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Ordering events in Minkowski space

Name: Ordering events in Minkowski space
Creator: Richard P. Stanley
Keywords: Applied Mathematics, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), 0102 computer and information sciences, 0101 mathematics, 01 natural sciences

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Oct 2006Embargo end date: 01 Jan 2005Publisher:Elsevier BVJournal:Advances in Applied Mathematics, volume 37, pages 514-525 (issn: 0196-8858,

Authors: Richard P. Stanley;

doi: 10.1016/j.aam.2005.06.007 , 10.48550/arxiv.math/0501256

arXiv: http://arxiv.org/abs/math/0501256

Ordering events in Minkowski space

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Abstract

We are given k points (events) in (n+1)-dimensional Minkowski space. Using the theory of hyperplane arrangments and chromatic polynomials, we obtain information the number of different orders in which the events can occur in different reference frames if the events are sufficiently generic. We consider the question of what sets of orderings of the points are possible and show a connection with sphere orders and the allowable sequences of Goodman and Pollack.

17 pages

Related Organizations

Massachusetts Institute of Technology
United States
Massachusetts Institute of Technology Dept. of Economics
United States

Keywords

Applied Mathematics, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO)

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NSF| Studies in Algebraic Combinatorics