Five-Dimensional Mechanics as the Starting Point for the Magueijo-Smolin Doubly Special Relativity

Abstract

We discuss a way to obtain the doubly special relativity kinematical rules (the deformed energy-momentum relation and the nonlinear Lorentz transformations of momenta) starting from a singular Lagrangian action of a particle with linearly realized SO(1,4) symmetry group. The deformed energy-momentum relation appears in a special gauge of the model. The nonlinear transformations of momenta arise from the requirement of covariance of the chosen gauge.

5 pages, published in Physics Letters B

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Cited by in corpus (3)

• Non-Grassmann mechanical model of the Dirac equation
• Classical gauge principle -- From field theories to classical mechanics
• 5-Dimensional $SO(1,4)$-Invariant Action as an Origin to the Magueijo-Smolin Doubly Special Relativity Proposal