Fuzzy worldlines with $\kappa$-Poincaré symmetries

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 $\kappa$-Poincaré model, analyzing the fuzzy properties of $\kappa$-deformed time-like worldlines and the resulting fuzziness of the reconstructed events.

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

References in corpus (5)

• The kappa-(A)dS quantum algebra in (3+1) dimensions
• The $\kappa$-(A)dS noncommutative spacetime
• Discreteness of area in noncommutative space
• Noncommutative spaces of worldlines
• Curved momentum spaces from quantum groups with cosmological constant

Cited by in corpus (1)

• Interplay between spacetime curvature, speed of light and quantum deformations of relativistic symmetries