Phys. Rev. D 49, 5182–5187 (1994)Quantum groups, gravity, and the generalized uncertainty principleReceived 28 May 1993; revised 3 November 1993; published in the issue dated 15 May 1994 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. © 1994 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.49.5182
DOI:
10.1103/PhysRevD.49.5182
PACS:
04.60.Ds, 02.10.-v
|
|
About | Terms and Conditions | Subscriptions | Search | Help
Use of the American Physical Society websites and journals implies that the user has read and agrees to our Terms and Conditions and any applicable Subscription Agreement. Physical Review®, Physical Review Letters®, Reviews of Modern Physics®, and Physical Review Special Topics® are trademarks of the American Physical Society.