Generalized Lorentz invariance with an invariant energy scale

@article{Magueijo2002GeneralizedLI,
  title={Generalized Lorentz invariance with an invariant energy scale},
  author={Jo{\~a}o Magueijo and Lee Smolin},
  journal={Physical Review D},
  year={2002},
  volume={67},
  pages={044017}
}
The hypothesis that the Lorentz transformations may be modified at Planck scale energies is further explored. We present a general formalism for theories which preserve the relativity of inertial frames with a non-linear action of the Lorentz transformations on momentum space. Several examples are discussed in which the speed of light varies with energy and elementary particles have a maximum momenta and/or energy. Energy and momentum conservation are suitably generalized and a proposal is made… 

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