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.
- Received 28 May 1993
DOI:https://doi.org/10.1103/PhysRevD.49.5182
©1994 American Physical Society