
Title  Deformed Spacetime : Geometrizing Interactions in Four and Five Dimensions 
Author(s)  Cardone, Fabio;Mignani, Roberto 
Publication  Dordrecht, Springer Netherlands, 2007. 
Description  XVIII, 506 p : online resource 
Abstract Note  This volume provides a detailed discussion of the mathematical aspects and the physical applications of a new geometrical structure of spacetime, 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, specialrelativistic 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 fourdimensional energydependent spacetime is just a manifestation of a larger, fivedimensional space in which energy plays the role of a fifth (noncompactified) dimension. This new fivedimensional scheme (Deformed Relativity in Five Dimensions, DR5) represents a true generalization of the usual KaluzaKlein (KK) formalism. The mathematical properties of such a generalized KK scheme are illustrated. They include the solutions of the fivedimensional 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 fivedimensional geodesics. The mathematical results concerning the geometry of the deformed fivedimensional 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 spacetime for all the four fundamental interactions are discussed. Audience: Graduate students and researchers in mathematics and physics; researchers and engineers working in nuclear and space industries, space agencies, governmental scientific (including military and defense) institutions 
ISBN,Price  9781402062834 
Keyword(s)  1. Applications of Mathematics
2. APPLIED MATHEMATICS
3. Classical and Quantum Gravitation, Relativity Theory
4. CLASSICAL ELECTRODYNAMICS
5. EBOOK
6. EBOOK  SPRINGER
7. ELECTRODYNAMICS
8. ENGINEERING MATHEMATICS
9. GRAVITATION
10. Mathematical Methods in Physics
11. NUCLEAR PHYSICS
12. OPTICS
13. Particle and Nuclear Physics
14. PHYSICS
15. Quantum Field Theories, String Theory
16. QUANTUM FIELD THEORY
17. STRING THEORY

Item Type  eBook 
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