LFIS–19: Light Frame Infrastructure Series — Angular Burden and Dipole Matching Constraint: Volume 19

LFIS–19 records the first non-monopole specialization admitted by the representability constraints of Light Frame Cadence Theory. This volume formalizes dipole representability as a distinct constraint-level regime characterized by angular burden and directional matching requirements. Dipole admissibility does not introduce sources, fields, or dynamics; it specifies the minimal angular structure under which joint representational closure remains admissible beyond the monopole case. The paper defines the minimal angular burden required for dipole closure, establishes the canonical 1 / r³ scaling associated with directional closure modes, and records the corresponding specialization of representational obligation. These results arise solely from finite representability and matching constraints and do not rely on force laws, field equations, or multipole dynamics. All statements in LFIS–19 are given strictly at the level of structural constraints. No physical source terms, transport mechanisms, energetic processes, or interpretive field models are introduced. The volume does not extend the theory; it classifies the next admissible level of angular structure once monopole closure is exhausted. LFIS–19 completes the representational closure hierarchy within the Light Frame Infrastructure Series by establishing the canonical dipole regime and its matching constraints.