Relativistic deformed kinematics from locality conditions in a generalized spacetime

Abstract

We show how a deformed composition law of four-momenta can be used to define, at the classical level, a modified notion of spacetime for a system of two particles through the crossing of worldlines in particle interactions. We present a derivation of a generic relativistic isotropic deformed kinematics and discuss the complementarity and relations with other derivations based on $\kappa$-Poincaré Hopf algebra or on the geometry of a maximally symmetric momentum space.

16 pages

References in corpus (3)

• Searching for photon-sector Lorentz violation using gravitational-wave detectors
• Spacetime and deformations of special relativistic kinematics
• Multi-particle systems in $\kappa$-Poincaré inspired by 2+1D gravity

Cited by in corpus (5)

• Geometrizing the Klein-Gordon and Dirac equations in Doubly Special Relativity
• Geometry of multi-particle systems with a relativistic deformed kinematics and the relative locality principle
• Time delays, choice of energy-momentum variables and relative locality in doubly special relativity
• Deformed Quantum Phase Spaces, Realizations, Star Products and Twists
• Anti-de Sitter Momentum Space in 3D and 4D Quantum Gravity