Large-scale non-locality in "doubly special relativity" with an energy-dependent speed of light

Details Large-scale non-locality in "doubly special relativity" with an energy-dependent speed of light Large-scale non-locality in "doubly special relativity" with an energy-dependent speed of light

2003-08-14

arxiv.org/abs/gr-qc/0308049v2

JETP Lett. 78 (2003) 431-435; Pisma Zh.Eksp.Teor.Fiz. 78 (2003) 899-903

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages RevTeX, several modifications

Scientific paper

10.1134/1.1633311

There are two major alternatives for violating the (usual) Lorentz invariance at large (Planckian) energies or momenta - either not all inertial frames (in the Planck regime) are equivalent (e.g., there is an effectively preferred frame) or the transformations from one frame to another are (non-linearly) deformed (``doubly special relativity''). We demonstrate that the natural (and reasonable) assumption of an energy-dependent speed of light in the latter method goes along with violations of locality/separability (and even translational invariance) on macroscopic scales. PACS: 03.30.+p, 11.30.Cp, 04.60.-m, 04.50.+h.

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