2016/04/26 by D. A. Tretyakova, Daria A. Tretyakova
Physics and Astronomy · #Cosmological constant #Cosmology and Gravitation Theories #De Sitter universe #Doubly special relativity #Four-force #General relativity #Lorentz transformation #Noncommutative and Quantum Gravity Theories #Relativity and Gravitational Theory #Special relativity #Theory of relativity #de Sitter invariant special relativity #gr-qc #hep-ph
paper · pdf · doi:10.1134/s0202289316040150
published as Gravitation and Cosmology, 2016, Vol. 22, N. 4, pp. 339-344
arxiv created 2016/04/26 · openalex created_date 2016/06/24 · openalex publication_date 2016/10/01 · arxiv updated 2016/10/28 · openalex updated_date 2026/08/05
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/R 2. 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.