Manifold-topology from K -causal order
File(s)
Accepted version
Author(s)
Sorkin, Rafael D
Yazdi, Yasaman K
Zwane, Nosiphiwo
Type
Journal Article
Abstract
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 +.
Date Issued
2019-05-09
Date Acceptance
2019-03-20
Citation
Classical and Quantum Gravity, 2019, 36 (9), pp.1-8
ISSN
0264-9381
Publisher
IOP Publishing
Start Page
1
End Page
8
Journal / Book Title
Classical and Quantum Gravity
Volume
36
Issue
9
Identifier
https://iopscience.iop.org/article/10.1088/1361-6382/ab1166
Subjects
01 Mathematical Sciences
02 Physical Sciences
Nuclear & Particles Physics
Publication Status
Published
Date Publish Online
2019-03-20