2009/09/30 by Han-Ying Guo, Guo, Han-Ying, Hong-Tu Wu +1
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Relativity and Gravitational Theory #math-ph #math.MP
paper · pdf · doi:10.48550/arxiv.0909.5497
16 pages. Extended version
arxiv created 2010/03/02 · arxiv updated 2010/03/05
Based on the principle of relativity with two universal constants (c, l) and in the inertial motion group IM(1,3)∼ PGL(5,R), with Lorentz isotropy, in addition to Poincaré group of Einstein's SR the dual Poincaré group preserves the origin lightcone and its space/time-like region R_± appeared at common origin of intersected Minkowski/dS/AdS space. The dual Poincare kinematics is on a pair of degenerate Einstein manifolds with Λ_±=±3l-2 for R_±, respectively. Thus, there is a Poincaré double and the dS double for dS/AdS SR. Further, with other four doubles they form a relativistic quadruple for three kinds of SR on M/D_±, respectively. The dS SR with the dS-dual Poincare double provides new kinematics for cosmic scale physics.