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arxiv: hep-th/0307174 · v1 · submitted 2003-07-18 · ✦ hep-th · gr-qc· quant-ph

Generalized Uncertainty Principle, Extra-dimensions and Holography

classification ✦ hep-th gr-qcquant-ph
keywords dimensionsuncertaintyextrageneralizedgivenholographicprinciplesspatial
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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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