Geodesic
Discrete statistical models in chronogeometry
Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 11, Tome 372 (2009), pp. 149-156 
N. Yu. Netsvetaev. Discrete statistical models in chronogeometry. Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 11, Tome 372 (2009), pp. 149-156. http://geodesic.mathdoc.fr/item/ZNSL_2009_372_a14/
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

We suggest an approach to introduction of space-time, which is the main construct in chronogeometry. Under this approach, space-time arises as a “continuous approximation” of a discrete object: the network of interactions. Several simple examples are discussed. Bibl. – 9 titles.

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[2] A. D. Aleksandrov, V. V. Ovchinnikova, “Notes on the foundations of relativity theory”, Vestnik Leningrad. Univ., 1953, no. 11, 95–110

[3] Interview of Dr. Adriaan Fokker by John L. Heilbron on April 1, 1963, Niels Bohr Library Archives, Amer. Inst. of Phys., College Park, MD, USA

[4] A. K. Guts, Chronogeometry. Axiomatic Theory of Relativity, UniPac Ltd, Omsk, 2008 (Russian) | MR | Zbl

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[6] V. V. Makeev, “Asphericity of shadows of a convex body”, Zap. Nauchn. Semin. POMI, 329, 2005, 67–78 | MR | Zbl

[7] A. A. Markov, Selected Works, Vol. I, Publ. House of MCCME, Moscow, 2002 | MR | Zbl

[8] J. Roe, Lectures on Coarse Geometry, Univ. Lecture Ser., 31, Amer. Math. Soc., Providence, R.I., 2003 | MR | Zbl

[9] I. E. Segal, Mathematical Cosmology and Extragalactic Astronomy, Academic Press, London–New York, 1976 | MR