### Abstract

We discuss a way to obtain the doubly special relativity kinematical rules (the deformed energy-momentum relation and the nonlinear Lorentz transformations of momenta) starting from a singular Lagrangian action of a particle with linearly realized SO(1,4) symmetry group. The deformed energy-momentum relation appears in a special gauge of the model. The nonlinear transformations of momenta arise from the requirement of covariance of the chosen gauge.

Original language | English |
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Pages (from-to) | 173-176 |

Number of pages | 4 |

Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |

Volume | 702 |

Issue number | 2-3 |

DOIs | |

Publication status | Published - 11 Aug 2011 |

Externally published | Yes |

### Keywords

- Doubly special relativity models
- Nonlinear Lorentz transformations

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

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## Cite this

Rizzuti, B. F., & Deriglazov, A. A. (2011). Five-dimensional mechanics as the starting point for the Magueijo-Smolin doubly special relativity.

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*,*702*(2-3), 173-176. https://doi.org/10.1016/j.physletb.2011.06.078