LFIS–18: Canonical Mathematical Forms for Representability Constraints

LFIS–18 records the canonical mathematical forms used across the representability-constraint portion of the Light Frame Infrastructure Series. The volume serves as a forms registry rather than a new derivation paper, collecting the signed allocation coordinate, demand monotonicity, terminal yield condition, closure-mode radial scaling, flux-channel scaling, routing/completion shorthand, and inward/outward symmetry form. Several entries are imported registry forms derived elsewhere, principally in LFIS–24 and LFIS–35; others are locally proved, including the canonical closure-mode scaling Φℓ(r) ∼ r−(ℓ+2) and the flux-channel scaling Φflux(r) ∼ 1/r. The volume also distinguishes closure-channel behavior from non-closure/flux-channel behavior. LFIS–18 supplies the mathematical notation and citation-ready registry forms used by later LFIS volumes on dipole matching, routing boundaries, terminal representability, and closure-mode structure.