The Leading eBooks Store Online
for Kindle Fire, Apple, Android, Nook, Kobo, PC, Mac, Sony Reader...
Deformed Spacetime
Geometrizing Interactions in Four and Five Dimensions
US$ 199.99
(+ tax)
Preview (read now)
Add to my own site
Give this ebook to a friend
Add to my wishlist
Author's page
Publisher's page
Devices
- iPad
- PC
- e-readers with Adobe Digital Editions installed
- Mac
See the full list
Available Devices
X
This book is available for the following devices:
- iPad
- Windows
- Mac
- Sony Reader
- Cool-er Reader
- Nook
- Kobo Reader
- iRiver Story
File Formats
Download: secure PDF.
You can also read this book online in eb20 format without having to download anything.
You can also read this book online in eb20 format without having to download anything.
Permissions
Printing
Copy/Paste
Read Aloud
Printing
Copy/Paste
Read Aloud
more
This volume provides a detailed discussion of the mathematical aspects and the physical applications of a new geometrical structure of space-time, based on a generalization ("deformation") of the usual Minkowski space, as supposed to be endowed with a metric whose coefficients depend on the energy. Such a formalism (Deformed Special Relativity, DSR) allows one to account for breakdown of local Lorentz invariance in the usual, special-relativistic meaning (however, Lorentz invariance is recovered in a generalized sense) to provide an effective geometrical description of the four fundamental interactions (electromagnetic, weak, strong and gravitational) Moreover, the four-dimensional energy-dependent space-time is just a manifestation of a larger, five-dimensional space in which energy plays the role of a fifth (non-compactified) dimension. This new five-dimensional scheme (Deformed Relativity in Five Dimensions, DR5) represents a true generalization of the usual Kaluza-Klein (KK) formalism. The mathematical properties of such a generalized KK scheme are illustrated. They include the solutions of the five-dimensional Einstein equations in vacuum in most cases of physical relevance, the infinitesimal symmetries of the theory for the phenomenological metrics of the four interactions, and the study of the five-dimensional geodesics. The mathematical results concerning the geometry of the deformed five-dimensional spacetime (like its Killing symmetries) can be applied also to other multidimensional theories with infinite extra dimensions. Some experiments providing preliminary evidence for the hypothesized deformation of space-time for all thefour fundamental interactions are discussed.
less
