The logic of causally closed spacetime subsets

@article{Casini2002TheLO,
  title={The logic of causally closed spacetime subsets},
  author={Horacio Casini},
  journal={Classical and Quantum Gravity},
  year={2002},
  volume={19},
  pages={6389-6404}
}
  • H. Casini
  • Published 3 May 2002
  • Mathematics, Philosophy
  • Classical and Quantum Gravity
The causal structure of spacetime offers a natural notion of an opposite or orthogonal in the logical sense, where the opposite of a set is formed by all points non-timelike related with it. We show that for a general spacetime the algebra of subsets that arises from this negation operation is a complete orthomodular lattice, and thus has several of the properties characterizing the algebra of physical propositions in quantum mechanics. We think this lattice could be used to investigate the… 
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