ar X iv : h ep - t h / 05 05 17 1 v 2 1 2 A ug 2 00 5 SOLDERED BUNDLE BACKGROUND FOR THE DE SITTER TOP

ar X iv : h ep - t h / 05 05 17 1 v 1 1 8 M ay 2 00 5 SOLDERED BUNDLE GEOMETRY OF THE DE SITTER TOP

We prove that the mathematical framework for the de Sitter top system is the de Sitter fiber bundle. In this context, the concept of soldering associated with a fiber bundle plays a central role. We comment on the possibility that our formalism may be of particular interest in different contexts including MacDowell-Mansouri theory, two time physics and oriented matroid theory.

ar X iv : h ep - t h / 04 05 25 4 v 2 1 6 A ug 2 00 4 THE DE SITTER RELATIVISTIC TOP THEORY

We discuss the relativistic top theory from the point of view of the de Sitter (or anti de Sitter) group. Our treatment rests on Hanson-Regge’s spherical relativistic top lagrangian formulation. We propose an alternative method for studying spinning objects via Kaluza-Klein theory. In particular, we derive the relativistic top equations of motion starting with the geodesic equation for a point ...

ar X iv : h ep - t h / 05 11 23 3 v 1 2 3 N ov 2 00 5 One - loop f ( R ) Gravitational Modified Models

The one-loop quantisation of a general class of modified gravity models around a classical de Sitter background is presented. Application to the stability of the models is addressed.

ar X iv : h ep - t h / 05 11 23 3 v 2 2 9 N ov 2 00 5 One - loop f ( R ) Gravitational Modified Models

The one-loop quantisation of a general class of modified gravity models around a classical de Sitter background is presented. Application to the stability of the models is addressed.

ar X iv : h ep - p h / 06 08 05 0 v 1 4 A ug 2 00 6 Percolation and high energy cosmic rays above 10 17 eV