2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/207948We study the dimensionality manifested in the AdS/CFT correspondence. We show that the dimensionality as expressed by the high temperature behavior of a system has a holographic nature also at the quantum level. The emergence of the AdS black hole as a master field at high temperature leads to the screening of the extra dimensions in its excluded volume.15 pages, HarvmacHigh Energy Physics - Theorytext