This paper asks whether admissibility, once qualified as a formal candidate, can remain legible under geometric pressure without collapsing either backward into graph language or forward into premature geometry. Its task is not to derive geometry, but to determine whether geometric pressure forces any minimal intermediate residue into structural visibility. The paper introduces admissibility-bearing adjacency only in this restricted sense: not as a metric structure, quasi-geometric field, or secured bridge toward physics, but as the weakest relational residue that may become structurally visible once local burden begins to differentiate prior to metric completion. It then subjects that residue to prototype geometric burdens and second-order rejection clauses, asking whether anything genuinely intermediate remains visible beyond neutral connectivity, metaphorical pressure language, and illicit geometric anticipation. The result, if any, remains narrow. What is secured is not geometry or physical realization, but the first positively carryable claim that admissibility may become structurally articulate beyond exclusion alone while still remaining weaker than geometry proper.
Zhaoxun Yun (Thu,) studied this question.