Journal
CLASSICAL AND QUANTUM GRAVITY
Volume 36, Issue 9, Pages -Publisher
IOP Publishing Ltd
DOI: 10.1088/1361-6382/ab1166
Keywords
causal structure; causal order; K-causality; manifold topology
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Funding
- Perimeter Institute for Theoretical Physics
- Government of Canada through the Department of Innovation, Science and Economic Development Canada
- Province of Ontario through the Ministry of Research, Innovation and Science
- Avadh Bhatia Fellowship at the University of Alberta
- NSERC [RGPIN-418709-2012]
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To a significant extent, the metrical and topological properties of spacetime can be described purely order-theoretically. The K+ relation has proven to be useful for this purpose, and one could wonder whether it could serve as the primary causal order from which everything else would follow. In that direction, we prove, by defining a suitable order-theoretic boundary of K+ (p), that in a K-causal spacetime, the manifold-topology can be recovered from K+. We also state a conjecture on how the chronological relation I+ could be defined directly in terms of K+.
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