Generalized Uncertainty Principle, Extra-dimensions and Holography
High Energy Physics - Theory
2009-11-10 v1 General Relativity and Quantum Cosmology
Quantum Physics
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.
Cite
@article{arxiv.hep-th/0307174,
title = {Generalized Uncertainty Principle, Extra-dimensions and Holography},
author = {F. Scardigli and R. Casadio},
journal= {arXiv preprint arXiv:hep-th/0307174},
year = {2009}
}
Comments
LaTeX, 13 pages, accepted for publication in Class. Quantum Grav