Preprint
Article
On a Duality between Time and Space Cones
This version is not peer-reviewed.
Submitted:
23 May 2019
Posted:
24 May 2019
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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
Copyright: This open access article is published under a Creative Commons CC BY 4.0 license, which permit the free download, distribution, and reuse, provided that the author and preprint are cited in any reuse.
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