Hi Jeff,
The whole idea of aether waves is that I wanted to be able to say something about the properties of space and time from a mechanistic point of view.
Wave-functions are just mathematic solutions for quantum systems; wave-functions are not considered to be physically real objects. Just because I can't physically touch a wave-function doesn't mean that it can't be something that carries the ontological properties of space and time.
If the vacuum of space was made of wave-like objects that acted like quantum waves, then it would be no surprise that we have to use wave-functions in the QM mathematics that describes quantum systems.
What about special relativity? After all, it is pretty strange that all inertial frames observe the speed of light (vacuum) to be the same. So I followed that logic. If wave-functions, however unphysical, are somehow responsible for the characteristics of space, then such waves should obey the speed of light (somehow). We're talking about waves.
[math]c = \lambda f = \frac{1}{sqrt{\epsilon_0 \mu_0}}[/math]
is a wave equation. Why not let aether waves embody the characteristics of light such as the permitivity and permeability of free space? Then, we let the wavelength of these aehter waves (which behave like wave-functions) express the existence of distance in space.
Likewise, we have a whole range of frequencies. Why not let the frequencies of the aether waves cause the progression of time in an inertial reference frame?