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Quantum Groups, Gravity, and the Generalized Uncertainty Principle by Maggiore, Michele is a scholarly article available to read on EtoBox.

What is Quantum Groups, Gravity, and the Generalized Uncertainty Principle about?

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

Author

Maggiore, Michele

Published

1993

Language

EN