Geometry of physical dispersion relations

Details Geometry of physical dispersion relations Geometry of physical dispersion relations

2010-10-07

arxiv.org/abs/1010.1369v2

Physics

High Energy Physics

High Energy Physics - Theory

revised version, new section on applications added, 46 pages, 9 figures

Scientific paper

To serve as a dispersion relation, a cotangent bundle function must satisfy three simple algebraic properties. These conditions are derived from the inescapable physical requirements to have predictive matter field dynamics and an observer-independent notion of positive energy. Possible modifications of the standard relativistic dispersion relation are thereby severely restricted. For instance, the dispersion relations associated with popular deformations of Maxwell theory by Gambini-Pullin or Myers-Pospelov are not admissible.

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