A ug 2 00 5 A spacetime realization of κ - Poincaré algebra
نویسنده
چکیده
We study a Hamiltonian realization of the phase space of κ-Poincaré algebra that yields a definition of velocity consistent with the deformed Lorentz symmetry. We are also able to determine the laws of transformation of spacetime coordinates and to define an invariant spacetime metric, and discuss some possible experimental consequences.
منابع مشابه
/ 06 02 00 9 v 1 1 F eb 2 00 6 κ - Minkowski Particle and Doubly Special Relativity : A Dynamical Realization
In this paper we have provided the " Missing Link " between κ-Minkowski spacetime and Doubly Special Relativity (DSR). We have constructed a relativistic point particle Lagrangian that has the κ-Minkowski algebra as its symplectic structure and has the DSR dispersion relation as its energy spectrum. Thus a dynamical connection between κ-Minkowski spacetime and DSR framework has been established...
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Some classes of Deformed Special Relativity (DSR) theories are reconsidered within the Hopf algebraic formulation. For this purpose we shall explore a minimal framework of deformed Weyl–Heisenberg algebras provided by a smash product construction of DSR algebra. It is proved that this DSR algebra, which uniquely unifies κ-Minkowski spacetime coordinates with Poincaré generators, can be obtained...
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Following the methods developed by Corley and Jacobson, we consider qualitatively the issue of Hawking radiation in the case when the dispersion relation is dictated by quantum κ-Poincaré algebra. This relation corresponds to field equations that are non-local in time, and, depending on the sign of the parameter κ, to sub-or superluminal signal propagation. We also derive the conserved inner pr...
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We consider the extensions of classical r-matrix for κ-deformed Poincaré algebra which satisfy modified Yang-Baxter equation. Two examples introducing additional deformation parameter (dimension-full 1 κ or dimensionless ξ) are presented. We describe the corresponding quantization (two-parameter κ-Poincaré quantum Hopf algebras) in explicite form as obtained by twisting of standard κ-deformed f...
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