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Yep. A whole lot of this is "Automata are relevant! I'm relevant!" and some hand-waving and "Doesn't this loooook like a mesh? See! We made space-time!"

Save your time, just read More is Different: https://science.sciencemag.org/content/177/4047/393

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With respect, I don't think that our derivation of the conformal structure of spacetime, or of the Einstein field equations in the continuum limit of infinite causal graphs, is "hand-waving". See, for instance:

https://www.wolframcloud.com/obj/wolframphysics/Documents/so...

I've just read it based on your recommendation. I enjoyed it but I don't find that it obviates Wolfram's work, or even overlaps with it much at all (and I'm no big Wolfram fan).

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