Localization and observers in $\varrho$-Minkowski spacetime

TL;DR

This paper explores the structure of $ ho$-Minkowski spacetime, focusing on its quantum symmetries and the implications for localization and observers within this noncommutative geometry.

Contribution

It introduces the $ ho$-Poincaré quantum group and analyzes how localization and observer concepts are modified in this noncommutative spacetime.

Findings

Identification of the $ ho$-Poincaré quantum group symmetry.

Analysis of localizability in $ ho$-Minkowski spacetime.

Insights into quantum observer concepts in noncommutative geometry.

Abstract

We consider the $\varrho$-Minkowski spacetime, a model with linear noncommutativity involving the time and the azimuthal angle. We study its quantum symmetries, the $\varrho$-Poincar\'e quantum group, and analyse the concepts of localizability and quantum observers.