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Kinematics of a relativistic particle with de Sitter momentum space

Kinematics of a relativistic particle with de Sitter momentum space

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 …