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Geometry of physical dispersion relations

MPS-Authors
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Raetzel,  Dennis
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Rivera,  Sergio
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Schuller,  Frederic P.
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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1010.1369
(Preprint), 541KB

PRD83_044047.pdf
(Any fulltext), 508KB

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Citation

Raetzel, D., Rivera, S., & Schuller, F. P. (2011). Geometry of physical dispersion relations. Physical Review D., 83: 044047. doi:10.1103/PhysRevD.83.044047.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0011-300B-1
Abstract
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.