This is absolutely fascinating.
Even just a demonstration that rule application on hypergraphs is expressive enough to potentially describe (for some rule yet to be found) Quantum Mechanics and General Relativity is incredibly exciting in my opinion.
Arguably string theory is in a similar situation: a very powerful framework that could potentially describe reality if accurately utilized.
Also, notably Gerard 't Hooft has been working on a very similar topic recently: Quantum Mechanics described in terms of cellular automata [0].