Deformed Spacetime: Geometrizing Interactions in Four and Five DimensionsSpringer Science & Business Media, 4 set 2007 - 506 pagine 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. |
Sommario
| 3 | |
| 9 | |
Deformed Special Relativity | 19 |
Metric Description of Interactions | 53 |
Infinitesimal Structure of Generalized SpaceTime | 79 |
Finite Structure of Deformed Chronotopical Groups | 92 |
1 | 99 |
Decomposition | 142 |
DEFORMED SPACETIME IN FIVE | 272 |
Einsteins Field Equations in R5 and Their Solutions | 287 |
24 | 293 |
Killing Equations in the Space R5 303 | 302 |
Killing Symmetries for the 5D Metrics | 313 |
V | 355 |
Complete Solutions of Geodesic Equations | 380 |
Conclusions and Perspectives | 389 |
Deformed SpaceTime Translations in Four Dimensions | 148 |
EXPERIMENTS ON DEFORMED | 182 |
Superluminal Propagation of Electromagnetic Waves | 195 |
The Coil Experiment | 213 |
The Speed of Gravity | 221 |
16 | 234 |
Piezonuclear Reactions in Cavitated Solutions | 253 |
21 | 268 |
Altre edizioni - Visualizza tutto
Deformed Spacetime: Geometrizing Interactions in Four and Five Dimensions Fabio Cardone,Roberto Mignani Anteprima non disponibile - 2010 |
Deformed Spacetime: Geometrizing Interactions in Four and Five Dimensions Fabio Cardone,Roberto Mignani Anteprima non disponibile - 2009 |
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4D deformed 5D metric anisotropic arctgh b² x5 bubble cavitation cbo x5 components considered contravariant coordinate corresponding covariant deformed boost deformed Lorentz deformed metric deformed Minkowski space deformed space-time dependence detectors diag DSR x5 Einstein electromagnetic energy range Euclidean experiment experimental extra dimension finite four-vector function fundamental interactions geodesic geometrical gravitational metric hadronic IDSR infinitesimal interaction ISBN KDSR Killing equations Killing group Killing vector Lagrange space Lie group Lorentz group Lorentz invariance Lorentz transformations matrix maximal causal metric coefficients metric tensor Minkowskian neutron nuclear parameters photon physical Poincaré group possible Power Ansatz quantum S)GEN SDSR 25 Sect solution sonotrode space-time spatial speed speed of gravity strong interaction structure T-hypothesis theory three-vector transformations ugrav velocity μν
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