2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/16827We show the inconsistency of the argument linking the integral quantum Hall effect to gauge invariance. The inconsistency mainly consists of equating gauge and real vector potential transformations for a particular system geometry. Correct handling gives no Hall quantization.4 pages, 2 figures, equations embeddedMesoscale and Nanoscale PhysicsExamining the Connection between Gauge Invariance and the Integral Quantum Hall Effecttext