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A novel approach to study the properties of models with quantum-deformedrelativistic symmetries relies on a noncommutative space of worldlines ratherthan the usual noncommutative spacetime. In this setting, spacetime can bereconstructed as the set of events, that are identified as the crossing ofdifferent worldlines. We lay down the basis for this construction for the$\kappa$-Poincar\'e model, analyzing the fuzzy properties of $\kappa$-deformedtime-like worldlines and the resulting fuzziness of the reconstructed events.

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