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arXiv · hep-ph/0308290

Holography, Entropy and Extra Dimensions

Deog Ki Hong·Stephen D. H. Hsu
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Abstract

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.

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Deog Ki Hong, Stephen D. H. Hsu. 2004-04-30. Holography, Entropy and Extra Dimensions. https://doi.org/10.1016/j.physletb.2004.04.044

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