Exotic Smoothness and Physics: Differential Topology and Spacetime Models
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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Torsten Asselmeyer-Maluga and Carl Brans: Exotic smoothness and ...
Gen Relativ Gravit (2007) 39:1963–1965. DOI 10.1007/s10714-007-0506-3. BOOK REVIEW. Torsten Asselmeyer-Maluga and Carl Brans:. Exotic smoothness and physics ...
www.springerlink.com/ index/ bn85142m42968021.pdf
EXOTIC SMOOTHNESS AND PHYSICS
EXOTIC SMOOTHNESS AND PHYSICS Differential Topology and Spacetime Models by Torsten Asselmeyer-Maluga (Humboldt University, Germany) & Carl H Brans (Loyola ...
www.worldscibooks.com/ physics/ 4323.html
Exotic smoothness and physics : differential topology
New Books in the Wolbach Library. 6/19/2007. Exotic smoothness and physics : differential topology. and spacetime models / Torsten Asselmeyer-Maluga, Carl ...
cfa-www.harvard.edu/ lib/ newbooks/ Newbooks20070619.pdf
SLAC Research Library | Community Pages
Title: Exotic smoothness and physics : Differential topology and spacetime models. Author(s): Torsten Asselmeyer-Maluga and Carl H. Brans. ...
www.slac.stanford.edu/ spires/ find/ books?irn=347744
Carl H. Brans' Physics Homepage
... gr-qc/0506063. contribution to Cuba workshop, 2004, Exotic Smoothness and Physics: Differential Topology and Spacetime Models, with T. Asselmeyer-Maluga ...
Exotic smoothness and physics: differential topology and spacetime ...
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