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.
GENERALIZED UNCERTAINTY PRINCIPLE, EXTRA-DIMENSIONS AND HOLOGRAPHY / F. Scardigli; R. Casadio. - In: BRAZILIAN JOURNAL OF PHYSICS. - ISSN 0103-9733. - STAMPA. - 35:2B(2005), pp. 470-475. (Intervento presentato al convegno 2nd International Workshop on Decoherence, Information, Complexity and Entropy tenutosi a Piombino, ITALY nel SEP 01-04, 2004) [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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.