Generalized Uncertainty Principle, Extra-dimensions and Holography

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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LaTeX, 13 pages, accepted for publication in Class. Quantum Grav

Scientific paper

10.1088/0264-9381/20/18/305

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.

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