{ "id": "hep-ph/0308290", "version": "v3", "published": "2003-08-29T19:37:02.000Z", "updated": "2004-04-30T01:10:52.000Z", "title": "Holography, Entropy and Extra Dimensions", "authors": [ "Deog Ki Hong", "Stephen D. H. Hsu" ], "comment": "9 pages, LaTeX; Clarified use of covariant bound and corrected geometry of ADD black holes. Main conclusions unchanged. To appear in PLB", "journal": "Phys.Lett. B591 (2004) 208-212", "doi": "10.1016/j.physletb.2004.04.044", "categories": [ "hep-ph", "gr-qc", "hep-th" ], "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.", "revisions": [ { "version": "v3", "updated": "2004-04-30T01:10:52.000Z" } ], "analyses": { "keywords": [ "extra dimensions", "holography", "black hole entropy", "higher dimensional models", "weak scale" ], "tags": [ "journal article" ], "note": { "typesetting": "LaTeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable", "inspire": 627375 } } }