κ-Deformations and Extended κ-Minkowski Spacetimes
نویسندگان
چکیده
منابع مشابه
κ-Minkowski Spacetimes and DSR Algebras: Fresh Look and Old Problems
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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A velocity of a point particle in the κ-Minkowski spacetime is investigated. Characteristic points of the spacetime are that the Poincare group becomes a quantum group with κ, which is a mass dimension parameter, and is a kind of noncommutative geometry. We consider a particle in a coordinate space instead of it in a momentum space which is discussed in many articles. We see that the particle’s...
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We have proposed a generally covariant non-relativistic particle model that can represent the κ-Minkowski noncommutative spacetime. The idea is similar in spirit to the noncommutative particle coordinates in the lowest Landau level. Physically our model yields a novel type of dynamical system, (termed here as Exotic ”Oscillator”), that obeys a Harmonic Oscillator like equation of motion with a ...
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ژورنال
عنوان ژورنال: Symmetry, Integrability and Geometry: Methods and Applications
سال: 2014
ISSN: 1815-0659
DOI: 10.3842/sigma.2014.107