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arXiv · 1206.5961

Relativistic kinematics beyond Special Relativity

J. M. Carmona·J. L. Cortes·F. Mercati
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Abstract

In the context of departures from Special Relativity written as a momentum power expansion in the inverse of an ultraviolet energy scale M, we derive the constraints that the relativity principle imposes between coefficients of a deformed composition law, dispersion relation, and transformation laws, at first order in the power expansion. In particular, we find that, at that order, the consistency of a modification of the energy-momentum composition law fixes the modification in the dispersion relation. We therefore obtain the most generic modification of Special Relativity that preserves the relativity principle at leading order in 1/M.

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J. M. Carmona, J. L. Cortes, F. Mercati. 2012-09-28. Relativistic kinematics beyond Special Relativity. https://doi.org/10.1103/physrevd.86.084032

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