2021/04/13 by José Manuel Carmona, José Luis Cortés, José Javier Relancio
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Homotopy and Cohomology in Algebraic Topology #Kinematics #Locality #Momentum (technical analysis) #Motion (physics) #Noncommutative and Quantum Gravity Theories #Position and momentum space #Relativistic dynamics #Space (punctuation) #Space time #gr-qc #hep-th
paper · pdf · doi:10.3390/universe7040099
published as Universe 7, 4 (2021) · 18 pages
openalex publication_date 2021/04/13 · arxiv created 2021/04/15 · arxiv updated 2021/04/16 · openalex created_date 2021/04/26 · openalex updated_date 2026/08/05
We establish the correspondence between two apparently unrelated but in fact complementary approaches of a relativistic deformed kinematics: the geometric properties of momentum space and the loss of absolute locality in canonical space-time, which can be restored with the introduction of a generalized space-time. This correspondence is made explicit for the case of κ-Poincaré kinematics and compared with its properties in the Hopf algebra framework.