Towards a Definition of Locality in a Manifoldlike Causal Set

  title={Towards a Definition of Locality in a Manifoldlike Causal Set},
  author={Lisa Glaser and Sumati Surya},
  journal={Physical Review D},
It is a common misconception that spacetime discreteness necessarily implies a violation of local Lorentz invariance. In fact, in the causal set approach to quantum gravity, Lorentz invariance follows from the specific implementation of the discreteness hypothesis. However, this comes at the cost of locality. In particular, it is difficult to define a "local" region in a manifoldlike causal set, i.e., one that corresponds to an approximately flat spacetime region. Following up on suggestions… 
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