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

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...

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Veröffentlicht in:	arXiv.org 2011-08
Hauptverfasser:	Rizzuti, B F, Deriglazov, A A
Format:	Artikel
Sprache:	eng
Schlagworte:	Covariance Deformation Lorentz transformations Momentum Physics - General Relativity and Quantum Cosmology Physics - High Energy Physics - Theory Relativity Theory of relativity
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Beschreibung
Zusammenfassung:	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.
ISSN:	2331-8422
DOI:	10.48550/arxiv.1106.5397