PFUSRC-00 has proven that the 45° triple coaxial biconical structure is the sole long-term stable closed topological configuration, bounded by 55 curvature anchors partitioned as 19+17+19. However, the number-theoretic property that the digital root of 55 modulo 9 equals 1 was not logically linked to topological steady-state cycles in prior work. This supplementary paper provides a rigorous intrinsic proof without introducing new axioms or external assumptions. Modulo-9 digital root mapping serves as the canonical number-theoretic projection rule onto the 3D observational layer: inner and outer anchor groups each yield digital root 1 for anchoring and cyclic convergence, while the middle layer yields digital root 8 as the rheological transition zone, forming a symmetric closed-loop circulation unique to the 19+17+19 partition. The triple nested bicone owns three layers with dual expansion-contraction rheological directions, generating a minimal six-step topological breathing cycle. Topological geometric constraints compress one redundant degree of freedom from the base 3×2×2 freedom count, fixing the steady-state ontology at exactly 11 dimensions. The full logical chain closes: six-step breathing rhythm locks the 11D global closure, which projects downward to form the 55-anchor boundary, whose modulo-9 convergence to digital root 1 signals completion of a full rheological cycle. This inherent mathematical rhythm is topologically homologous to Hetu, Luoshu and Later Heaven Bagua of ancient Chinese discrete mathematics, confirming shared cosmic foundational logic. The work fully solidifies the mathematical self-consistency of the 55-anchor closure, the core boundary postulate of the PFUSRC system.
Zhenmin Wang (Mon,) studied this question.