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arXiv · 2109.09699

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

Angel Ballesteros·Giulia Gubitosi·Ivan Gutierrez-Sagredo·Flavio Mercati
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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 $\kappa$-Poincar\'e model, analyzing the fuzzy properties of $\kappa$-deformed time-like worldlines and the resulting fuzziness of the reconstructed events.

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Angel Ballesteros, Giulia Gubitosi, Ivan Gutierrez-Sagredo, Flavio Mercati. 2021-09-20. Fuzzy worldlines with $\kappa$-Poincar\'e symmetries. https://doi.org/10.1007/jhep12(2021)080

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