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.
F. Scardigli, R. Casadio (2005). GENERALIZED UNCERTAINTY PRINCIPLE, EXTRA-DIMENSIONS AND HOLOGRAPHY [10.1590/S0103-97332005000300017].
GENERALIZED UNCERTAINTY PRINCIPLE, EXTRA-DIMENSIONS AND HOLOGRAPHY
CASADIO, ROBERTO
2005
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.File in questo prodotto:
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