LFIS–18: Light Frame Infrastructure Series — Canonical Mathematical Forms for Representability Constraints: Volume 18

LFIS–18 records the canonical mathematical forms associated with representability constraints in Light Frame Cadence Theory. This volume formalizes the mathematical expressions implied by finite representability, closure admissibility, routing conditions, and terminal limits. The forms collected here are not equations of motion and are not derived dynamically. They serve as structural representations of representational burden, gating thresholds, closure-mode scaling, and admissible non-closure channels. LFIS–18 specifies monotonic burden functions, gate limits distinguishing routing from completion, canonical radial scalings associated with closure modes, and flux-style forms used to summarize non-closure resolution. These expressions do not prescribe evolution or transport; they encode admissible structure once the constraint framework is fixed. All results are stated strictly at the constraint level. No assumptions are made about physical dynamics, time evolution, metric structure, or empirical fitting. No new principles are introduced. The volume does not extend the theory; it records the canonical mathematical realizations of constraints already shown to be complete. LFIS–18 therefore serves as the mathematical registry and priority anchor supporting representability closure within the Light Frame Infrastructure Series, complementing the conceptual registry in LFIS–17.