UNNS Admissibility-Realizability Pipeline

Chamber XIV-B · Parametric Admissibility · Non-Projecting Shell → Chamber XXXVII · Operator Composability · Admissibility-Realizability Gap

Admissibility Without Projection Ensemble Realizability Four-Class Taxonomy UNNS Research Collective (2026)

Chambers XIV-B and XXXVII together establish the empirical separation between admissibility and realizability within the UNNS substrate. Chamber XIV-B identifies a robust admissible shell—localized in μ, invariant under resolution refinement, robust under noise—that persistently refuses to project despite exhaustive parametric variation. Chamber XXXVII extends this finding to operator composition, revealing a four-class taxonomy: deterministic (τ), ensemble-realizable (σ), ensemble-futile (κ, φ), and inadmissible. The discovery that operators can preserve structure in measure (G₂ = 30%) while never providing compositional benefit (G◦ = 0%) demonstrates that "can compose" does not imply "should compose", establishing admissibility and realizability as fundamentally distinct concepts.

🔬 Integrated Admissibility & Realizability Analysis

Complete XIV-B→XXXVII pipeline · Parametric exhaustion · Ensemble taxonomy · Production-ready

Admissibility-Realizability Pipeline v1.0.0
CHAMBER XIV-B
Recursive Emergence Explorer
Systematically explores parametric space across five independent axes (μ scale control, Ω resolution, σ noise, λ operator strength, grid refinement) to isolate admissibility independently of projection. Identifies a robust non-projecting shell—μ-localized, resolution-invariant, noise-robust—where invariant criteria (Δ_scale, Π) are satisfied but no stable projection emerges. Exports Parametric Seeds containing configurations that are admissible under invariant gates yet persistently refuse to project, establishing that projection failure cannot be attributed to tuning choices or insufficient refinement. This demonstrates an empirical asymmetry: admissibility exists, realizability does not.
✓ v1.0.11 CERTIFIED
CHAMBER XXXVII
Operator Composability
Imports Parametric Seeds from XIV-B and tests operator composability across ~410 realizations, revealing a four-class taxonomy: (1) Deterministic (τ: G_τ=100%), (2) Ensemble-realizable (σ: G₂=75%, G◦=55%), (3) Ensemble-futile (κ, φ: G₂=30%, G◦=0%), (4) Inadmissible (none observed). The critical finding: operators κ and φ preserve structure in 30% of realizations but never provide compositional benefit, establishing the admissibility-realizability gap—that "can compose" ≠ "should compose". Ensemble behavior is the norm. Stress testing confirms invariance (Δ=0.000 for σ under 33% depth increase), proving these are structural properties of operator grammar, not parametric artifacts.
✓ v0.3.1 RG-BATCH-READY
Chamber XIV-B
Parametric exhaustion
Non-projecting shell
Admissible but unrealizable
→
Parametric Seed
UNNS-XIV-XXXVII
Invariants satisfied
No stable projection
→
Chamber XXXVII
Operator composition
Four-class taxonomy
Admissibility ≠ realizability

UNNS Research Collective | Admissibility-Realizability Pipeline Laboratory

Demonstrating the empirical separation between admissibility and realizability

Chamber XIV-B v1.0.11 (Non-Projecting Shell) | Chamber XXXVII v0.3.1 (Four-Class Taxonomy) | Certified: 2026-01-30

Discovery: Admissibility persists without projection (XIV-B) · Operators compose without benefit (κ, φ: G◦=0%)
Architecture: XIV-B exhausts parameters · XXXVII reveals ensemble classes (τ, σ, κ, φ)
Character: μ-localized shell, resolution-invariant, ensemble-realizable σ vs. ensemble-futile κ, φ
Status: ✓ Production-ready pipeline establishing admissibility ≠ realizability with ~410 validated realizations