• Corpus ID: 243832933

Pregeometric Spaces from Wolfram Model Rewriting Systems as Homotopy Types

@article{Arsiwalla2021PregeometricSF,
  title={Pregeometric Spaces from Wolfram Model Rewriting Systems as Homotopy Types},
  author={Xerxes D. Arsiwalla and Jonathan Gorard},
  journal={ArXiv},
  year={2021},
  volume={abs/2111.03460}
}
How do spaces in physics emerge from pregeometric discrete building blocks governed by computational rules? To address this question we investigate non-deterministic rewriting systems (so-called multiway systems) of the Wolfram model. We formalize these rewriting systems as homotopy types. Using this new formulation of the model, we outline how spatial structures can be functorially inherited starting from pregeometric type-theoretic constructions. We show how higher homotopy types are… 

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