Independent Axioms for Minkowski Space-Time

1. Auflage 1997
ISBN: 978-0-582-31760-4
Verlag: Chapman and Hall/CRC

Buch, Englisch, 256 Seiten, Format (B × H): 216 mm x 279 mm, Gewicht: 435 g

Reihe: Chapman & Hall/CRC Research Notes in Mathematics Series

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.

Autoren/Hrsg.

Schutz, John W.

Fachgebiete

• Naturwissenschaften Chemie Chemie Allgemein Chemometrik, Chemoinformatik
• Naturwissenschaften Physik Quantenphysik Relativität, Gravitation
• Naturwissenschaften Biowissenschaften Angewandte Biologie Biomathematik

Inhaltsverzeichnis

IntroductionPrimitive Notions and AxiomsTemporal Order on a PathCollinearity and Temporal OrderExistence and Properties of Collinear SetsPaths and Optical Lines in a Collinear SetTheory of ParallelsOne-Dimensional KinematicsThree Dimensional TheoremsStandard Model of Minkowski Space-TimeIndependence ModelsAppendicesIndex of NotationReferencesIndex