Triply Special Relativity is a deformation of Special Relativity based on three fundamental parameters that describes a noncommutative geometry on a curved space-time, preserving the Lorentz invariance and the principle of relativity. Its symmetries are generated by a 14-parameter nonlinear algebra. In this paper, we discuss a generalization of the original model and construct its realizations on a canonical phase space. We also investigate in more detail its classical limit, obtained by replacing the commutators by Poisson brackets.
Generalized triply special relativity models and their classical limit
Mignemi, Salvatore
2025-01-01
Abstract
Triply Special Relativity is a deformation of Special Relativity based on three fundamental parameters that describes a noncommutative geometry on a curved space-time, preserving the Lorentz invariance and the principle of relativity. Its symmetries are generated by a 14-parameter nonlinear algebra. In this paper, we discuss a generalization of the original model and construct its realizations on a canonical phase space. We also investigate in more detail its classical limit, obtained by replacing the commutators by Poisson brackets.
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