English

Fuzzy worldlines with $\kappa$-Poincar\'e symmetries

High Energy Physics - Theory 2022-01-05 v2 General Relativity and Quantum Cosmology Mathematical Physics math.MP

Abstract

A novel approach to study the properties of models with quantum-deformed relativistic symmetries relies on a noncommutative space of worldlines rather than the usual noncommutative spacetime. In this setting, spacetime can be reconstructed as the set of events, that are identified as the crossing of different worldlines. We lay down the basis for this construction for the κ\kappa-Poincar\'e model, analyzing the fuzzy properties of κ\kappa-deformed time-like worldlines and the resulting fuzziness of the reconstructed events.

Keywords

Cite

@article{arxiv.2109.09699,
  title  = {Fuzzy worldlines with $\kappa$-Poincar\'e symmetries},
  author = {Angel Ballesteros and Giulia Gubitosi and Ivan Gutierrez-Sagredo and Flavio Mercati},
  journal= {arXiv preprint arXiv:2109.09699},
  year   = {2022}
}

Comments

26 pages, 8 figures, v2 matches version accepted by JHEP

R2 v1 2026-06-24T06:09:07.154Z