Maguejo-Smolin Transformation as a Consequence of a Specific Definition of Mass, Velocity, and the Upper limit on Energy
| dc.creator | Granik, Alex | |
| dc.date | 2002-07-11 | |
| dc.date | 2008-03-30 | |
| dc.date.accessioned | 2026-07-07T09:29:13Z | |
| dc.date.available | 2026-07-07T09:29:13Z | |
| dc.description | 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. | |
| dc.description | 12 pages,1 figure, adding some detailed calculations | |
| dc.identifier | https://arxiv.org/abs/hep-th/0207113 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0207113 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/157703 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Maguejo-Smolin Transformation as a Consequence of a Specific Definition of Mass, Velocity, and the Upper limit on Energy | |
| dc.type | text |