Quantum groups, gravity, and the generalized uncertainty principle
- 15 May 1994
- journal article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 49 (10), 5182-5187
- https://doi.org/10.1103/physrevd.49.5182
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 -deformed Poincaré algebra a minimal observable length emerges naturally.
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This publication has 1 reference indexed in Scilit:
- Non-commutative differential geometryPublications mathématiques de l'IHÉS, 1985