CHAMBER QM-I v1.0.3 — Spectral Admissibility Geometry

LAYER 0 · DATA INPUT

DATASET A SPECTRUM · AUTHORITATIVE

DATASET A — (XXXX)_spectrum_QM1.csv

No file loaded

schema: index, energy_cm-1

DATASET B GAP STRUCTURE · VALIDATION AID

DATASET B — (XXXX)_gap_structure_QM1.csv

No file loaded

schema: index, energy_cm-1, gap_cm-1

DATASET C PREPROCESSED · VALIDATION AID

DATASET C — (XXXX)_QM1_preprocessed.csv

No file loaded

schema: index, energy_cm-1, raw_gap_cm-1, normalized_gap, scale

LAYER 1 · ANALYSIS CONTROLS

THRESHOLD & TOLERANCE CONFIGURATION

NORMALIZATION FIXED

range = λ_max − λ₂
(ground-state gap excluded · clamped ≤ 1)

GAP VIEW

MACRO THRESHOLD (norm_gap >)

MESO UPPER (norm_gap ≤)

MESO LOWER (norm_gap ≥)

ε_EXACT (degeneracy)

ε_NEAR (near-degen)

CLASSIFICATION SOURCE

GAP CONVENTION

α REGIME FILTER (macro must be ≥ prev × α)

LAYER 2 · STRUCTURAL DIAGNOSTICS

EIGENVALUES

—

total levels

GAPS COMPUTED

—

n−1 consecutive

MACRO GAPS

—

regime boundaries

MESO GAPS

—

subshell transitions

MICRO GAPS

—

fine structure

REGIMES

—

principal shells

VULN NODES

—

adjacent to micro

ν(V)

—

max indep set

EXACT DEGEN

—

|Δ| ≤ ε_exact

NEAR-DEGEN

—

|Δ| ≤ ε_near

SPAN (cm⁻¹)

—

λ_max − λ_min

LOG₁₀ SPAN

—

decades

PREC TRUNC

—

const-gap gaps

ACTIVE CONFIGURATION LOCKED AT RUN TIME · CITE THIS IN MANUSCRIPT

Run analysis to display locked configuration.

LAYER 3 · SPECTRAL VISUALIZATIONS

SPECTRAL LADDER energy vs index

GAP SIZE DISTRIBUTION histogram · log₁₀

LOG₁₀ GAP PROFILE gap magnitude per index

NORMALIZED GAP PROFILE classified by scale

LAYER 4 · ADMISSIBILITY GRAPH

ADMISSIBILITY GRAPH G = (λᵢ, gapᵢ) NODES: energy levels · EDGES: colored by scale · PURPLE: vulnerability nodes

MACRO MESO MICRO VULNERABILITY NODE DEGENERATE

DEGENERACY & NEAR-DEGENERACY CLUSTERS

No data yet.

VULNERABILITY SET V ν(V) = max independent set

No data yet.

LAYER 5 · PHASE STRUCTURE

SPECTRAL REGIME MAP partitioned by macro gaps

REGIME SUMMARY

No data yet.

CLUSTER DENSITY METRICS

No data yet.

STRUCTURAL PHASE PANEL

No data yet.

LAYER 6 · RECOMPUTED vs UPLOADED VALIDATION

GAP TABLE — RECOMPUTED vs DATASET B/C ORANGE = mismatch beyond tolerance · YELLOW = scale class disagrees

idx	λᵢ (cm⁻¹)	gap RECOMP	gap UPLOAD (B)	Δgap	norm RECOMP	norm UPLOAD (C)	scale RECOMP	scale UPLOAD (C)

LAYER 7 · EXPORT

EXPORT CHAMBER STATE REPRODUCIBLE RUN · JSON INCLUDES ALL CONFIGURATION

Future QM-II compatibility: engine accepts extended schema p, lambda1, lambda2, ..., lambdaN — spectral graph core is preserved; perturbation sweep layer added above.

DIAGNOSTIC LOG