Axiomatic relativity theory

DOI10.1070/RM1982v037n02ABEH003942zbMath0504.53017OpenAlexW2016872894MaRDI QIDQ4741338

Alexander K. Guts

Publication date: 1982

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm1982v037n02abeh003942

zbMATH Keywords

spacetimeLorentz groupchronogeometryspacetime geometryordered spacecone familyconnected preorderRiemann-Helmholtz-Lie problem

Mathematics Subject Classification ID

Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Research exposition (monographs, survey articles) pertaining to relativity and gravitational theory (83-02) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

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A model for spacetime: the role of interpretation in some Grothendieck topoi ⋮ GROUPS OF WORLDVIEW TRANSFORMATIONS IMPLIED BY EINSTEIN’S SPECIAL PRINCIPLE OF RELATIVITY OVER ARBITRARY ORDERED FIELDS ⋮ A geometrical characterization of the twin paradox and its variants ⋮ Reconstructing an open order from its closure, with applications to space-time physics and to logic ⋮ From (Idealized) exact causality-preserving transformations to practically useful approximately-preserving ones: a general approach ⋮ Affine structure and isotropy imply Minkowski space-time and the orthochronous Poincaré group ⋮ Cycles in de Sitter's world ⋮ Euclidean plane point-transformations preserving unit area or unit perimeter ⋮ Transformations preserving null line sections of a domain: The arbitrary signature case

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