Deformed Spacetime

Geometrizing Interactions in Four and Five Dimensions

Fabio Cardone, Roberto Mignani (Autoren)

Buch | Softcover

506 Seiten

2010 | Softcover reprint of hardcover 1st ed. 2007
Springer (Verlag)
978-90-481-7595-6 (ISBN)

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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.

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.

Erscheint lt. Verlag	30.11.2010
Reihe/Serie	Fundamental Theories of Physics ; 157
Zusatzinfo	XVIII, 506 p.
Verlagsort	Dordrecht
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Naturwissenschaften ► Physik / Astronomie ► Allgemeines / Lexika
	Naturwissenschaften ► Physik / Astronomie ► Atom- / Kern- / Molekularphysik
	Naturwissenschaften ► Physik / Astronomie ► Elektrodynamik
	Naturwissenschaften ► Physik / Astronomie ► Hochenergiephysik / Teilchenphysik
	Naturwissenschaften ► Physik / Astronomie ► Optik
	Naturwissenschaften ► Physik / Astronomie ► Relativitätstheorie
	Naturwissenschaften ► Physik / Astronomie ► Thermodynamik
ISBN-10	90-481-7595-X / 904817595X
ISBN-13	978-90-481-7595-6 / 9789048175956
Zustand	Neuware