2002/07/11 by Alex Granik, Granik, Alex
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Nonlinear Waves and Solitons #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/0207113
12 pages,1 figure, adding some detailed calculations
openalex publication_date 2002/07/11 · arxiv created 2008/03/30 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider an alternative approach to non-linear special-relativistic theories. The point of departure is not κ-deformed algebra (or even group-theoretical considerations) but rather 3 physical postulates defining particle's velocity, mass, and the upper bound on its energy in terms of the respective classical quantities. For a specific definition of particle's velocity we obtain Magueijo-Smolin (MS) version of the double special-relativistic theory. It is shown that this version follows from the κ-Poincare algebra by the appropriate choice of on the shell mass, such that it is always less or equal Planck's mass. The κ-deformed Hamiltonian is found which invalidates some arguments about unphysical predictions of the MS transformation.