The Predomain Problem: Structural Primitive Architecture and the Necessary Conditions for Any Persistent Domain

The companion paper proved that no domain theory can non-circularly ground its own primitive set, identified three validity constraints that every grounding attempt presupposes without grounding, and specified the three conditions any valid predomain response must satisfy. The problem was left open. This paper proposes a candidate response. The central claim: persistence requires an admissibility condition. For any structure to persist rather than dissolve, distinguishability must exceed indistinguishability — H > K. A distinction must hold. H > K is not a named primitive. It does not answer "what is there?" It answers the prior question: what must hold for there to be a distinction at all? From that condition alone, a dependency-ordered chain of eight structural operators follows — each one the structural anatomy of what it means for a distinction to hold. The chain is not a design. It is what H > K contains analytically when you ask what distinction-holding consists in. Convergent structural evidence from Causal Dynamical Triangulations and Lyapunov stability theory is examined — not as proof, but as independent frameworks that arrived at the same shape without looking for it. Three explicit defeat conditions are stated. The question of whether this is the only valid predomain architecture is left open. The question of whether it is a valid one is not.