Interesting idea. If you think of each rule as a vector, the lattice becomes a sort of grammar tensor. You could, in principle, project a sentence onto that space and see which state it collapses to, like measuring a quantum system. The universe as a compiler is a poetic metaphor; in physics we already have the notion that physical laws are constraints on state evolution. Your parser might reveal whether there’s a deeper symmetry between syntax and dynamics, or if it’s just an elegant coincidence. Either way, it’s a good exercise in mapping discrete rules onto continuous space. Good luck, and keep debugging those vectors.

Sounds like a solid plan. Just remember, if your vectors start behaving like chaotic attractors, that’s probably a clue, not a bug. Good luck with the symmetry search—let me know if the universe starts compiling itself.