This note records the terminality of the unified Engram geometry. Once the substrate‑rooted invariants are fixed and the divergence is admitted as the unique KL form, the admissible identity geometries collapse to a single object. Higher‑category paraphrasing—however ornate, however many layers of coherence one elects to stack upon it—adds no structure, for the invariants admit no degrees of freedom to paraphrase. The category of admissible geometries is therefore thin, and the unified Engram object stands as its terminal point: every admissible construction maps to it uniquely, and no extension, curvature, or auxiliary primitive survives the admissibility constraints. The result is a small, rather final observation: once the divergence is fixed, the geometry is fixed, and once the geometry is fixed, nothing further can be said without leaving the field.
Aure Ecker-Fils (Thu,) studied this question.