Generalized Uncertainty Principle, Extra-dimensions and Holography
arXiv:hep-th/0307174 · doi:10.1088/0264-9381/20/18/305
Abstract
We consider Uncertainty Principles which take into account the role of gravity and the possible existence of extra spatial dimensions. Explicit expressions for such Generalized Uncertainty Principles in 4+n dimensions are given and their holographic properties investigated. In particular, we show that the predicted number of degrees of freedom enclosed in a given spatial volume matches the holographic counting only for one of the available generalizations and without extra dimensions.
LaTeX, 13 pages, accepted for publication in Class. Quantum Grav