Deformed Spacetime

Geometrizing Interactions in Four and Five Dimensions
2007. Auflage 2007
ISBN: 978-1-4020-6282-7
Verlag: Springer

Buch, Englisch, 506 Seiten, Format (B × H): 164 mm x 240 mm, Gewicht: 1021 g

Reihe: Fundamental Theories of Physics

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.

Zielgruppe

Research

Autoren/Hrsg.

Cardone, Fabio

Mignani, Roberto

Fachgebiete

• Naturwissenschaften Physik Quantenphysik Relativität, Gravitation
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik

Inhaltsverzeichnis

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.