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VOLUME 78 (2003) | ISSUE 7 | PAGE 899
Large-scale non-locality in "doubly special relativity" with an energy-dependent speed of light
PACS: 03.30.+p, 04.50.+h, 04.60.-m, 11.30.Cp
Abstract
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.