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Hossenfelder, Bounds on an Energy-Dependent and Observer-Independent Speed of Light from Violations of Locality, Physical Review Letters104, 140402 (2010), arXiv:1004.0418 [hep-ph]

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We show that models with deformations of special relativity that have an energy-dependent speed of light have non-local effects. The requirement that the arising non-locality is not in conflict with known particle physics allows us to derive strong bounds on deformations of special relativity and rule out a modification to first order in energy over the Planck mass.

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