2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/21518We study the density response of the four-dimensional quantum Hall fluid found by Zhang and Hu, which has been advanced as a model of emergent relativity. We calculate the density-density correlation function along the edge at half-filling, and show that it is similar to the three-dimensional free electron gas. This indicates that the edge of the four-dimensional quantum Hall fluid behaves like a metal.4 pages, 5 eps figuresCondensed MatterMetallic Nature of the Four-Dimensional Quantum Hall Edgetext