Wolfram published "New Kind of Science" almost 20 years ago. Scott Aaronson was kind enough to review it: https://scottaaronson.com/papers/nks.pdf So was Juergen Schmidhuber and many others http://shell.cas.usf.edu/~wclark/ANKOS_reviews.html
Wolfram has now moved from CA to Hypergraphs (essentially sets). They are so generic structures that you get anything physics-like from them if you want.
For example, if you visualize hypergraph that you get from normal execution of numerical simulations for relativistic, quantum or general relativity simulations, they would look cool and you might realize that they are connected to physics. Just like Wolfram's pretty pictures. Would execution graph representation explain more than equations and code? I don't think so.