Across all multi-phase materials, cell_volume, volume_per_atom, and volume_per_fu ladders accumulate higher mean ρ̄ than axial parameter ladders (a, b, c). In SiO₂, the c-axis is an exception — it carries the highest single-ladder pressure (ρ̄ = 0.499) — reflecting the pronounced axial anisotropy of the quartz→tridymite→cristobalite progression. In KNbO₃, only cell_volume crosses the Weak Persistence threshold (ρ̄ = 0.362), while all other channels remain Stable despite the same four-phase progression. This channel anisotropy is a systematic feature of condensed-matter admissibility, not noise.

The prior maximum mean ρ̄ in the physical STRUC-I corpus was Si_density at ρ̄ = 0.424. The SiO₂ c-axis ladder (ρ̄ = 0.499) and cell_volume ladder (ρ̄ = 0.476) both exceed this benchmark, entering Weak Persistence. This confirms that polymorph progressions involving substantial geometric reorganization — as in the quartz→tridymite→cristobalite sequence — can load structural pressure above any previously documented physical system, while remaining fully admissible. The SiO₂ result expands the known range of the admissibility map for ordered matter.

Every crystallographic phase chain and polymorph progression in the corpus — from a single-phase corundum control to a four-state perovskite ferroic chain to a geometrically extreme silica polymorph system — is admissible under the USL. All 48 ladders satisfy inv(Pε; L) ≤ ν(Vε(L)) at every κ-step, with minimum Aκ = 0.9835. The condensed matter domain is empirically non-falsified.

With n=1 phase, Al₂O₃ (corundum) yields ρ = 0 across all 6 descriptor ladders. There is no ordering to test — the single phase trivially satisfies the inequality. This is expected and confirms the chamber handles the degenerate case correctly. Al₂O₃ serves as the internal control validating the pipeline.

Both Fe (BCC↔FCC, metallic) and PbTiO₃ (cubic↔tetragonal, ferroic) show mean ρ̄ ≈ 0.008–0.009 across all descriptors. This is consistent with the expected behaviour of a 2-state system with a single gap: only one vulnerability window exists and inversion pressure remains minimal. These two materials are structurally the most relaxed non-degenerate cases in the corpus, bracketing the low end of the condensed-matter pressure range.

Among perovskite ferroic systems, structural pressure scales with both the number of phases and the geometric coherence of the progression. BaTiO₃ and KNbO₃ share the same 4-state phase sequence (rhombohedral→orthorhombic→tetragonal→cubic) but KNbO₃ loads substantially more pressure into volumetric descriptors, elevating cell_volume into Weak Persistence. This differential pressure loading between isostructural ferroics is a genuine structural finding — it quantifies the admissibility cost of the more anisotropic KNbO₃ lattice distortions.

TiO₂ (rutile/anatase/brookite, ρ̄ range 0.022–0.076) remains deeply relaxed. ZrO₂ (cubic/tetragonal/monoclinic, ρ̄ up to 0.192) shows moderate anisotropic loading. SiO₂ (quartz/tridymite/cristobalite, ρ̄ up to 0.499) loads four of six descriptor channels into Weak Persistence. The ordering reflects structural severity: TiO₂ polymorphs are all rutile-like frameworks with minimal reorganization; ZrO₂ involves a monoclinic distortion; SiO₂ polymorphs differ in framework topology (6-ring vs 4-ring tetrahedral networks), representing the most radical structural change in the corpus. The admissibility framework correctly ranks these by pressure.

The condensed matter corpus sits firmly within the admissible regime across its entire range. The overall ρ̄ span (factor ~55× from Fe to SiO₂_c) is wider than any prior physical domain in absolute terms. At the lower end, Fe and PbTiO₃ sit below the nuclear spectral minimum (ρ̄ = 0.103). At the upper end, SiO₂ exceeds the prior physical maximum and enters Weak Persistence — a regime previously occupied only by the biological deletion ladder (ρ̄ = 0.819) and the combined_del_single ladder (ρ̄ = 0.554). The condensed matter domain thus fills the structural pressure map between the relaxed physical regime and the biological deletion extreme.