Conserved quantities for the Sitter particles

摘要: Recent observations of the luminosity-red shift relation distant type Ia supernovae established fact that expansion universe is accelerated. This interpreted by saying there exists some kind agent (called dark energy), which exerts an overall repulsive effect on ordinary matter. Dark energy contributes today in amount about 73 % to total content universe, and its spatial distribution compatible with perfect uniformity. The simplest possible explanation for assume it just a universal constant, so called cosmological constant. would mean background arena all natural phenomena, once physical matter-energy has been ideally removed, de Sitter space time. Thus, Poincar\'e group should be replaced group, one naturally led reformulation theory special relativity these grounds. absence privileged class equivalent frames (inertial frames) suggests that, desirable, characterize significant quantities intrinsic way, namely manner independent choice any particular coordinate patch. In this talk we like show how can accomplished set conserved along geodesic motion free particle. These allow discussion classical pointlike scattering decay processes.