Relativistic kinematics beyond Special Relativity

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.

Version with minor corrections, to appear in Phys. Rev. D

References in corpus (2)

• Quantum Gravity at a Lifshitz Point
• Bounds on an energy-dependent and observer-independent speed of light from violations of locality

Cited by in corpus (5)

• Investigation on Finsler geometry as a generalization to curved spacetime of Planck-scale-deformed relativity in the de Sitter case
• Noncommutative Spaces and Poincaré Symmetry
• Acceleration and propagation of ultra high energy cosmic rays
• Beyond Special Relativity at second order
• Non-universal relativistic kinematics