Where do I start?
I like this essay, but you have written a paper it is extremely hard for me to grade Alan. Your theory is an unfinished work of art. I agree with your core premise, and I've explored that somewhat, but I warn you there are other other notions further up the chain. Waves are indeed more fundamental than particles, however. And I tend to agree that QM as it it generally applied contains major fallacies. I put Hilbert space in the category of invented Maths, rather than the fundamental kind, because it was devised for a purpose. It is a hypercubic projection into discrete measure spaces, and nature prefers spheres.
If one constructs spheres of increasingly higher dimension, the volume then the surface area reach a maximum and decrease thereafter, while hypercubic expansions go on forever. An illusion therefore arises in QM, when the Hilbert space formulation is incorrectly applied, or is assumed to be a universal generalization. John Klauder is among the few who does it correctly, while Sean Carroll and Ashmeet Singh appear to use the framework inaptly, or abuse the generalization, in my opinion. I've never believed in point-particles, and I like the idea that space is defined by wave expansion.
I have written since my very 1st FQXi essay that the property of waves is to be spread out or extended in space and time, and to move or propagate. This also was in my FFP10 presentation, in Perth back in 2009. While it is a particle-like property to be localized, waves are inherently non-local by virtue of being spread out or extended. Do you agree? At the very least; I see it as a space defining property. But I attach a paper by H.D. Zeh which also claims that waves are more fundamental than physical reality - from a more conventional framework. I have more to say, but I hope you enjoy the prior comments and paper.
I'll have to read again, before I rate this.
All the Best,