Dear Hou,
I have now had a chance to read your essay, and I do find this idea interesting. I was going to point out to you Donatello Dolce's and Edwin Klingman's essays as others you might be interested in looking at, but it seems they have already contacted you! Let me itemize a few remark and questions:
1. A very important point you make is that any such wave must interact with spacetime itself (top of page 2). This seems like a statement of background independence.
2. I am not quite sure what mechanism selects the Planck scale as being special in your approach. As far as I can tell, you are not suggesting that the manifold structure of spacetime breaks down at the Planck scale, since the underlying waves are still defined at that scale. How does nature "know" that "quantization" is supposed to occur at this scale?
3. Although you discuss Lorentz transformations, I am still a little worried about this. A Planck volume in one frame of reference won't be a Planck volume in another frame. It seems that what appears to be a vacuum at the observable level in one frame might appear to contain energy in a sufficiently boosted frame. This is the sort of problem the developers of deformed special relativity (DSR) were thinking about.
4. It does seem as though you might get the appearance of nonlocality from this approach, since waves interfering mostly below the observable threshold could produce correlated observable interactions at a few distant points with nothing but "vacuum" in between.
Anyway, I enjoyed reading your essay; it gave me some interesting new food for thought. Take care, and good luck with the contest!
Ben