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arXiv · hep-th/9305163

Quantum Groups, Gravity, and the Generalized Uncertainty Principle

Michele Maggiore
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Abstract

We investigate the relationship between the generalized uncertainty principle in quantum gravity and the quantum deformation of the Poincaré algebra. We find that a deformed Newton-Wigner position operator and the generators of spatial translations and rotations of the deformed Poincaré algebra obey a deformed Heisenberg algebra from which the generalized uncertainty principle follows. The result indicates that in the $κ$-deformed Poincaré algebra a minimal observable length emerges naturally.

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Michele Maggiore. 1993-11-04. Quantum Groups, Gravity, and the Generalized Uncertainty Principle. https://doi.org/10.1103/physrevd.49.5182

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