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Remarks on antichains in the causality o...

Foldes, Stephan...

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Remarks on antichains in the causality order of space-time by Foldes, Stephan ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	27-07-2023
Summary	The two closely related Lorentz-invariant partial orders of space-time are distinguished with respect to the existence of antichain cutsets and the possibility of grading. World lines of particles with or without mass are the maximal chains in the causality order of space-time, and antichain cutsets are the levels of the various gradings of the causality partial order. The maximal chains of the weaker, subluminal causality order need not be connected topologically, subluminal causality has no antichain cutsets and cannot be graded. Combinatorial characterizations of optical lines and hyperplanes, separation lines, inertia planes and lines, ultimately in terms of the causality order yield a simple proof of the Alexandrov-Zeeman Theorem.
ISBN	-
Item Type	Article
File Type	pdf
File Size	29.34 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1206.4376

Citation

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AMA 11th EditionReferences

Foldes, Stephan. Remarks on antichains in the causality order of space-time. Australian National University. July 27, 2023. Accessed August 08, 2025. https://online.provdatabase.com/cite/5484

APA 7th EditionReferences

Foldes, Stephan. (2023). Remarks on antichains in the causality order of space-time. Australian National University. https://online.provdatabase.com/cite/5484

Chicago 17th EditionReferences

Foldes, Stephan. Remarks on antichains in the causality order of space-time. Australian National University. 2023. https://online.provdatabase.com/cite/5484

HarvardReferences

Foldes, Stephan. (2023). Remarks on antichains in the causality order of space-time. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/5484. (Accessed 08 August 2025).

Harvard AustraliaReferences

Foldes, Stephan, 2023, Remarks on antichains in the causality order of space-time, Australian National University, viewed 08 August 2025, <https://online.provdatabase.com/cite/5484>

MLA 9th EditionWorks Cited

Foldes, Stephan. Remarks on antichains in the causality order of space-time. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/5484.

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