Spacetime from locality of interactions in deformations of special relativity: the example of $\kappa$-Poincaré Hopf algebra

Abstract

A new proposal for the notion of spacetime in a relativistic generalization of special relativity based on a modification of the composition law of momenta is presented. Locality of interactions is the principle which defines the spacetime structure for a system of particles. The formulation based on $\kappa$-Poincaré Hopf algebra is shown to be contained in this framework as a particular example.

14 pages

References in corpus (6)

• Speed of particles and a relativity of locality in $\kappa$-Minkowski quantum spacetime
• Relativistic kinematics beyond Special Relativity
• Noncommutative Spaces and Poincaré Symmetry
• Beyond Special Relativity at second order
• Does a deformation of special relativity imply energy dependent photon time delays?
• Multi-particle systems in $\kappa$-Poincaré inspired by 2+1D gravity

Cited by in corpus (8)

• Interplay between spacetime curvature, speed of light and quantum deformations of relativistic symmetries
• Planck-scale-deformed relativistic symmetries and diffeomorphisms in momentum space
• Geometry of multi-particle systems with a relativistic deformed kinematics and the relative locality principle
• Observers and their notion of spacetime beyond special relativity
• $\kappa$-deformed phase spaces, Jordanian twists, Lorentz-Weyl algebra and dispersion relations
• Relativistic deformed kinematics from locality conditions in a generalized spacetime
• Time delays, choice of energy-momentum variables and relative locality in doubly special relativity
• Twin Peaks: A possible signal in the production of resonances beyond special relativity