Rate-Matched Wave and Classical Transport on Connectome Motifs: Topology Dominates Selectivity While ENAQT Remains Wave-Specific

Preprint with supplementary materials. Whether wave-like transport confers a functional advantage on brain connectomes remains unresolved. We benchmarked GKSL (wave-like) against Arrhenius (classical) transport on Drosophila and human connectome motifs. After correcting a 131–164× rate-scale mismatch, the classical advantage collapsed to the near-diffusive limit. However, a wave-specific ENAQT inverted-U signature survived in 8/8 human motifs vs 0/8 for matched classical transport. These results revise the CRN (Connectome Routing Networks) framework: topology and readout architecture dominate selectivity, while wave dynamics contribute a distinctive structural signature rather than generic performance supremacy.