Orichio
I was surprised to find no comments here so late in the process. I was interested in your essay, which seemed to contain some good and original ideas. But it was the first line of your abstract that caught my attention as it is highly equivalent in some ways to my own central thesis.
I've developed a model where ALL matter has a space time bubble around it. Where particles get together to form molecules, the bubble combines barycentrically, yet each free particle also retains it's own if if in motion with resect to it's background.
This is equivalent to Einsteins "All mass is spatially extended", and when in motion more ions condense to form the interplanetary shocks, galactic halos' and Pe clouds around accelerated particles.
But none of that is as important as the result - these discrete fields allow local backgrounds, which avoids Bells inequalities to give Locality and Reality. Special Relativity via a Quantum Mechanism, also then (via condenses mass) giving Equivalence. And all within the SR postulates, explaining constant light speed.
I believe our theories departed somewhere along the line but am not sure precisely. I'm not a physicist or mathematician, though my essay is now in the top 10 as those with good conceptual skills can see the logical solution.
I hope you may too, and hope you can read it (the string is also good). It is consistent with leader Edwins 'C field', Parry's reality, Castel, Spoljaric, Benedict, and others, and particularly Regazas maths. I don't know if yours may be consistent with all, but hope you don't let your community votes go to waste and you support those you wish to. http://fqxi.org/community/forum/topic/803
In particular your views on applicability of your use of the WDW to mine may be helpful, in terms of your; "An elementary particle have a synchronized membrane because each massless boson cannot be used to obtain simultaneity, this is a confirmation that the WDW dierential equation is an appropriate candidate to particle description because WDW have not time coordinate; each elementary particles is a singularity in the spacetime for the same reason, because a little surface must be simultaneous."
You may also like the short paper linked in my string on universe recycling! Despite a little improvement to your English required I feel your essay should be higher and shall wave my wand.
I look forward to your views.
Best wishes
Peter