Independent Axioms for Minkowski Spacetime (Chapman & Hall/CRC Research Notes in Mathematics Series No 373)
By: John W. Schutz (author)Hardback
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The primary aim of this monograph is to clarify the undefined primitive concepts and the axioms which form the basis of Einstein's theory of special relativity. Minkowski space-time is developed from a set of independent axioms, stated in terms of a single relation of betweenness. It is shown that all models are isomorphic to the usual coordinate model, and the axioms are consistent relative to the reals.
Introduction Primitive Notions and Axioms Temporal Order on a Path Collinearity and Temporal Order Existence and Properties of Collinear Sets Paths and Optical Lines in a Collinear Set Theory of Parallels One-Dimensional Kinematics Three Dimensional Theorems Standard Model of Minkowski Space-Time Independence Models Appendices Index of Notation References Index
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- ID: 9780582317604
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