2010/06/30 by Ludwik Dabrowski, Ludwik Dąbrowski, Gherardo Piacitelli
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Covariance #Covariant transformation #Group (periodic table) #Lie group #Mathematical physics #Mathematics #Minkowski space #Noncommutative and Quantum Gravity Theories #Physics #Poincaré conjecture #Poincaré group #Pure mathematics #Quantum #Quantum Mechanics and Applications #Quantum mechanics #Semiclassical physics #Spacetime #Special relativity #Statistics #Theoretical physics #Theory of relativity #Unitary representation #hep-th
paper · pdf · doi:10.1016/j.physleta.2011.08.011
published as Physics Letters A, Volume 375, Issue 40, 19 September 2011, Pages 3496--3498 · 9 pages, with active links. Minor changes in presentation. To appear on PLA
arxiv created 2011/08/04 · openalex publication_date 2011/08/15 · arxiv updated 2012/06/12 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
A fully Poincare' covariant model is constructed out of the k-Minkowski spacetime. Covariance is implemented by a unitary representation of the Poincare' group, and thus complies with the original Wigner approach to quantum symmetries. This provides yet another example (besides the DFR model), where Poincare' covariance is realised a` la Wigner in the presence of two characteristic dimensionful parameters: the light speed and the Planck length. In other words, a Doubly Special Relativity (DSR) framework may well be realised without deforming the meaning of "Poincare covariance".