This mathematical object could be the foundation for a description of reality.
Recently I have written in this blog that an electron reads a Turing Machine, which could be Rule 110 in Wolfram's classification.
This is my answer to the question: How does the electron move?
If you want your code to be executed in a computer, you need to write the code, and the machine has to read it.
I believe this is a good metaphor of how an electron moves. The simplest rule I know, which can be a Universal Computer, is the 1-D Cellular Automaton 110.