Transport bounds for cross state HCT electrolyte control

Connectivity is necessary for many composite electrolyte architectures, yet it does not determine transport through narrow contacts. We formulate a methodological benchmark for the cross-state axis of heterocrystalline chimeric technology (HCT), combining conductance bounds, activation-energy sensitivity and thermodynamically consistent reservoir exchange. A reference current field and a sequence of separating cuts bracket the contact aperture required to retain a prescribed conductance. Across 48 generated three-dimensional morphologies and 1,680 temperature–aperture states, every geometry passes a 0.90 bicontinuity criterion, while 720 states fail to retain half their reference conductance. At 300 K, the median half-retention aperture is 0.05616, between median necessary and sufficient bounds of 0.05051 and 0.05834. Fixed-geometry activation energies remain dissipation-weighted averages of local barriers. A separate exchange benchmark shows why a uniform chemical potential changes filling only when reservoir transfer is permitted. Public electrolyte data constrain the material interpretation. These results provide conditional design tests without assigning unmeasured interfacial chemistry or deposition kinetics.