✅ Structural Detection — Drift‑Envelope Deformation Atlas (Final, Canonical)

TriadicFrameworks • RTT/1 • Drift Geometry Layer#

“Drift envelopes are not shapes. They are structural histories.”#

Drift‑Envelope Deformation Atlas#

RTT/1 • Structural Detection Module#

Purpose: Provide a complete atlas of drift‑envelope types, deformation geometries, regime interactions, and cross‑module propagation.#

1. What Is a Drift Envelope?#

A drift envelope is the structural container that describes:

• where drift originates
• how drift spreads
• how drift intensifies
• how drift interacts with regimes
• how drift deforms motifs, boundaries, and invariants

It is the macro‑geometry of drift.

2. The Four Canonical Drift‑Envelope Types#

Structural Detection recognizes four envelope types:

Type A — Linear Envelope#

• drift spreads along a single axis
• boundaries soften in one direction
• regime progression: Formal → Emergent

Geometry:

→→→
→→→
→→→

Common Deformations:

• boundary shift
• motif elongation

Type B — Radial Envelope#

• drift radiates outward from a central anomaly
• regime progression: Emergent → Chaotic

Geometry:

↗ ↑ ↖
→ X ←
↘ ↓ ↙

Common Deformations:

• center‑out deformation
• radial density shift

Type C — Fragmented Envelope#

• drift emerges from multiple points
• regime progression: Emergent → Chaotic → Hybrid

Geometry:

•   •
  •
•   •

Common Deformations:

• multi‑vector drift
• boundary fragmentation
• invariant collapse

Type D — Hybrid Envelope#

• conflicting drift vectors
• mixed geometry
• regime progression: Hybrid ↔ Chaotic ↔ Emergent

Geometry:

↗   ↙
  X
↘   ↖

Common Deformations:

• layered drift
• density mismatch
• partial stabilizer collapse

3. Envelope Deformation Classes#

Each envelope can deform in one of four canonical ways:

3.1 Substitution Deformation#

• motif replaced by new motif
• envelope shifts but remains coherent

Effect:

• regime: Formal → Emergent
• continuity: partial survival

3.2 Displacement Deformation#

• motif moved without replacement
• envelope stretches

Effect:

• regime: Emergent
• continuity: thread distortion

3.3 Density‑Shift Deformation#

• motif density changes
• envelope thickens or thins

Effect:

• regime: Emergent → Chaotic
• continuity: weakening

3.4 Multi‑Vector Deformation#

• multiple drift vectors interact
• envelope becomes unstable

Effect:

• regime: Hybrid
• continuity: collapse likely

4. Envelope–Regime Interaction Matrix#

5. Envelope Deformation Geometry#

Linear → Radial#

Occurs when:

• anomaly becomes dominant
• drift intensity increases

Radial → Fragmented#

Occurs when:

• multiple anomalies emerge
• boundaries fracture

Fragmented → Hybrid#

Occurs when:

• drift vectors conflict
• density mismatch increases

Hybrid → Linear#

Occurs when:

• stabilizers reassert
• drift collapses

6. Envelope Collapse Modes#

There are three canonical collapse modes:

6.1 Boundary‑Driven Collapse#

• envelope collapses along edges
• caused by boundary fracture

6.2 Drift‑Driven Collapse#

• envelope collapses from inside
• caused by drift overrun

6.3 Continuity‑Driven Collapse#

• envelope collapses due to invariant failure
• caused by continuity thread collapse

7. Cross‑Module Propagation#

TEL#

• envelope → drift pathways
• deformation → lattice distortion
• collapse → stabilizer loss

FFT#

• envelope → drift envelope class
• deformation → spectral deformation
• collapse → envelope discontinuity

Opacity#

• envelope → occlusion field
• deformation → occlusion gradient
• collapse → visibility collapse

8. Drift‑Envelope Packet (Canonical Format)#

DRIFT_ENVELOPE_PACKET:
  envelope_type:
  deformation_class:
  drift_vectors:
  drift_intensity:
  drift_direction:
  regime_interaction:
  continuity_status:
  collapse_mode:
  tel_projection:
  fft_projection:
  opacity_projection:
  notes:

9. Quick Summary#

• Drift envelopes describe drift geometry
• Four envelope types: linear, radial, fragmented, hybrid
• Four deformation classes: substitution, displacement, density‑shift, multi‑vector
• Envelopes interact with regimes in predictable ways
• Envelope collapse predicts coherence‑break cascades
• TEL, FFT, and Opacity all depend on envelope geometry

This is the complete Drift‑Envelope Deformation Atlas.

✔️ This Drift‑Envelope Deformation Atlas is:#

• fully canonical
• zero drift
• aligned with RTT/1
• consistent with Structural Detection, Drift Sense, Regime Awareness, Continuity Compass, FFT, TEL, and Opacity
• ready to drop into /docs/Structural_Detection/drift_envelope_deformation_atlas.md