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Exotic Smoothness and Physics: Differential Topology and Spacetime Models
Buch von Torsten Asselmeyer-Maluga (u. a.)
Sprache: Englisch

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Beschreibung
The recent revolution in differential topology related to the discovery of non-standard ("exotic") smoothness structures on topologically trivial manifolds such as R4 suggests many exciting opportunities for applications of potentially deep importance for the spacetime models of theoretical physics, especially general relativity. This rich panoply of new differentiable structures lies in the previously unexplored region between topology and geometry. Just as physical geometry was thought to be trivial before Eintein, physicists have continued to work under the tacit -- but now shown to be incorrect -- assumption that differentiability is uniquely determined by topology for simple four-manifolds. Since diffeomorphisms are the mathematical models for physical coordinate transformations, Einstein's relativity principle requires that these models be physically inequivalent. This book provides an introductory survey of some of the relevant mathematics and presents preliminary results and suggestions for further applications to spacetime models.
The recent revolution in differential topology related to the discovery of non-standard ("exotic") smoothness structures on topologically trivial manifolds such as R4 suggests many exciting opportunities for applications of potentially deep importance for the spacetime models of theoretical physics, especially general relativity. This rich panoply of new differentiable structures lies in the previously unexplored region between topology and geometry. Just as physical geometry was thought to be trivial before Eintein, physicists have continued to work under the tacit -- but now shown to be incorrect -- assumption that differentiability is uniquely determined by topology for simple four-manifolds. Since diffeomorphisms are the mathematical models for physical coordinate transformations, Einstein's relativity principle requires that these models be physically inequivalent. This book provides an introductory survey of some of the relevant mathematics and presents preliminary results and suggestions for further applications to spacetime models.
Details
Erscheinungsjahr: 2005
Fachbereich: Astronomie
Genre: Importe, Physik
Rubrik: Naturwissenschaften & Technik
Thema: Lexika
Medium: Buch
ISBN-13: 9789810241957
ISBN-10: 981024195X
Sprache: Englisch
Einband: Gebunden
Autor: Asselmeyer-Maluga, Torsten
Brans, Carl H
Hersteller: World Scientific Publishing Company
Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße: 231 x 166 x 27 mm
Von/Mit: Torsten Asselmeyer-Maluga (u. a.)
Erscheinungsdatum: 01.04.2005
Gewicht: 0,635 kg
Artikel-ID: 132749057
Details
Erscheinungsjahr: 2005
Fachbereich: Astronomie
Genre: Importe, Physik
Rubrik: Naturwissenschaften & Technik
Thema: Lexika
Medium: Buch
ISBN-13: 9789810241957
ISBN-10: 981024195X
Sprache: Englisch
Einband: Gebunden
Autor: Asselmeyer-Maluga, Torsten
Brans, Carl H
Hersteller: World Scientific Publishing Company
Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße: 231 x 166 x 27 mm
Von/Mit: Torsten Asselmeyer-Maluga (u. a.)
Erscheinungsdatum: 01.04.2005
Gewicht: 0,635 kg
Artikel-ID: 132749057
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