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Deformed Spacetime: Geometrizing Interactions in Four and Five Dimensions

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 th...

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Detalles Bibliográficos
Autores principales: Cardone, Fabio, Mignani, Roberto
Lenguaje:eng
Publicado: Springer 2007
Materias:
Acceso en línea:https://dx.doi.org/10.1007/978-1-4020-6283-4
http://cds.cern.ch/record/1068120
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author Cardone, Fabio
Mignani, Roberto
author_facet Cardone, Fabio
Mignani, Roberto
author_sort Cardone, Fabio
collection CERN
description 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 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.
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spelling cern-10681202021-04-22T01:56:34Zdoi:10.1007/978-1-4020-6283-4http://cds.cern.ch/record/1068120engCardone, FabioMignani, RobertoDeformed Spacetime: Geometrizing Interactions in Four and Five DimensionsGeneral Relativity and CosmologyThis 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 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.Springeroai:cds.cern.ch:10681202007
spellingShingle General Relativity and Cosmology
Cardone, Fabio
Mignani, Roberto
Deformed Spacetime: Geometrizing Interactions in Four and Five Dimensions
title Deformed Spacetime: Geometrizing Interactions in Four and Five Dimensions
title_full Deformed Spacetime: Geometrizing Interactions in Four and Five Dimensions
title_fullStr Deformed Spacetime: Geometrizing Interactions in Four and Five Dimensions
title_full_unstemmed Deformed Spacetime: Geometrizing Interactions in Four and Five Dimensions
title_short Deformed Spacetime: Geometrizing Interactions in Four and Five Dimensions
title_sort deformed spacetime: geometrizing interactions in four and five dimensions
topic General Relativity and Cosmology
url https://dx.doi.org/10.1007/978-1-4020-6283-4
http://cds.cern.ch/record/1068120
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AT mignaniroberto deformedspacetimegeometrizinginteractionsinfourandfivedimensions