CHAMBER STRUC-I Universal Ladder Admissibility — inv(p) ≤ ν(V(p)) IDLE MONTE CARLO DOMAIN-AGNOSTIC MULTI-LADDER v1.0.4 · UNNS Substrate Program
WHAT STRUC-I DOES

STRUC-I is a structural interrogation engine. It evaluates how ordered numerical structures respond to perturbations and tests whether their internal ordering remains admissible.

It operates on ordered ladders — sequences such as:

- Atomic energy levels
- Molecular spectra
- Nuclear transition schemes
- Gravitational harmonic fields
- Cosmological spectra
- Or any structured numeric dataset

The chamber is domain-agnostic. It operates on the geometry of ordering — not on the physical domain.

Prebuilt corpus packs are reference datasets — not limitations.
▶ GUIDE & CORPUS DOWNLOADS CLICK TO EXPAND
QUICK-START

1. Download one or more corpus ZIP files below and unzip.
2. In LAYER 0, drop up to 6 CSV files into the upload slots (auto-schema detection handles single-column and molecular formats).
3. Set MC RUNS (default 2000), κ STEPS (default 40), and optionally tag the DATASET FAMILY / CLASS.
4. Click ▶ RUN ANALYSIS. Progress is shown in the header tag.
5. Inspect LAYERS 1–5: gap diagnostics → vulnerability graph → Monte Carlo → admissibility profiles → regime classification.
6. Export full JSON results via EXPORT JSON for downstream manuscript or chamber-array use.

THEORY & MANUSCRIPT

STRUC-I evaluates the Universal Structural Law:
inv(Pε ; L) ≤ ν(Vε(L)) across preregistered ordered ladders. inv counts perturbation-induced rank inversions; ν is the maximum independent set of the vulnerability graph. No perturbation scale and no physical domain is excluded a priori — the chamber is a falsification engine.

Three regimes: ■ Geometric Persistence (ρ < 0.60, Aκ=1) · ■ Structural Boundary (ρ 0.60–1.0) · ■ Structural Instability (ρ > 1 or Aκ < 1).

↓ THE UNIVERSAL STRUCTURAL LAW — MANUSCRIPT (PDF)
STRUCTURAL LADDER CORPUS 14 DOMAIN PACKS · CSV FORMAT · UNZIP AND UPLOAD DIRECTLY
QM atoms.zip Atomic spectra incl. Zeeman-split ladders ↓ QM molecules.zip Molecular rovibrational spectra (6 molecules) ↓ NUC nuclei_level_data.zip Nuclear γ-level schemes (15 isotopes) ↓ CM condensed-matter_band_structures.zip Band gap, formation energy, density ladders ↓ GRAV earth_moon_mars.zip Planetary gravity harmonic fields ↓ ATM atmospheric_circulation.zip Atmospheric wind profile ladders ↓ SOL sun.zip Solar plasma activity records ↓ CMB cosmic_microwave_background.zip Planck 2018 CMB angular power spectra ↓ CW cosmic_web.zip Galaxy distributions (DESI / SDSS / 2MRS) ↓ GEO geodesy_struc_i_ladders.zip GNSS crustal displacement (NGL tenv3) ↓ GOE random_matrix_eigenvalue_corpus.zip GOE null baseline (n = 100 / 200 / 500) ↓ ADV adversarial_ladder_pack_2000pts.zip Gap-preserving H₂O surrogates · falsification pack ↓ ADV adversarial cluster ladder pack.zip Block-degenerate cluster attack · genuine violations ↓ DIAG WEAK LADDER STRUCTURAL DIAGNOSTICS.zip Near-boundary diagnostic ladders ↓
GEOMETRIC PERSISTENCE
ρ < 0.60 · Aκ = 1.000
Inversion pressure well inside budget. Hierarchically connected gap architecture.
99.7 % of all corpus evaluations.
STRUCTURAL BOUNDARY
0.60 ≤ ρ < 1.0 or Aκ slightly below 1
Near-threshold occupancy. Statistical boundary phase.
QM Zeeman (ρ̄ = 0.9585), Moon absS.
STRUCTURAL INSTABILITY
ρ > 1 or Aκ < 0.70
Inversion pressure exceeds vulnerability budget. Pre-percolation violation window.
Adversarial cluster ladders only.
LAYER 0 · DATA INPUT
LADDER INGESTION CSV UPLOAD · AUTO-SCHEMA DETECTION · UP TO 6 FILES
MAX LADDER SIZE
MC RUNS (M)
κ STEPS
κ MIN
κ MAX
DATASET FAMILY
DATASET CLASS
LADDER REGISTRY

# | NAME | SOURCE | DOMAIN | N (raw) | N (used) | SUBSAMPLED | MIN λ | MAX λ | INCLUDE
--- | --- | --- | --- | --- | --- | --- | --- | --- | ---

LAYER 1 · GAP DIAGNOSTICS
GAP STRUCTURE SELECT LADDER TO INSPECT
GAP SPECTRUM — LOG SCALE
GAP PERCENTILE PROFILE
LAYER 2 · VULNERABILITY STRUCTURE
ε-VULNERABILITY GRAPH · B_ε = {i : g_i ≤ 2ε} ΚAPPA SWEEP PREVIEW
κ PROBE
κ = 0.10
ν(V_ε) vs κ — VULNERABILITY BUDGET CURVE
VULNERABLE BOUNDARY MAP AT PROBE κ
LAYER 3 · MONTE CARLO EXECUTION
MC PERTURBATION ENGINE · δᵢ ~ Uniform[-ε, ε] PREREGISTERED PROTOCOL · FROZEN BEFORE EXECUTION
Ready. Load ladders and press RUN CHAMBER.
LAYER 4 · ADMISSIBILITY PROFILES
κ vs A_κ(L) — ADMISSIBILITY CURVES ALL LADDERS · A_κ = fraction of perturbations satisfying inv ≤ ν(V)
INVERSION BUDGET AT κ = 1.0
ν(V) ENVELOPES — ALL LADDERS
ADVANCED DIAGNOSTICS STRUCTURAL PRESSURE ρ = inv / ν · SECONDARY ANALYTIC — DOES NOT ALTER CORE CLASSIFICATION
κ vs ρ(κ) — STRUCTURAL PRESSURE CURVES · ρ→0 RELAXED · ρ→1 BOUNDARY
LAYER 5 · REGIME CLASSIFICATION
UNIVERSAL REGIME TAXONOMY GEOMETRIC PERSISTENCE · STRUCTURAL BOUNDARY · STRUCTURAL INSTABILITY
Geometric Persistence
Structural Boundary
Structural Instability
SUMMARY TABLE

LADDER | N | DOMAIN | MEAN Aκ | MIN Aκ | Aκ(κ=1.0) | MEAN ν(V) | MEAN ρ | PROXIMITY | REGIME | STATE
--- | --- | --- | --- | --- | --- | --- | --- | --- | --- | ---

LAYER 6 · EXPORT
JSON RESULT BUNDLE PREVIEWABLE · FULL EXPORT ON DOWNLOAD
// Run the chamber to populate export.