Coordinate-free relativity

descriptionPublicationkeyboard_double_arrow_right Article , Part of book or chapter of book 01 Jan 1972 English Publisher:Springer Science and Business Media LLCJournal:Synthese, volume 24, pages 281-297 (issn: 0039-7857, eissn: 1573-0964,

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Authors: Hudgin, Richard H.;

doi: 10.1007/bf00540152 , 10.1007/978-94-010-2686-4_16 , 10.1007/978-94-010-2650-5_16

Coordinate-free relativity

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Abstract

The assumption that the universe can be described using a coordinate system is very strong. To reveal some of the structure in such an assumption, I present in this paper axioms for flat space-time which allow the coordinate system to be derived. In this way a structure more general than that of a coordinate system is suggested.

Related Organizations

State University of New York at Potsdam
United States
State University of New York
United States

Keywords

Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics, Linear incidence geometry

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