The Principle of Relativity, Kinematics and Algebraic Relations
arXiv:0812.0871 · doi:10.1007/s11433-010-0162-6
Abstract
Based on the principle of relativity and the postulate on universal invariant constants (c,l), all possible kinematics can be set up with sub-symmetries of the Umov-Weyl-Fock transformations for the inertial motions. Further, in the combinatory approach, all these symmetries are intrinsically related to each other, e.g. to the very important dS kinematics for the cosmic scale physics.
11 pages
References in corpus (9)
- Snyder's Model -- de Sitter Special Relativity Duality and de Sitter Gravity
- Mechanics and Newton-Cartan-Like Gravity on the Newton-Hooke Space-time
- On Principle of Inertia in Closed Universe
- Three Kinds of Special Relativity via Inverse Wick Rotation
- Temperature at Horizon in de Sitter Spacetime
- Hamiltonian Formalism of the de-Sitter Invariant Special Relativity
- The Principle of Relativity and Special Relativity Triple
- Newton-Hooke Limit of Beltrami-de Sitter Spacetime, Principles of Galilei-Hooke's Relativity and Postulate on Newton-Hooke Universal Time
- The Triality of Conformal Extensions of Three Kinds of Special Relativity
Cited by in corpus (13)
- Carroll versus Newton and Galilei: two dual non-Einsteinian concepts of time
- Conformal Carroll groups
- Generalized Relativistic Kinematics
- Group theoretical construction of planar Noncommutative Phase Spaces
- Possible Supersymmetric Kinematics
- Geometries for Possible Kinematics
- New Geometry with All Killing Vectors Spanning the Poincaré Algebra
- Geometries with the second Poincaré symmetry
- Floer cohomology and pencils of quadrics
- Principle of Relativity, 24 possible kinematical algebras and new geometries with Poincaré symmetry
- Some Peculiarities of Newton-Hooke Space-Times
- Poincaré-De Sitter Flow and Cosmological Meaning
- A symplectic prolegomenon