This looks very interesting and impressive, and I hope this will catch Jonathan's eye. Have you though about how the spin of particles could work in this frame

This looks very interesting and impressive, and I hope this will catch Jonathan's eye. Have you though about how the spin of particles could work in this framework? And have you though about what it would look like to extend local gauge invariance from spacetime to multiway? (I haven't read the actual papers and the assumptions that went into them yet, but to the summary is very impressive and exciting: a basic framework that can derive general relativity and path integral, put them together in equal footing in an extended "multiway", possibly give natural explanations to several long-standing puzzles of physics [dark matter, dark energy, black holes, black hole information paradox, measurement problem, inflation, dimensionality of the universe, arrow of time, ...]. I don't know if you can eventually find a rule that will result in the standard model, but everything fits so far, and it is possibly not a coincidence. Great work so far! Of course, it may or not may not lead to something that recovers all of the physics that we know today, but regardless, thanks for pursuing this exciting avenue!)