Mathematical Implications of Einstein-Weyl Causality

1. Auflage. Softcover version of original hardcover Auflage 2006
ISBN: 978-3-642-07233-8
Verlag: Springer

Buch, Englisch, 190 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 318 g

Reihe: Lecture Notes in Physics

Here is a systematic approach to such fundamental questions as: What mathematical structures does Einstein-Weyl causality impose on a point-set that has no other previous structure defined on it? The author proposes an axiomatization of the physics inspired notion of Einstein-Weyl causality and investigating the consequences in terms of possible topological spaces. One significant result is that the notion of causality can effectively be extended to discontinuum.

Zielgruppe

Research

Autoren/Hrsg.

Borchers, Hans Jürgen

Sen, Rathindra Nath

Fachgebiete

• Naturwissenschaften Astronomie Kosmologie, Urknalltheorie
• Naturwissenschaften Astronomie Zeitmesssysteme, Relativitätstheorie
• Naturwissenschaften Astronomie Astrophysik
• Naturwissenschaften Physik Quantenphysik Relativität, Gravitation
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Naturwissenschaften Physik Angewandte Physik Astrophysik

Inhaltsverzeichnis

Geometrical Structures on Space-Time.- Light Rays and Light Cones.- Local Structure and Topology.- Homogeneity Properties.- Ordered Spaces and Complete Uniformizability.- Spaces with Complete Light Rays.- Consequences of Order Completeness.- The Cushion Problem.- Related Works.- Concluding Remarks.- Erratum to: Geometrical Structures on Space-Time.- Erratum to: Light Rays and Light Cones.- Erratum to: Local Structure and Topology.- Erratum to: Ordered Spaces and Complete Uniformizability.- Erratum to: Spaces with Complete Light Rays.- Erratum to: Consequences of Order Completeness.- Erratum.