Exotic Smoothness and Physics 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Brans, Carl H. 作者

World Scientific Pub Co Inc

译者

出版日期

322 页数

$ 149.16 价格

HRD

丛书系列

9789810241957 图书编码

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发表于2024-09-20

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Exotic Smoothness and Physics 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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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 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.

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