The nonrelativistic limit of the Magueijo-Smolin model of deformed special relativity
Dipartimento di Matematica, Università di Cagliari - viale Merello 92, 09123 Cagliari, Italy, EU and INFN, Sezione di Cagliari - Cagliari, Italy, EU
Accepted: 30 August 2010
We study the nonrelativistic limit of the motion of a classical particle and of the corresponding generalized Klein-Gordon and Dirac equations in a model of deformed special relativity, and show that they reproduce nonrelativistic classical and quantum mechanics, respectively, although the rest mass of a particle no longer coincides with its inertial mass. This fact clarifies the meaning of the different definitions of velocity of a particle available in the literature on deformed special relativity. Moreover, the rest masses of particles and antiparticles differ, violating the CPT invariance. This effect is close to observational limits and future experiments may give indications on its effective existence.
PACS: 11.30.Cp – Lorentz and Poincaré invariance / 11.30.Er – Charge conjugation, parity, time reversal, and other discrete symmetries
© EPLA, 2010