Independent Axioms for Minkowski Space-Time: 1st Edition (Hardback) book cover

Independent Axioms for Minkowski Space-Time

1st Edition

By John W Schutz

Chapman and Hall/CRC

256 pages

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Hardback: 9780582317604
pub: 1997-10-08
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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.

Table of 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

About the Series

Chapman & Hall/CRC Research Notes in Mathematics Series

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Subject Categories

BISAC Subject Codes/Headings:
SCI040000
SCIENCE / Mathematical Physics