Exotic Smoothness and Physics Differential Topology and Spacetime Models pdf


0

Exotic Smoothness and Physics Differential Topology and Spacetime Models pdf

Exotic Smoothness and Physics Differential Topology and Spacetime Models pdf : Pages 399

By Torsten Asselmeyer-Maluga; Carl H. Brans

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.

Publisher: World Scientific Publishing, Year: 2007

ISBN: 9789810241957,981-024195-X

Torsten Asselmeyer-Maluga_ Carl H. Brans – Exotic Smoothness and Physics_ Differential Topology and Spacetime Models-World Scientific Publishing (2007)


Like it? Share with your friends!

0

What's Your Reaction?

hate hate
0
hate
confused confused
0
confused
fail fail
0
fail
fun fun
0
fun
geeky geeky
0
geeky
love love
0
love
lol lol
0
lol
omg omg
0
omg
win win
0
win
Kamel Aouadi

0 Comments

Votre adresse de messagerie ne sera pas publiée. Les champs obligatoires sont indiqués avec *

Choose A Format
Personality quiz
Series of questions that intends to reveal something about the personality
Trivia quiz
Series of questions with right and wrong answers that intends to check knowledge
Poll
Voting to make decisions or determine opinions
Story
Formatted Text with Embeds and Visuals
List
The Classic Internet Listicles
Countdown
The Classic Internet Countdowns
Open List
Submit your own item and vote up for the best submission
Ranked List
Upvote or downvote to decide the best list item
Meme
Upload your own images to make custom memes
Video
Youtube, Vimeo or Vine Embeds
Audio
Soundcloud or Mixcloud Embeds
Image
Photo or GIF
Gif
GIF format