Since a quantum's energy is proportional to its frequency and its momentum is inversely proportional to its wave length, finite wave packets have neither well-defined energy nor momentum. — Dfpolis
See, the fault here is to assign momentum to a wave. This implies that the electron has mass and a stable, inertial centre required by Newton's first law. But if mass truly converts to wave energy, then the centre point of an electron which is radiating or absorbing wave energy would actually be an unstable, decaying or increasing mass, and this is not consistent with the first law. The atom's mass would decrease as it emits radiation, or increase as it absorbs. Therefore the electron really cannot be represented by the Newtonian mass/inertia/momentum conceptual space.
So, we can transfer this mass to the nucleus, and the instability which exists as the radiation and absorption (interaction) of energy represented as electrons, is in most cases a very minimal instability, as a proportion of the total mass of the atom. However, there are features of the nucleus, which result in the various electron shells for example, which represent critical thresholds in the stability. The key point is that the Newtonian stability assumed by the first law of motion (which is itself an ideal symmetry) must be forfeited in order to adequately account for these minute change to physical bodies, by allowing that changes inherent within and originating within the nucleus, may alter the wave field.
That is exactly what the wave equations do represent. The problem is that you cannot pick the one actual solution out of an infinity of possible solutions without knowing the initial conditions. — Dfpolis
I think that this is incorrect. "Probability" is produced from a comparison of what is known about many instances of particular circumstances, with a statistical analysis of a set of similar particular circumstances. The crucial point is the judgement of "similar". That is why the probabilities of the wave equations do not actually represent the particular circumstances, these probabilities represent a conclusion drawn from numerous particular circumstances, which are categorized as "the same" by a judgement of similar.
Again, there is no "body." — Dfpolis
There is mass, and mass is what constitutes the matter of a body. I strongly believe that wave structures cannot account for the mass of a body, and I will continue to believe that, unless you or someone else, can answer my question above, and show how waves can explain the strong interactive force.