Notes

Chapter 9: Fundamental Physics

Section 10: The Sequencing of Events in the Universe


Simulating mobile automata

Given a mobile automaton like the one from page 73 with rules in the form used on page 887—and behavior of any complexity—the following will yield a causal-invariant substitution system that emulates it:

Map[StringJoin, Map[{"AAABB", "ABABB", "ABAABB"}[[# + 1]] &, ((Insert[#[[1]], 2, 2] -> Insert[#[[2, 1]], 2, 2 + #[[2, 2]]]) & /@ rule), {2}], {2}]

From Stephen Wolfram: A New Kind of Science [citation]