Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2003-08-29
Phys.Lett. B591 (2004) 208-212
Physics
High Energy Physics
High Energy Physics - Phenomenology
9 pages, LaTeX; Clarified use of covariant bound and corrected geometry of ADD black holes. Main conclusions unchanged. To app
Scientific paper
10.1016/j.physletb.2004.04.044
We show that higher dimensional models (brane worlds) in which the scale of quantum gravity $M_*$ is much smaller than the apparent scale $M_P \sim 10^{19}$ GeV are in conflict with bounds arising from holography and black hole entropy. The thermodynamic entropy of astrophysical black holes and sub-horizon volumes during big bang nucleosynthesis exceed the relevant bounds unless $M_* > 10^{(4-6)}$ TeV, so a hierarchy relative to the weak scale is unavoidable. We discuss the implications for extra dimensions as well as holography.
Hong Deog Ki
Hsu Stephen D. H.
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