Independent axioms for Minkowski space-time
著者
書誌事項
Independent axioms for Minkowski space-time
(Pitman research notes in mathematics series, 373)
Addison Wesley Longman, 1997
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注記
Bibliography: p. 233-239
Includes index
内容説明・目次
内容説明
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.
目次
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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