Generalized uncertainty principle, extra dimensions and holography. (English) Zbl 1048.83009

Scardigli, Fabio; Casadio, Roberto

Classical Quantum Gravity 20, No. 18, 3915-3926 (2003).

Summary: 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.

MSC:

83C45	Quantization of the gravitational field
83C05	Einstein’s equations (general structure, canonical formalism, Cauchy problems)