Deformed Spacetime: Geometrizing Interactions in Four and Five Dimensions

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Springer 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

Geometrical Descriptions
3
Description of Interactions
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
A Reductivity of the THypothesis
395
222
407
B Gravitational Killing Symmetries 413
412
Explicit and Implicit Forms of Geodesics for the 12 Classes
445
References
481
Index 491
490
Copyright

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