Mathematical Implications of Einstein-Weyl Causality

Inbunden, Engelska, 2006

Av Hans Jürgen Borchers, Rathindra Nath Sen

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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.

Produktinformation

Utgivningsdatum2006-10-23
Mått155 x 235 x undefined mm
FormatInbunden
SpråkEngelska
SerieLecture Notes in Physics
Antal sidor190
FörlagSpringer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN9783540376804

Tillhör följande kategorier

Matematisk fysik inom Naturvetenskap och teknik
Matematik inom Naturvetenskap och teknik
Topologi inom Naturvetenskap och teknik
Klassisk mekanik inom Naturvetenskap och teknik

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.

From the reviews: "The casual structure of space-times can be described by means of two notions of precedence, namely chronological and casual precedence; one can then abstract these two notions, and the relationship between them, and consider casual spaces in general. ... This volume will be of interest in particular to workers in casual analysis, and more generally to those with an interest in the fundamental structure of space-time." (Robert J. Low, Mathematical Reviews, 2007 k)