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This version is not peer-reviewed
On a Duality between Time and Space Cones
Version 1
: Received: 16 December 2018 / Approved: 18 December 2018 / Online: 18 December 2018 (12:08:33 CET)
Version 2 : Received: 23 May 2019 / Approved: 24 May 2019 / Online: 24 May 2019 (08:22:25 CEST)
Version 2 : Received: 23 May 2019 / Approved: 24 May 2019 / Online: 24 May 2019 (08:22:25 CEST)
How to cite: Al-qallaf, W.; Papadopoulos, K. On a Duality between Time and Space Cones. Preprints 2018, 2018120223 Al-qallaf, W.; Papadopoulos, K. On a Duality between Time and Space Cones. Preprints 2018, 2018120223
Abstract
We give an exact mathematical construction of a spacelike order $<$, which is dual to the standard chronological order $\ll$ in the $n$-dimensional Minkowski space $M^n$ and we discuss its order-theoretic, geometrical as well as its topological implications, conjecturing a possible extension to curved spacetimes.
Keywords
causality; chronology; chorology; Minkowski space; time cone; space cone; weak interval topology; duality
Subject
Computer Science and Mathematics, Geometry and Topology
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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