Transverse relative locality effects in de Sitter spacetime

TL;DR

This paper extends transverse relative locality models within curved de Sitter spacetime, analyzing how quantum gravity effects could influence particle behavior and observational phenomena in a cosmological context.

Contribution

It introduces the first generalization of transverse relative locality models in curved spacetime by deforming the de Sitter algebra in 2+1 dimensions and explores their phenomenological implications.

Findings

Deformation of the de Sitter algebra in 2+1 dimensions.

Implications for particle propagation in curved spacetime.

Potential observable effects of quantum gravity phenomenology.

Abstract

Doubly Special Relativity (DSR) models are characterized by the deformation of relativistic symmetries at the Planck scale and constitute one of the cornerstones for quantum gravity phenomenology research, due to the possibility of testing them with cosmological messengers. Some of their predictions manifest themselves as relative locality effects, implying that events local to an observer might not appear to be so for a distant one. In this work we focus on transverse relative locality models, where the delocalization occurs along the direction perpendicular to the one connecting two distant observers. We present the first generalization of these models in curved spacetime, constructing a transverse deformation of the de Sitter algebra in 2 + 1 D and investigating its phenomenological implications on particle propagation.