Independent Axioms for Minkowski Spacetime (Chapman & Hall/CRC Research Notes in Mathematics Series No 373)

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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Description

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.

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Contents

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

Product Details

  • publication date: 08/10/1997
  • ISBN13: 9780582317604
  • Format: Hardback
  • Number Of Pages: 256
  • ID: 9780582317604
  • weight: 435
  • ISBN10: 0582317606

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