Red, theory; black, fact.
This post comes from considering how wavelike, low-frequency light becomes particle-like, high-frequency light as frequency is smoothly increased. Waves are continuous, whereas particles are discontinuous; how, then, does the breakup occur?
You have to put the source in the picture. Recoil of the source atom sends the wave function off in a specific direction, but the wave function is known to expand (about its center of symmetry?) as it goes. Presumably, it is the vector sum of these two motions that must equal the speed of light; either one is presumably free to take on some lower speed, say, that of a pitched softball. I conjecture that as frequency increases, the particle-like drift of the center progressively dominates the mixture at the expense of the local, wave-like expansion of the wave function about its center. This is how I see waves morphing into particles as the frequency increases.
These ideas suggest the existence of a unique, watershed frequency at which both motions are equal, and equal to one-half the speed of light when the vectors are aligned. I suspect that this frequency lies in the terahertz range, between radar frequencies and the far infrared, partly on the basis that this seems to be the last part of the electromagnetic spectrum to find technological use. The non-dominance of either the particle or the wave model in this range may translate into a perfect storm of undesirable properties. That comment about the softball, however, suggests the possible existence of easy, classroom experiments with these frequencies that illustrate wave-particle duality.
These considerations brought me to the following set of TOE assumptions, some from relativity theory, some in apparent contradiction of it, and some from quantum mechanics:
- There is an absolute frame-of-reference, which I shall call "#."
- All motions seen in this frame of reference will be observed to occur at the speed of light (c); no more, but no less, and only this frame of reference has this property.
- All speeds lower than c are illusions caused by the motion of the observer's frame of reference.
- That which moves always at c is not a wave function, but a phase marker of some sort within it, such as a zero crossing or a wave crest.
- The local wave function evolution relative to its center of symmetry combined with the drift of that center relative to # always travels at c relative to #.
- If local evolution is an expansion along all wave function radii, you have light; if it is a rotation about the center of symmetry (i.e., motion perpendicular to radii), you have matter.
- Light wave functions will be like nested spherical shells, whereas matter wave functions will have a lobar, angle-dependent structure like a p-, d-, or f-orbital in theoretical chemistry. The lobes are essential to provide a contrast pattern that could, in principle, be observed to spin.
- The presence of one axis of rotation produces the neutrino; two simultaneous axes of rotation produce the mesons; three produce the remaining stable particles, e, p, and n. If the three rotational rates are distinguishable, the resulting structure has a handedness.
- The matter/antimatter dichotomy arises from this handedness, when combined with a law of conservation of spin that would result from space initially being symmetrical.
- The mesons should have an ability in 3-space to flip over into their corresponding antiparticles.