# Structural-fingerprint research roadmap

## Phase 1 — manuscript assembly from the completed core

The current results already support the first manuscript draft.

Immediate tasks:

- freeze the central claims in `FINDINGS_REGISTER.md`;
- build the main atlas, Gate B, Gate C, persistence–connectivity, and transfer figures;
- write methods around the frozen 121-galaxy corpus;
- present Gate C as fingerprint transformation geometry;
- present the gravity bridge as an external transfer-architecture test.

## Phase 2 — sampling and coverage response surfaces

For each galaxy, generate controlled variants across:

- retained point count;
- radial coverage fraction;
- inner and outer deletion;
- gap-distribution matching;
- repeated random thinning;
- measurement-uncertainty realizations.

Report:

- full-curve distance;
- PCA displacement;
- nearest-neighbour retention;
- state/verdict changes;
- descriptor drift.

This phase will turn representation sensitivity into a quantitative transformation map.

## Phase 3 — regime-controlled atlas

Reconstruct atlas views for:

- Stable Structure;
- Weak Persistence;
- HARD_FRAGMENTATION;
- FULL_PERCOLATION;
- their principal intersections.

The purpose is to separate continuous fingerprint variation from discrete chamber-regime organization.

## Phase 4 — normalized structural coordinates

Develop descriptors conditioned on or residualized against:

- point count;
- dynamic range;
- median gap;
- gap variance;
- radial coverage;
- chamber regime.

Freeze the normalization before evaluating physical-property alignment and neighbour stability.

## Phase 5 — physical structural taxonomy

Use normalized coordinates to develop:

- structural analogues;
- anomaly classes;
- baryonic component-origin maps;
- surface-brightness and mass-scale sequences;
- persistence–connectivity structural families.

## Phase 6 — new transfer designs

The completed static global experiment remains an important boundary result. New transfer work should test genuinely different architectures:

- local ρ-transition alignment;
- within-galaxy change-point coincidence;
- regime-conditioned models;
- uncertainty-aware prospective validation;
- external-corpus prediction.

## Immediate project package

```
GAL-STRUCTURE-STABILITY-II
Fingerprint Transformation under Sampling, Coverage, and Uncertainty
```

This extension strengthens the manuscript while preserving the already established structural-fingerprint result.
