IPS-B — The AME IPS as Biomimetic Cardiovascular Architecture

The Internal Plumbing System (IPS) of the Adaptive Matrix Ecosystem is specified as a biomimetic cardiovascular architecture. The correspondence between the IPS and the human cardiovascular system is functional, not metaphorical: both systems distribute pressurised flow through fluid-saturated elastic media, and both are governed by Murray's Law for optimal vessel sizing. Applying Murray's Law to the IPS yields a 10-generation diameter hierarchy from 50 mm arterial highways to 5 mm AMW-deployed capillaries, with a bifurcation ratio of 0.794 at each branching point. The apex-mounted pump operates at 29.4 W for a 15-metre levee-scale structure — less than a domestic light bulb — maintaining vessel patency continuously against the cracking pressure field derived in the companion paper (Paper A). The pre-installed IPS occupies 0.005% of structural volume, three orders of magnitude below the human circulatory system's 7% of body mass, because the AME's structural medium is also its circulatory fluid. A scale dependency analysis establishes a threshold at approximately 5 m structural height: below this, gravity fill is sufficient; above, full cardiovascular architecture including apex pump is structurally necessary. The generalised Murray's Law for elliptical cross-sections is applied to partially inflated IPS highways operating in State 3.