Exotic Smoothness and Physics: Differential Topology and Spacetime Models

Author:   Torsten Asselmeyer-Maluga ,  Carl H Brans
Publisher:   World Scientific Publishing Company
ISBN:  

9786611120757


Pages:   336
Publication Date:   23 January 2007
Format:   Electronic book text
Availability:   Out of stock   Availability explained
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Exotic Smoothness and Physics: Differential Topology and Spacetime Models


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Overview

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.

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Author:   Torsten Asselmeyer-Maluga ,  Carl H Brans
Publisher:   World Scientific Publishing Company
Imprint:   World Scientific Publishing Company
ISBN:  

9786611120757


ISBN 10:   6611120750
Pages:   336
Publication Date:   23 January 2007
Audience:   General/trade ,  General
Format:   Electronic book text
Publisher's Status:   Active
Availability:   Out of stock   Availability explained
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

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