I think Stephen Wolfram fell in the trap, that any continuous dynamical system can be approximated by a discrete one. His position is a bit like claiming the fundamental theory of the universe is Brainfuck. Proof: I can encode general relativity and quantum field theory in Brainfuck, at least to a arbitrary good approximation. The initial conditions are then just the program to simulate GR and QFT plus the initial conditions in more conventional physics. Thus the fundamental theory of the universe is Brainfuck. ( At least if Turing machines are the most powerful model of computation that can be implemented in our universe.)