Some results on the Zeeman topology

Details Some results on the Zeeman topology Some results on the Zeeman topology

2007-04-23

arxiv.org/abs/0704.2933v2

J. Math. Phys. 48, 113507 (2007) (13 pages)

Physics

Mathematical Physics

Part of my Laurea thesis. REVTeX4. Minor changes from previous version

Scientific paper

10.1063/1.2804758

In a 1967 paper, Zeeman proposed a new topology for Minkowski spacetime, physically motivated but much more complicated than the standard one. Here a detailed study is given of some properties of the Zeeman topology which had not been considered at the time. The general setting refers to Minkowski spacetime of any dimension k+1. In the special case k=1, a full characterization is obtained for the compact subsets of spacetime; moreover, the first homotopy group is shown to be nontrivial.

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