Title: Exotic Smoothness and Physics : Differential Topology and Spacetime Models
Publisher: World Scientific Publishing Company
Publication Date: 2005
Language: English
ISBN 10: 981024195X
ISBN 13: 9789810241957
Binding: Hardcover
Condition: As New

About this title

Synopsis

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 Einstein, 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.

Review

Readers who are willing to take this possibility into account will find this book most stimulating -- General Relativity and Gravitation "General Relativity and Gravitation"

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