### Abstract

We propose version of doubly special relativity theory starting from position space. The version is based on deformation of ordinary Lorentz transformations due to the special conformal transformation. There is unique deformation which does not modify rotations. In contrast to the Fock-Lorentz realization (as well as to recent position-space proposals), maximum signal velocity is position (and observer) independent scale in our formulation by construction. The formulation admits one more invariant scale identified with radius of three-dimensional space-like hypersection of space-time. We present the Lagrangian action for geodesic motion of a particle on the DSR space. The corresponding dynamics and kinematics are discussed in some details. In particular, we demonstrate that there is no of the problem of total momentum in the theory.

Original language | English |
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Pages (from-to) | 124-129 |

Number of pages | 6 |

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

Volume | 603 |

Issue number | 3-4 |

DOIs | |

Publication status | Published - 9 Dec 2004 |

### Fingerprint

### Keywords

- Deformed energy-momentum relations
- Doubly special relativity
- Lorentz violating

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

**Doubly special relativity in position space starting from the conformal group.** / Deriglazov, A. A.

Research output: Contribution to journal › Article

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*, vol. 603, no. 3-4, pp. 124-129. https://doi.org/10.1016/j.physletb.2004.10.024

}

TY - JOUR

T1 - Doubly special relativity in position space starting from the conformal group

AU - Deriglazov, A. A.

PY - 2004/12/9

Y1 - 2004/12/9

N2 - We propose version of doubly special relativity theory starting from position space. The version is based on deformation of ordinary Lorentz transformations due to the special conformal transformation. There is unique deformation which does not modify rotations. In contrast to the Fock-Lorentz realization (as well as to recent position-space proposals), maximum signal velocity is position (and observer) independent scale in our formulation by construction. The formulation admits one more invariant scale identified with radius of three-dimensional space-like hypersection of space-time. We present the Lagrangian action for geodesic motion of a particle on the DSR space. The corresponding dynamics and kinematics are discussed in some details. In particular, we demonstrate that there is no of the problem of total momentum in the theory.

AB - We propose version of doubly special relativity theory starting from position space. The version is based on deformation of ordinary Lorentz transformations due to the special conformal transformation. There is unique deformation which does not modify rotations. In contrast to the Fock-Lorentz realization (as well as to recent position-space proposals), maximum signal velocity is position (and observer) independent scale in our formulation by construction. The formulation admits one more invariant scale identified with radius of three-dimensional space-like hypersection of space-time. We present the Lagrangian action for geodesic motion of a particle on the DSR space. The corresponding dynamics and kinematics are discussed in some details. In particular, we demonstrate that there is no of the problem of total momentum in the theory.

KW - Deformed energy-momentum relations

KW - Doubly special relativity

KW - Lorentz violating

UR - http://www.scopus.com/inward/record.url?scp=8444248352&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=8444248352&partnerID=8YFLogxK

U2 - 10.1016/j.physletb.2004.10.024

DO - 10.1016/j.physletb.2004.10.024

M3 - Article

AN - SCOPUS:8444248352

VL - 603

SP - 124

EP - 129

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

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

SN - 0370-2693

IS - 3-4

ER -