2004/09/30 by Alexei A. Deriglazov, A. A. Deriglazov · 3 citations
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Black Holes and Theoretical Physics #Classical mechanics #Conformal map #Doubly special relativity #Four-force #Four-momentum #Geodesic #Invariant (physics) #Kinematics #Lorentz covariance #Lorentz transformation #Mathematical analysis #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #One-way speed of light #Physics #Position (finance) #Special relativity #Test theories of special relativity #Theory of relativity #Velocity-addition formula #gr-qc #hep-th
paper · pdf · doi:10.1016/j.physletb.2004.10.024
published as Phys.Lett. B603 (2004) 124-129 · Latex twice, 12 pages, final version
openalex publication_date 2004/10/26 · arxiv created 2004/10/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We propose version of doubly special relativity theory starting from position space. The version is based on deformation of ordinary Lorentz transformations due to the special conformal transformation. There is unique deformation which does not modify rotations. In contrast to the Fock–Lorentz realization (as well as to recent position-space proposals), maximum signal velocity is position (and observer) independent scale in our formulation by construction. The formulation admits one more invariant scale identified with radius of three-dimensional space-like hypersection of space–time. We present the Lagrangian action for geodesic motion of a particle on the DSR space. The corresponding dynamics and kinematics are discussed in some details. In particular, we demonstrate that there is no of the problem of total momentum in the theory.