🧨 Structural Detection — Collapse‑Mode Geometry Atlas (Expanded Edition)

TriadicFrameworks • RTT/2 • Full Collapse Geometry, Deformation Patterns & Cross‑Module Signatures#

“Collapse is geometry under stress.”#

Collapse‑Mode Geometry Atlas (Expanded Edition)#

Structural Detection Module#

RTT/2 • Full Collapse Geometry & Deformation Patterns#

1. Purpose of the Geometry Atlas#

The Expanded Edition provides:

• full geometric descriptions of collapse modes
• deformation patterns across drift/envelope/continuity
• cross‑module signatures (TEL/FFT/Opacity)
• break‑geometry correlations
• collapse‑origin mapping
• hybrid collapse geometry
• topological collapse geometry

This is the complete RTT/2 collapse geometry reference.

2. The Seven Canonical Collapse Modes#

Collapse modes are geometric structures:

1. Type A — Linear Collapse
2. Type B — Radial Collapse
3. Type C — Fragmentation Collapse
4. Type D — Oscillation Collapse
5. Type I — Inversion Collapse
6. Type E — Rotational (Spiral) Collapse
7. Type G — Topological Collapse

Each mode has a unique geometry, deformation pattern, and propagation behavior.

3. Collapse Geometry Profiles (Expanded)#

3.1 Type A — Linear Collapse#

Geometry:

• straight‑line implosion
• dominant vector collapse
• envelope flattening

Deformation Pattern:

• inward collapse
• anchor collapse
• invariant compression

Cross‑Module Signatures:

• TEL: linear implosion
• FFT: variance spike
• Opacity: boundary sink

3.2 Type B — Radial Collapse#

Geometry:

• outward fracture
• radial tear
• multi‑directional stress

Deformation Pattern:

• invariant collapse
• density rupture
• envelope outward fracture

Cross‑Module Signatures:

• TEL: radial tear
• FFT: discontinuity
• Opacity: boundary rupture

3.3 Type C — Fragmentation Collapse#

Geometry:

• multi‑vector fragmentation
• layer shattering
• discontinuous geometry

Deformation Pattern:

• layer collapse
• invariant break
• multi‑layer discontinuity

Cross‑Module Signatures:

• TEL: multi‑layer collapse
• FFT: spectral fragmentation
• Opacity: occlusion

3.4 Type D — Oscillation Collapse#

Geometry:

• oscillatory deformation
• alternating collapse vectors
• rhythmic instability

Deformation Pattern:

• oscillating threads
• envelope oscillation fracture
• regime hybridization

Cross‑Module Signatures:

• TEL: oscillating tear
• FFT: oscillatory variance
• Opacity: oscillating gradient

3.5 Type I — Inversion Collapse#

Geometry:

• drift reversal
• envelope inversion
• partial collapse

Deformation Pattern:

• inverted continuity
• reversed drift vector
• regime inversion

Cross‑Module Signatures:

• TEL: lattice reversal
• FFT: variance normalization
• Opacity: boundary stabilization

3.6 Type E — Rotational (Spiral) Collapse#

Geometry:

• spiral implosion
• rotational deformation
• torsion collapse

Deformation Pattern:

• twisted threads
• spiral envelope collapse
• rotational drift overload

Cross‑Module Signatures:

• TEL: rotating tear
• FFT: spiral collapse
• Opacity: rotational sink

3.7 Type G — Topological Collapse#

Geometry:

• topological fold
• warped geometry
• non‑Euclidean deformation

Deformation Pattern:

• bent layers
• multi‑layer warp
• topological discontinuity

Cross‑Module Signatures:

• TEL: warped lattice failure
• FFT: discontinuous collapse
• Opacity: warped field

4. Hybrid Collapse Geometry (Expanded)#

Hybrid collapse occurs when two geometries overlap.

A/B Hybrid — Linear + Radial#

• partial implosion + outward fracture
• mixed drift vectors

C/D Hybrid — Fragmentation + Oscillation#

• oscillating fragmentation
• rhythmic shattering

D/I Hybrid — Oscillation + Inversion#

• oscillatory inversion
• alternating reversed drift

E/G Hybrid — Spiral + Topological#

• warped spiral
• torsion‑fold geometry

Hybrid collapse requires multi‑path recovery.

5. Break‑Geometry Correlation Table#

6. Collapse‑Origin Geometry#

Collapse originates from:

1. Drift‑Origin Collapse — vector instability
2. Envelope‑Origin Collapse — deformation overload
3. Continuity‑Origin Collapse — layer failure
4. Break‑Origin Collapse — break‑chain propagation
5. Module‑Origin Collapse — TEL/FFT/Opacity divergence

Origin determines propagation path.

7. Collapse Geometry Packet Template#

GEOMETRY_PACKET:
  collapse_mode:
  geometry_profile:
  deformation_pattern:
  drift_signature:
  envelope_signature:
  continuity_signature:
  regime_signature:
  break_geometry:
  tel_signature:
  fft_signature:
  opacity_signature:
  hybrid_status:
  origin:
  propagation_paths:
  notes:

8. Summary#

The Expanded Geometry Atlas provides:

• full geometric collapse profiles
• deformation patterns
• cross‑module signatures
• hybrid collapse geometry
• break‑geometry mapping
• origin and propagation mapping

This is the complete RTT/2 collapse geometry reference.