A new pseudo-Kaluza-Klein scheme for geometrical description of interactions
Abstract
We illustrate the main features of a new Kaluza-Klein-like scheme (Deformed Relativity in five dimensions). It is based on a five-dimensional Riemannian space in which the four-dimensional space-time 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 five-dimensional Einstein equations in vacuum and the geodetic equations in some cases of physical relevance. The Killing symmetries of the theory for the energy-dependent 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.
Keywords
Cite
@article{arxiv.hep-th/0505149,
title = {A new pseudo-Kaluza-Klein scheme for geometrical description of interactions},
author = {Fabio Cardone and Alessio Marrani and Roberto Mignani},
journal= {arXiv preprint arXiv:hep-th/0505149},
year = {2025}
}
Comments
51 pages. To be published in a monography on higher-dimensional relativity theories, Nova Science (~ September 2005)