Borchers: Math. Implications of Einstein-Weyl Causality
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...
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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.
- Geometrical Structures on Space-Time
- Light Rays and Light Cones
- Local Structure and Topology
- Homogeneity Properties
- Order and Uniformizability
- Spaces With Complete Light Rays
- Consequences of Order Completeness
- The Cushion Problem
- Related Works
- Concluding Remarks
- Autoren: Hans Jürgen Borchers , Rathindra Nath Sen
- 2006, XII, 191 Seiten, 37 Schwarz-Weiß-Abbildungen, Maße: 16,4 x 24,1 cm, Kartoniert (TB), Englisch
- Verlag: Springer Berlin
- ISBN-10: 3540376801
- ISBN-13: 9783540376804
- Erscheinungsdatum: 23.10.2006
"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)
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