Dear Gary and John,
You both make some interesting points, which I will try to address.
When I say that waves are fundamental, I mean fields in vacuum. These are not abstract mathematical quantities, but real objects varying in space and time. In fact, space and time are embodied in these varying fields. We have no trouble thinking about real electric or magnetic fields, because we can measure these in the classical high-amplitude limit, over a wide range of frequencies. But an electron field seems like a strange object, with an extremely high frequency that we can't measure directly, and a low amplitude (due to the exclusion principle). You can have many electrons in the same region in space (such as in an atom or in a metal), but they all have different frequencies - they are not oscillating in phase. Still, this may be the same sort of object as an EM field.
So it seems that these photon and electron fields are fundamental, but the problem is that there are too many fundamental fields: Positrons, Muons (both varieties and antiparticles), Neutrinos (3 varieties and antiparticles), Quarks (6 varieties and antiparticles), Gluons, W and Z. This is too many to be truly fundamental, implying something is likely to lie beneath this level. However, I am convinced that previous efforts at grand unification have started in the wrong place, making their conclusions questionable.
When I say that spin is fundamental, I mean that it is a universal constant, measured in units of Planck's constant, which defines the discreteness and countability in the universe. I am looking for a set of field equations for which Planck's constant falls out automatically.
Regarding tests, if there is no superposition on the level of a single photon or electron, there should be large differences from orthodox theory using standard laboratory equipment. Regarding tests of gravity, my theory is identical to standard GR to first order, so that one would need to do high-precision measurements in strong gravitational fields. Gravitational Wave observations have no bearing on such a test.
But I think the most important aspect of my essay is the restoration of unity on all scales, based on real physical objects, not obscure mathematics. This neoclassical picture incorporates the discreteness of quantum theory and the GR distortions of time and space, but retains a deterministic classical picture of local reality.
Alan