Preprint Article Version 1 This version is not peer-reviewed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)

How to cite: Al-Qallaf, W.; Papadopoulos, K. On a Duality between Time and Space Cones. Preprints 2018, 2018120223 (doi: 10.20944/preprints201812.0223.v1). Al-Qallaf, W.; Papadopoulos, K. On a Duality between Time and Space Cones. Preprints 2018, 2018120223 (doi: 10.20944/preprints201812.0223.v1).

## 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 $M^n$, a construction that can be extended to any curved spacetime, and we discuss its geometrical as well as its topological implications.

## Subject Areas

causality; chronology; chorology; Minkowski space; time cone; space cone; weak interval topology; duality