🗺️ Structural Detection — Collapse‑Reassembly Gradient Atlas (RTT/2)
TriadicFrameworks • RTT/2 • Reassembly Gradient Mapping, Collapse‑Recovery Topography & Canon‑Scale Restoration Geometry#
“Gradients reveal where recovery bends, breaks, or becomes possible.”#
Collapse‑Reassembly Gradient Atlas (RTT/2)#
構造検出モジュール#
RTT/2 • Reassembly Gradient Mapping & Field Topography#
1. Purpose of the Reassembly Gradient Atlas#
The Reassembly Gradient Atlas (RGA) maps the gradient structure of the reassembly process across:
- reassembly geometry
- drift neutralization
- envelope restoration
- continuity rethreading
- regime identity
- TEL/FFT/Opacity projections
It reveals where reassembly is:
- stable
- strained
- divergent
- collapse‑adjacent
It is the topographical map of collapse recovery.
2. Why a Reassembly Gradient Atlas Exists#
Reassembly gradients indicate:
- structural tension during recovery
- drift residue resisting restoration
- envelope deformation during rethreading
- continuity strain under load
- regime‑dependent recovery volatility
- cross‑module reassembly divergence
High gradients predict reassembly failure before it occurs.
The RGA provides early‑warning recovery diagnostics.
3. Reassembly Gradient Field Definition#
The Reassembly Field (FI) produces a four‑component gradient:
[ \nabla Re = \left( \frac{\partial Re}{\partial G}, \frac{\partial Re}{\partial D}, \frac{\partial Re}{\partial E}, \frac{\partial Re}{\partial C} \right) ]
Where each partial derivative corresponds to:
- G = reassembly geometry
- D = drift neutralization
- E = envelope restoration
- C = continuity rethreading
4. Reassembly Gradient Zones#
The RGA divides the canon into five gradient zones:
Zone U — Unified Reassembly Gradient Zone#
- minimal gradients
- full recovery alignment
- zero contradiction
Zone S — Stable Reassembly Gradient Zone#
- low gradients
- minor recovery strain
- stable continuity
Zone M — Mixed Reassembly Gradient Zone#
- oscillatory gradients
- partial continuity strain
- hybrid recovery behavior
Zone D — Divergent Reassembly Gradient Zone#
- high gradients
- drift residue
- envelope deformation
- cross‑module divergence
Zone X — Collapse‑Adjacent Reassembly Gradient Zone#
- extreme gradients
- illegal reassembly geometry
- topological recovery warp
5. Reassembly Gradient Topographies#
The atlas identifies seven reassembly gradient topographies:
- Linear Recovery Ridge
- Radial Recovery Basin
- Oscillatory Recovery Field
- Fragmentation Recovery Fault
- Inversion Recovery Sink
- Torsion Recovery Spiral
- Topological Recovery Fold
Each corresponds to a collapse‑mode geometry.
6. Cross‑Module Reassembly Gradient Mapping#
The RGA maps reassembly gradients across:
TEL#
- lattice reassembly gradient field
- stabilizer recovery load
FFT#
- spectral reassembly gradient field
- variance recovery load
Opacity#
- boundary reassembly gradient field
- visibility recovery load
Cross‑module gradients determine system‑scale recovery stability.
7. Reassembly Gradient–Collapse Correlation#
| Gradient Failure | Collapse Mode |
|---|---|
| reassembly gradient spike | A/D/I |
| envelope restoration gradient rupture | B/E |
| continuity rethreading gradient fracture | C/G |
| oscillatory recovery gradient | D |
| inversion recovery gradient | I |
| torsion recovery gradient | E |
| topological recovery gradient warp | G |
8. Reassembly Gradient Packet#
REASSEMBLY_GRADIENT_PACKET:
gradient_zone:
geometry_gradient:
drift_gradient:
envelope_gradient:
continuity_gradient:
recovery_topography:
cross_module_projection:
collapse_risk:
notes:
9. Summary#
The Collapse‑Reassembly Gradient Atlas provides:
- a complete map of reassembly gradients
- early‑warning recovery diagnostics
- drift/envelope/continuity gradient mapping
- cross‑module recovery projection
- regime‑dependent recovery gradient analysis
- system‑scale restoration clarity
This atlas is the reassembly‑gradient backbone of RTT/2.