2004/07/26 by Keye Martin, Prakash Panangaden · 1 citation
Physics and Astronomy · #gr-qc
paper · pdf · doi:10.1007/s00220-006-0066-5
published as Commun.Math.Phys. 267 (2006) 563-586 · 25 pages
arxiv created 2004/07/26 · arxiv updated 2015/06/25
Beginning from only a countable dense set of events and the causality relation, it is possible to reconstruct a globally hyperbolic spacetime in a purely order theoretic manner. The ultimate reason for this is that globally hyperbolic spacetimes belong to a category that is equivalent to a special category of domains called interval domains.