Deformed Spacetime

Geometrizing Interactions in Four and Five Dimensions

By: Fabio Cardone, Roberto Mignani

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Hardcover | 8 August 2007

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524 Pages

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23.5 x 15.88 x 2.54

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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.

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"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-Juergen Schmidt, Zentralblatt MATH, Vol. 1123 (1), 2008)

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You Can Find This Book In

Non-Fiction Science Physics Relativity Physics Philosophy Metaphysics & Ontology Mathematical Physics Particle & High-Energy Physics Electricity Science in General Maths for Scientists Nuclear Physics

Optical Physics Mathematics Applied Mathematics Statistical Physics Classical Mathematics Gravity Quantum Physics & Quantum Mechanics & Quantum Field Theory

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Paperback

Published: 30th November 2010

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Physics of Deformed Space-Time
The Principle of Solidarity: Geometrical Descriptions of Interactions	p. 3
Description of Interactions by Energy-Dependent Metrics	p. 9
Deformed Special Relativity	p. 19
Metric Description of Interactions	p. 53
Mathematics of Deformed Space-Time	p. 67
Generalized Minkowski Spaces and Killing Symmetries	p. 69
Infinitesimal Structure of Generalized Space-Time Rotation Groups	p. 79
Finite Structure of Deformed Chronotopical Groups	p. 99
Deformed Space-Time Translations in Four Dimensions	p. 155
Deformed Minkowski Space as Generalized Lagrange Space	p. 171
Experiments on Deformed Space-Time	p. 183
Lorentz and CPT Symmetries in DSR	p. 185
Lorentz Invariance Breakdown: A Brief Survey	p. 189
Superluminal Propagation of Electromagnetic Waves	p. 195
The Shadow of Light: Lorentzian Violation of Electrodynamics in Photon Systems	p. 199
The Coil Experiment	p. 213
The Speed of Gravity	p. 221
Piezonuclear Reactions in Cavitated Water	p. 235
Piezonuclear Reactions in Cavitated Solutions	p. 253
Deformed Space-Time in Five Dimensions: Geometry	p. 273
Multidimensional Space-Time	p. 275
Embedding Deformed Minkowski Space in a 5D Riemann Space	p. 279
Einstein's Field Equations in R[subscript 5] and Their Solutions	p. 287
Killing Equations in the Space R[subscript 5]	p. 303
Killing Symmetries for the 5D Metrics of Fundamental Interactions	p. 313
Deformed Space-Time in Five Dimensions: Dynamics	p. 355
Dynamics in DR5	p. 357
Solution of the Geodesic Equations in the Power Ansatz	p. 361
Complete Solutions of Geodesic Equations	p. 379
Conclusions and Perspectives	p. 389
Reductivity of the [gamma]-Hypothesis	p. 395
Gravitational Killing Symmetries	p. 413
Explicit and Implicit Forms of Geodesics for the 12 Classes of Solutions of Einstein's Equations in Vacuum in the Power Ansatz	p. 445
Table of Contents provided by Blackwell. All Rights Reserved.

Deformed Spacetime

Geometrizing Interactions in Four and Five Dimensions

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Hardcover

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Other Editions and Formats

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