Exotic Smoothness And Physics: Differential Topology And Spacetime Models
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€128.99
A01=Carl H Brans
A01=Torsten Asselmeyer-maluga
Author_Carl H Brans
Author_Torsten Asselmeyer-maluga
Category=PBMP
Category=PBP
Category=PHR
Category=PHU
eq_bestseller
eq_isMigrated=1
eq_nobargain
eq_non-fiction
eq_science
Product details
- ISBN 9789810241957
- Publication Date: 24 Jan 2007
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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.
