A new pseudoKaluzaKlein scheme for geometrical description of interactions
Abstract
We illustrate the main features of a new KaluzaKleinlike scheme (Deformed Relativity in five dimensions). It is based on a fivedimensional Riemannian space in which the fourdimensional spacetime metric is deformed (i.e. it depends on the energy) and energy plays the role of the fifth dimension. We review the solutions of the fivedimensional Einstein equations in vacuum and the geodetic equations in some cases of physical relevance. The Killing symmetries of the theory for the energydependent metrics corresponding to the four fundamental interactions (electromagnetic, weak, strong and gravitational) are discussed for the first time. Possible developments of the formalism are also briefly outlined.
 Publication:

arXiv eprints
 Pub Date:
 May 2005
 DOI:
 10.48550/arXiv.hepth/0505149
 arXiv:
 arXiv:hepth/0505149
 Bibcode:
 2005hep.th....5149C
 Keywords:

 High Energy Physics  Theory
 EPrint:
 51 pages. To be published in a monography on higherdimensional relativity theories, Nova Science (~ September 2005)