1st Edition

Independent Axioms for Minkowski Space-Time

ISBN 9780582317604
Published October 8, 1997 by Chapman and Hall/CRC
256 Pages

USD $200.00

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Book 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.

Table of Contents

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
Index of Notation

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