IPS-E — Demand-Driven Capillary Growth in Large-Scale AME

The AME Internal Plumbing System grows its capillary network through demand-driven engineering angiogenesis. Every AMW repair mission simultaneously extends the IPS, deposits a DFOS sensor node, and adds a graph edge to the network topology (transit dominance). A demand priority metric directs growth toward high-strain, under-served zones. Murray's Law compliance is achieved through parallelism: N parallel 5 mm capillaries provide the flow-equivalent of a single vessel of diameter d_eff = 5·N^(1/3) mm, and Hebbian redundancy drives parallel growth at frequently used paths. Four convergence theorems from the Hexalogy guarantee monotone graph growth, monotone MTTR improvement, monotone reachability, and Hebbian redundancy accumulation — without any machine-learning component. Over 1000 missions, the capillary network converges from three pre-installed highways to a fractal space-filling topology occupying less than 0.002% of structural volume, with MTTR approximately halved. This paper formalises demand-driven vascular growth logic for civil infrastructure and shows that a permanently water-filled matrix can implement biological growth principles through agent transit, sensor deployment, and graph accumulation rather than cellular remodelling.