With free cell timing, a common nonnegative hop clock required a 0.664 s allowance for 369 fitted C. elegans kernels at a Laplace rate of 1 per second

We tested whether one common nonnegative time per anatomical hop can describe neural transfer timing after free input-cell and readout-cell terms. We used 369 selected WT C. elegans fitted kernels from a pinned signal atlas. The timing value was the weighted first kernel moment divided by its transform at a real Laplace rate of 1 per second. The main graph kept all 302 canonical neuron slots and all positive neuronal links in the White whole export. The smallest uniform timing allowance was 0.6639715 seconds. Twelve directions give a lower bound, and a complete saved correction attains it. Their signed time sum is 7.967658 seconds while their signed hop sum is minus two. Positive time per hop cannot repair this contrast after cell terms cancel. The planned least-squares test gave a slope of 0.04978 seconds per hop and 1.44% added in-sample variance. Its descriptive class-jackknife band crossed zero. Maximum-error bounds remained 0.56925 seconds with at least eight stored values and 0.49092 seconds under a stricter cancellation filter. Exact rational arithmetic and independent graph search checked the result. Full source and derived-data repeats matched the numerical files. The result limits a common hop clock for fixed pooled fitted functions. It does not reject general anatomical models or estimate biological delays or fit errors. Missing animal IDs and kernel-fit uncertainty limit interpretation. The package preserves code, new timing tables, graph facts, provenance, complete fits, certificates, figures and repeat instructions.

connectome · signal propagation · Caenorhabditis elegans · temporal filters · shortest paths · model check · kernel timing