> But the fact that with a few assumptions on the rules you can then limit to both GR and QM is very non-trivial and, in my opinion, pretty surprising.
Perhaps you're not familiar with the literature here, but GP isn't exaggerating, using e.g. Noether's Theorem you can derive the expected laws of physics from very simple symmetry principles. This means that any model with these symmetries will produce these behaviours.
If you make up a new model of Newtonian mechanics that doesn't depend explicitly on time, so that your laws are the same tomorrow as today, then it's proven that such a model will conserve "energy". You could point at this as an indication of the correctness of your theory, but it's really unavoidable. You can play a similar trick for the fundamental forces if you have the patience to work through the derivation.
A better test is these models is if they're predictive, and I haven't seen a such a result about this CA-physics outside of Wolfram's blog.
Perhaps you're not familiar with the literature here, but GP isn't exaggerating, using e.g. Noether's Theorem you can derive the expected laws of physics from very simple symmetry principles. This means that any model with these symmetries will produce these behaviours.
If you make up a new model of Newtonian mechanics that doesn't depend explicitly on time, so that your laws are the same tomorrow as today, then it's proven that such a model will conserve "energy". You could point at this as an indication of the correctness of your theory, but it's really unavoidable. You can play a similar trick for the fundamental forces if you have the patience to work through the derivation.
A better test is these models is if they're predictive, and I haven't seen a such a result about this CA-physics outside of Wolfram's blog.