2010/03/25 by Han-Ying Guo, Guo, Han-Ying, Hong-Tu Wu +4
Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th
paper · pdf · doi:10.48550/arxiv.1003.4969
25 pages
openalex publication_date 2010/03/25 · arxiv created 2012/08/22 · arxiv updated 2012/08/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We introduce the Poincaré-de Sitter flow with real numbers \r,s\ to parameterize the relativistic quadruple \frak QPoR=[\cal P, \cal P2, \cal D+,\cal D-]M/M_±/D_± for the triple of Poincaré/\dS/\AdS group \cal P/\cal D+/\cal D- invariant special relativity. The dual Poincaré group \cal P2-invariant degenerated Einstein manifold M_± of Λ_±=±3l-2 is for the space/time-like domain R_± of the compact lightcone CO associated to the common space/time-like region R_± of the lightcone CO at common origin on Minkowski/\dS/\AdS spacetime M/D+/D-. Based on the principle of relativity with two universal constants (c, l), there are the law of inertia, coordinate time simultaneity and so on for the flow on a Poincaré-\dS symmetric Einstein manifold of Λs=3sl-2. Further, there is Robertson-Walker-like cosmos of the flow for the propertime simultaneity. The \dS special relativity with double [\cal D+,\cal P2]D+/M+ can provide a consistent kinematics for the cosmic scale physics with an upper entropy bound SR=kBπg-2, g2:=(ℓP/R)2 ≃ 10-122, for R≃ (3/Λ)1/2∼ 13.7 Gly.