Kinematics of a relativistic particle with de Sitter momentum space

Jerzy Kowalski-Glikman; Michele Arzano

Kinematics of a relativistic particle with de Sitter momentum space

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arxiv 1008.2962 v1 pith:VM2FBHJJ submitted 2010-08-17 hep-th gr-qc

Michele Arzano , Jerzy Kowalski-Glikman This is my paper · ORCID

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keywords spaceparticlerelativisticactiondeformedfreekinematicsmomentum

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We discuss kinematical properties of a free relativistic particle with deformed phase space in which momentum space is given by (a submanifold of) de Sitter space. We provide a detailed derivation of the action, Hamiltonian structure and equations of motion for such free particle. We study the action of deformed relativistic symmetries on the phase space and derive explicit formulas for the action of the deformed Poincare' group. Finally we provide a discussion on parametrization of the particle worldlines stressing analogies and differences with ordinary relativistic kinematics.

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Transverse relative locality effects in de Sitter spacetime
gr-qc 2025-07 conditional novelty 7.0 of 10

A transverse deformation of the 2+1D de Sitter algebra yields energy-dependent transverse shifts and curvature-induced angular deviations for observers separated by a comoving distance.

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