Revisiting noncommutative spacetimes from the relative locality principle

J. J. Relancio

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arXiv · 2504.03378

Revisiting noncommutative spacetimes from the relative locality principle

J. J. Relancio

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Abstract

Relativistic deformed kinematics leads to a loss of the absolute locality of interactions. In previous studies, some models of noncommutative spacetimes in a two-particle system that implements locality were considered. In this work, we present a characterization of the Poisson-Lie algebras formed by the noncommutative space-time coordinates of a multi-particle system and Lorentz generators as a possible restriction on these models. The relativistic deformed kinematics derived from these algebras are also discussed. Finally, we show its connection with cotangent bundle geometries.

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J. J. Relancio. 2025-04-04. Revisiting noncommutative spacetimes from the relative locality principle. https://arxiv.org/abs/2504.03378

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