Bridging high and low energies in search of quantum gravity - 2025 Cost Action CA23130 First Annual Conference

Revisiting noncommutative spacetimes from the relative locality principle

9 Jul 2025, 11:40

20m

Amphithéâtre Charpak (LPNHE)

Oral contribution WG1 High Energy QG Theory 3

Speaker

José Javier Relancio Martínez (University of Burgos)

Description

Relativistic deformed kinematics leads to a loss of the absolute locality of interactions. In previous studies, some models of noncommutative spacetimes in a two-particle system that implements locality were considered. In this talk, we present a characterization of the Poisson-Lie algebras formed by the noncommutative space-time coordinates of a multi-particle system and Lorentz generators as a possible restriction on these models. The relativistic deformed kinematics derived from these algebras are also discussed. Finally, we show its connection with cotangent bundle geometries.