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Peterdjones comments on Causal Universes - Less Wrong
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There are precedents and parallels in Causal Sets and Causal Dynamical Triangulation
CDT is particularly interesting for its ability to predict the correct macroscopic dimensionality of spacetime:
" At large scales, it re-creates the familiar 4-dimensional spacetime, but it shows spacetime to be 2-d near the Planck scale, and reveals a fractal structure on slices of constant time"
I was going to reply with something similar. Kevin Knuth in particular has an interesting paper deriving special relativity from causal sets: http://arxiv.org/abs/1005.4172