Brane World Confronts Holography

Abstract

Holography principle imposes a stringent constraint on the scale of quantum gravity $M_{\ast }$ in brane-world scenarios, where all matter is confined on the brane. The thermodynamic entropy of astrophysical black holes and sub-horizon volumes during big bang nucleosynthesis exceed the relevant bounds unless $M_{\ast }>10^{(4-6)}$ TeV, so a hierarchy relative to the weak scale is unavoidable. We discuss the implications for extra dimensions as well as holography.

5 pages, 5 figures, revtex 4, Talk by DKH at 2nd International Conference on Flavor Physics (ICFP 2003), Seoul, Korea, 6-11 Oct 2003