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Estimating the Manifold Dimension of Causal Sets

  • Finian Ashmead,
  • David D. Reid

摘要

In a causal set theory of spacetime, on macroscopic scales, physically relevant causal sets must approximate spacetime manifolds. Methods for extracting manifold-like properties from causal sets are an active area of research. This chapter offers a pedagogical treatment of several methods that have been developed and used to estimate the dimension of a manifold that is approximated by a causal set. We also devote some brief comments to the value of dimension estimation to topics of current interest besides estimating the manifold dimension.