A search for observational manifestations of de Sitter relativity

Abstract

De Sitter-invariant special relativity is a natural extension of Einstein’s special relativity. Within this framework, extension of special relativity to de Sitter space-time introduces a new length scale R, serving as an origin of the geometrical cosmological constant Λ = 3/R². De Sitter relativity predicts a departure from the Lorentz invariance due to space-time curvature, related to the geometrical cosmological constant. In this paper, the impact of de Sitter special relativity effects on threshold particle processes and equivalence principle violation is considered. The main conclusion is that the constraints coming from cosmological fine structure constant variations render this effects nowadays undetectable. A brief outlook is given thereafter.