On a duality between Time and Space Cones

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 implica...

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Main Authors: Waleed Al-Qallaf, Kyriakos Papadopoulos
Format: Article
Language:English
Published: Elsevier 2020-03-01
Series:Kuwait Journal of Science
Subjects:
Online Access:https://journalskuwait.org/kjs/index.php/KJS/article/view/7298
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author Waleed Al-Qallaf
Kyriakos Papadopoulos
author_facet Waleed Al-Qallaf
Kyriakos Papadopoulos
author_sort Waleed Al-Qallaf
collection DOAJ
description 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.
format Article
id doaj-art-db3dbf0e72f847009bdce69ca294986d
institution DOAJ
issn 2307-4108
2307-4116
language English
publishDate 2020-03-01
publisher Elsevier
record_format Article
series Kuwait Journal of Science
spelling doaj-art-db3dbf0e72f847009bdce69ca294986d2025-08-20T03:09:45ZengElsevierKuwait Journal of Science2307-41082307-41162020-03-01472On a duality between Time and Space ConesWaleed Al-Qallaf0Kyriakos Papadopoulos1Kuwait UniversityDepartment of Mathematics Kuwait UniversityWe 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.https://journalskuwait.org/kjs/index.php/KJS/article/view/7298causalitychronologychorologyMinkowski spacetime conespace cone
spellingShingle Waleed Al-Qallaf
Kyriakos Papadopoulos
On a duality between Time and Space Cones
Kuwait Journal of Science
causality
chronology
chorology
Minkowski space
time cone
space cone
title On a duality between Time and Space Cones
title_full On a duality between Time and Space Cones
title_fullStr On a duality between Time and Space Cones
title_full_unstemmed On a duality between Time and Space Cones
title_short On a duality between Time and Space Cones
title_sort on a duality between time and space cones
topic causality
chronology
chorology
Minkowski space
time cone
space cone
url https://journalskuwait.org/kjs/index.php/KJS/article/view/7298
work_keys_str_mv AT waleedalqallaf onadualitybetweentimeandspacecones
AT kyriakospapadopoulos onadualitybetweentimeandspacecones