Exotic Smoothness And Physics: Differential Topology And Spacetime Models (Hardcover)

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.

General

Imprint:	World Scientific Publishing Co Pte Ltd
Country of origin:	Singapore
Release date:	2007
First published:	April 2005
Authors:	Torsten Asselmeyer-Maluga • Carl H Brans
Dimensions:	237 x 163 x 23mm (L x W x T)
Format:	Hardcover
Pages:	336
ISBN-13:	978-981-02-4195-7
Categories:	Books > Science & Mathematics > Mathematics > Geometry > General Books > Science & Mathematics > Mathematics > Applied mathematics > Fractals Promotions
LSN:	981-02-4195-X
Barcode:	9789810241957

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