Overview

This volume provides a detailed discussion of the mathematical aspects and 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. This new five-dimensional scheme (Deformed Relativity in Five Dimensions, DR5) represents a true generalization of the usual Kaluza-Klein (KK) formalism.

Full Product Details

Author:   Fabio Cardone ,  Roberto Mignani
Publisher:   Springer
Imprint:   Springer
Edition:   Softcover reprint of hardcover 1st ed. 2007
Volume:   157
Dimensions:   Width: 15.50cm , Height: 2.60cm , Length: 23.50cm
Weight:   0.795kg
ISBN:  

9789048175956

ISBN 10:   904817595
Pages:   506
Publication Date:   30 November 2010
Audience:   Professional and scholarly ,  Professional and scholarly ,  Professional & Vocational ,  Postgraduate, Research & Scholarly
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of print, replaced by POD  
We will order this item for you from a manufatured on demand supplier.

Table of Contents

Physics Of Deformed Space-Time.- The Principle of Solidarity: Geometrical Descriptions of Interactions.- Description of Interactions by Energy-Dependent Metrics.- Deformed Special Relativity.- Metric Description of Interactions.- Mathematics Of Deformed Space–Time.- Generalized Minkowski Spaces and Killing Symmetries.- Infinitesimal Structure of Generalized Space–Time Rotation Groups.- Finite Structure of Deformed Chronotopical Groups.- Deformed Space–Time Translations in Four Dimensions.- Deformed Minkowski Space as Generalized Lagrange Space.- Experiments On Deformed Space–Time.- Lorentz and CPT Symmetries in DSR.- Lorentz Invariance Breakdown: A Brief Survey.- Superluminal Propagation of Electromagnetic Waves.- The Shadow of Light: Lorentzian Violation of Electrodynamics in Photon Systems.- The Coil Experiment.- The Speed of Gravity.- Piezonuclear Reactions in Cavitated Water.- Piezonuclear Reactions in Cavitated Solutions.- Deformed Space–Time In Five Dimensions: Geometry.- Multidimensional Space–Time.- Embedding Deformed Minkowski Space in a 5D Riemann Space.- Einstein's Field Equations in R5 and Their Solutions.- Killing Equations in the Space R5.- Killing Symmetries for the 5D Metrics of Fundamental Interactions.- Deformed Space–Time In Five Dimensions: Dynamics.- Dynamics in DR5.- Solution of the Geodesic Equations in the Power Ansatz.- Complete Solutions of Geodesic Equations.- Conclusions and Perspectives.

Reviews

"From the reviews: ""This book deals with geometrizations of physical fields. The main emphasis is on theories with 4 and those with 5 space-time 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."" (Hans-Jürgen Schmidt, Zentralblatt MATH, Vol. 1123 (1), 2008)"

From the reviews: This book deals with geometrizations of physical fields. The main emphasis is on theories with 4 and those with 5 space-time 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. (Hans-Jurgen Schmidt, Zentralblatt MATH, Vol. 1123 (1), 2008)

From the reviews: This book deals with geometrizations of physical fields. The main emphasis is on theories with 4 and those with 5 space-time 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. (Hans-Jurgen Schmidt, Zentralblatt MATH, Vol. 1123 (1), 2008)

From the reviews: This book deals with geometrizations of physical fields. The main emphasis is on theories with 4 and those with 5 space-time 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. (Hans-Jurgen Schmidt, Zentralblatt MATH, Vol. 1123 (1), 2008)

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