LMX extends the field‑theoretic framework of LM05 by introducing the layer‑restriction operator and the hypostatic character function, providing a mechanism for interpreting abstract field quantities—Coherence Potential (Ic), Coherence Current (Jc), and the Source Term (S)—within the ontologically distinct contexts of the hypostatic layers L₅ through L₁ and their inverse counterparts. The document formalizes how mathematical fields on structural space acquire layer‑specific meaning, how membrane transfer induces character translation, how Non‑Fusion preserves essence across collective fields, and how entropic layers invert field character. LMX also connects LM05’s mathematical field theory to the ontological Field of Becoming (Φ₂), clarifies cross‑layer behavior, and outlines implications for diagnostics, including layer‑indexed Shimmer and Source connection. This is an exploratory extension bridging LM01’s ontology, LM03’s orientation algebra, and LM05’s field dynamics.