2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/18954The Boltzmann-Landau-Silin and Landauer-Buettiker-Imry theories of electron transport are shown to be mutually incompatible. The first respects microscopic gauge invariance, electron-hole symmetry, and the conserving sum rules for the correlated electron gas. The second approach does not. That is directly evident in its unphysical compressibility.19 pp, 5 ps figs. Text & layout revised; refs. addedMesoscale and Nanoscale PhysicsStrongly Correlated Electronstext