Deformed Spacetime
Geometrizing Interactions in Four and Five Dimensions
Authors: Cardone, Fabio, Mignani, Roberto
Free Preview Provides an exhaustive exposition of the theory of deformed spacetime, in four and five dimensions
 Discusses in detail the mathematical aspects of the formalism, including some new, unpublished results
 Provides a thorough account of the main experimental evidences for a possible deformed geometry of spacetime, including experiments in optics, gravity, cavitated fluids
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 About this book

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.  Reviews

From the reviews:
"This book deals with geometrizations of physical fields. The main emphasis is on theories with 4 and those with 5 spacetime dimensions. Several types of deformations are considered … . Almost 90 pages are given to the appendices which contain a lot of formulas in several subcases for the material used in the book. Reference list and subject index close this monograph valuable for specialists interested in this type of alternatives to General Relativity Theory." (HansJürgen Schmidt, Zentralblatt MATH, Vol. 1123 (1), 2008)
 Table of contents (26 chapters)


The Principle of Solidarity: Geometrical Descriptions of Interactions
Pages 38

Description of Interactions by EnergyDependent Metrics
Pages 918

Deformed Special Relativity
Pages 1951

Metric Description of Interactions
Pages 5365

Generalized Minkowski Spaces and Killing Symmetries
Pages 6978

Table of contents (26 chapters)
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Bibliographic Information
 Bibliographic Information

 Book Title
 Deformed Spacetime
 Book Subtitle
 Geometrizing Interactions in Four and Five Dimensions
 Authors

 Fabio Cardone
 Roberto Mignani
 Series Title
 Fundamental Theories of Physics
 Series Volume
 157
 Copyright
 2007
 Publisher
 Springer Netherlands
 Copyright Holder
 Springer Science+Business Media B.V.
 eBook ISBN
 9781402062834
 DOI
 10.1007/9781402062834
 Hardcover ISBN
 9781402062827
 Softcover ISBN
 9789048175956
 Series ISSN
 01681222
 Edition Number
 1
 Number of Pages
 XVIII, 506
 Topics