# UNNS Galaxy Structural Fingerprints v0.1

This is the canonical structural-atlas module within `UNNS_GALAXY_STRUCTURE_AND_VALIDATION_v0_3`.

The central object is

```
F_G(κ) = [ρ_G(κ), Aκ,G(κ), ν_G(κ)].
```

## Scientific position

The complete curves define **reproducible galaxy-specific structural fingerprints**.

They are:

- decisively separable across unchanged-ladder repeats;
- organized into a low-dimensional response atlas;
- physically informative;
- sensitive to sampling, radial coverage, and baryonic preparation;
- structurally richer than any single scalar verdict.

Representation sensitivity is a property of how the fingerprint is measured. It creates the next research layer: fingerprint normalization and transformation geometry.

## Gate B — fingerprint reproducibility

**PASS**

- 100% top-1 source retrieval;
- 100% top-5 source retrieval;
- median own/nearest-wrong distance ratio = 0.1179;
- median ICC across ρ PC1–PC3 = 0.99985;
- median top-five neighbour Jaccard = 1.000.

## Gate C — fingerprint transformation

The four registered perturbation branches all produced substantial fingerprint movement:

- leave-one-radius-out;
- deterministic n=10 thinning;
- fixed-count coverage control;
- mass-to-light sensitivity.

Gate C therefore establishes that the measured fingerprint includes a representation layer. It does not reverse Gate B or erase galaxy-specific identity.

## Structural atlas findings

- ρ and ν have compact dominant response families.
- Aκ carries more heterogeneous structure.
- Weak Persistence forms a pronounced response regime.
- Structural neighbours preserve conventional galaxy similarity.
- Physical and observational coordinates coexist in the atlas.
- Persistence, fragmentation, and connectivity are distinct.

## Main entry points

- `CURRENT_INTERPRETATION.md`
- `FOUNDATION_SYNTHESIS.md`
- `STATUS.md`
- `RESEARCH_SCOPE.md`
- `WORKFLOW.md`
- `analysis/curve_atlas/outputs/reports/CURVE_ATLAS_FOUNDATION_REPORT.md`
- `analysis/gal_fingerprint_i/outputs/reports/GAL_FINGERPRINT_I_GATE_B_REPORT.md`
- `analysis/gal_fingerprint_i/outputs/reports/GAL_FINGERPRINT_I_GATE_C_RESULT_RECORD.md`
- `outputs/reports/STRUCTURAL_RESPONSE_INTERPRETATION_v0_3.md`
