Unequal capacitance separated seven steady-ambiguous input pairs in two partial adult worm circuit models

We tested whether exact steady input ambiguity persists over time in passive electrical models of two partial adult C. elegans maps. An audit of 10,440 and 10,731 source pairs found three and four exact twin pairs. Each pair had equal weighted links to all cells outside the pair. With uniform positive leak and equal capacitance, the pairs gave zero remote transfer differences. Increasing one source capacitance by 1, 10 or 50 percent gave nonzero differences at nonzero frequencies for all seven pairs, while steady differences stayed zero. At 10 percent mismatch, sampled peak distances ranged from 0.01140 to 0.03619 in map 7 and 0.01945 to 0.05602 in map 8, in model units. Known graph symmetry theory explains the result. Independent direct solves and synthetic graph tests check the calculation. Incomplete annotations, assumed parameters, absent chemical signaling and unmeasured noise prevent a biological discrimination claim. No activity data were tested. Original code, aggregate evidence, source hashes and retrieval steps support reproduction; external records stay outside the bundle.

electrical connectome · input discrimination · capacitance · graph twins · observability · passive circuit · C. elegans