# UNNS Galaxy Structure and Validation v0.3

This package consolidates the completed galaxy structural-fingerprint programme, its multiscale atlas, its stability mapping, and its external gravity-transfer experiment.

## Core research position

The project establishes that galaxy baryonic-acceleration ladders generate **galaxy-specific multiscale structural fingerprints**.

These fingerprints are:

- highly reproducible across unchanged chamber executions;
- organized into a partly low-dimensional structural atlas;
- meaningfully aligned with conventional galaxy properties;
- sensitive to sampling, radial coverage, and baryonic preparation;
- separable into persistence, fragmentation, and connectivity dimensions;
- rich enough to preserve galaxy identity even when they do not improve one particular global prediction architecture.

The correct synthesis is therefore:

> **The structural fingerprints are real, organized, and physically informative. Their expression is representation-sensitive, and that sensitivity is itself part of the structure that the project has measured.**

## What Gate B established

Five unchanged-ladder STRUC-I executions produced exceptional source recovery and neighbour stability:

```
top-1 source retrieval                 1.000000
top-5 source retrieval                 1.000000
median own / nearest-wrong distance    0.117893
median ICC across ρ PC1–PC3            0.999849
median top-5 neighbour Jaccard          1.000000
```

The atlas is therefore not a product of native chamber randomness.

## What Gate C added

Gate C measured how the fingerprint changes when the measured ladder is altered by radius deletion, thinning, coverage control, or mass-to-light preparation.

None of the four branches retained the original source-identification thresholds. This does **not** erase the fingerprint. It establishes that the fingerprint is expressed through the observational representation and that its transformation under changed representation can be measured.

Gate C therefore converts a vague caveat into a concrete research object:

> **the sampling, coverage, and preparation response law of the galaxy fingerprint.**

## What the atlas shows

The response space has a clear internal architecture:

- the first three ρ components retain **90.8%** of variance;
- the first three ν components retain **88.5%**;
- Aκ is more heterogeneous, retaining **55.9%**;
- the combined atlas retains **61.0%** in three components;
- structural neighbours are more similar than random galaxy pairs across several conventional properties;
- Weak Persistence systems occupy a pronounced structural regime;
- stable persistence can coexist with hard fragmentation and without native-range full connectivity.

The atlas is best understood as a **multilayer structural coordinate system**. It simultaneously records galaxy organization, chamber regime, and the geometry through which the galaxy was observed.

## What the gravity-transfer experiment contributed

The static whole-galaxy gravity models did not outperform the simpler held-out baseline. That result identifies a limitation of the tested transfer architecture, not an absence of structural information.

The full-curve audit also showed that:

- correct galaxy-to-curve assignment beats shuffled assignment;
- ρ(κ) is the strongest transfer-sensitive channel;
- galaxy-level gains and losses are highly heterogeneous;
- local, transition-based, or regime-conditioned transfer remains a different and productive question.

## Package map

- `01_STRUCTURAL_ATLAS/` — the primary structural-fingerprint corpus, atlas, Gate B reproducibility, and Gate C sensitivity mapping.
- `02_TRANSFER_VALIDATION/` — the completed compact and full-curve external transfer experiment.
- `03_MANUSCRIPT_PREPARATION/` — manuscript claims, evidence, figures, and extension analyses.
- `90_LEGACY_FRAMING/` — historical pre-result documents, explicitly marked as non-canonical.

## Manuscript direction

The project is ready to support a manuscript centered on:

> **Multiscale Structural Fingerprints of Galaxy Rotation Curves: Reproducibility, Atlas Organization, Representation Sensitivity, and Transfer Structure**

The central finding is positive: a new structural object has been built and measured. The limitations define its geometry and next development stages; they do not replace the finding.
