Deformed Spacetime
Geometrizing Interactions in Four and Five Dimensions

 154,99 €

 154,99 €
Description de l’éditeur
This volume provides a detailed discussion of the mathematical aspects and the physical applications of a new geometrical structure of spacetime, 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, specialrelativistic 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 fourdimensional energydependent spacetime is just a manifestation of a larger, fivedimensional space in which energy plays the role of a fifth (noncompactified) dimension. This new fivedimensional scheme (Deformed Relativity in Five Dimensions, DR5) represents a true generalization of the usual KaluzaKlein (KK) formalism.
The mathematical properties of such a generalized KK scheme are illustrated. They include the solutions of the fivedimensional 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 fivedimensional geodesics.
The mathematical results concerning the geometry of the deformed fivedimensional 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 spacetime 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.