Dear Cristi,
I read your essay yesterday, and apologize once more for not reading it earlier. It is very technical and interesting. I did not check your equations.
Lawrence Crowell and I are also working on GUT's/ TOE's. Lawrence has a 26/27-dimensional TOE framework that looks promising, but needs a lot of work. I have a 12-dimensional geometrical TOE that may be an intermediate simplification of his ideas. Your model does not directly appeal to extra dimensions, but I suspect that your effective Lagrangian implies an unseen Hyperspace with new dimensions/ degrees of freedom.
You threw me off by calling it "Marblewood" because you did not discuss either marble or wooden quantities in detail, but your overall scheme is an effective GUT, and thus "Marble-wood". Peter Van Gaalen and I have had some conversations about marble and wooden quantities on his essay blog site. Using different arguments from mine, Peter also arrived at a multi-dimensional model. I don't know if the difference between marble and wooden is the difference between Abelian vs. non-Abelian Lie algebras, or if it is the difference between quantities with a fundamentally Spacetime origin vs. those with a Hyperspace origin.
Your Principle of Integral Interactions is a very key assumption. Fundamentally, this is the way that my 12-dimensional TOE works - we either have an interaction or not - it makes no sense to have a half-interaction. And although I agree that this is where Quantum Mechanics defies the Classical World and our classical Common Sense, we must be certain that this assumption is QM-compatible.
Equation 13 is an interesting effective GUT, but it seems 'forced' in the sense that if other dimensions exist, if other gauge, scalar or tensor forces exist, then we must enter new effective Lagrangians or curvatures by hand. Being a forced effective GUT, it cannot help predict which parts of the puzzle might be undiscovered.
Still, your approach is interesting, and you might want to read the three above essays.
Good luck with your research!
Ray Munroe