Notes

Chapter 9: Fundamental Physics

Section 6: The Nature of Space


Symmetry [of discrete space]

A system like a cellular automaton that consists of a large number of identical cells must in effect be arranged like a crystal, and therefore must exhibit one of the limited number of possible crystal symmetries in any particular dimension, as discussed on page 929. And even a generalized cellular automaton constructed say on a Penrose tiling still turns out to have a discrete spatial symmetry.



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