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].
the idea is kind of old and even Wolfram played with it in his previous work/book, ie A new kind of science.
If you're interested in the subject and also can appreciate what feels like a piece of performance art give the following book a shot: https://www.amazon.com/Alien-Information-Theory-Psychedelic-... It's mind-blowing and uses as one of its starting points Wofram's 1D cellular automata work.
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].
[0] https://arxiv.org/abs/1405.1548