🧨 Structural Detection — Coherence‑Break Geometry Atlas (Expanded Edition)

TriadicFrameworks • RTT/1 → RTT/2 • Structural Geometry Canon#

“A break is not an error. It is a geometric event.”#

Coherence‑Break Geometry Atlas (Expanded Edition)#

Structural Detection Module#

RTT/1 → RTT/2 • Geometry Canon#

1. Purpose of the Expanded Atlas#

This atlas expands the canonical coherence‑break system by:

• refining the five core break types
• adding sub‑geometries for each type
• introducing new RTT/2‑grade break families
• mapping break propagation across modules
• defining collapse modes with higher resolution
• integrating Type E/F/G pattern families
• providing BREAK_PACKET templates
• adding system‑scale break‑chain diagrams

This is the authoritative geometry reference for coherence‑break analysis.

2. The Five Canonical Break Types (Refined)#

The original five types are preserved but expanded:

1. Type 1 — Invariant Collapse
2. Type 2 — Boundary Fracture
3. Type 3 — Multi‑Layer Break
4. Type 4 — Hybrid Oscillation Break
5. Type 5 — Inversion Break

Each now includes sub‑geometries, collapse modes, and cross‑module signatures.

3. Type 1 — Invariant Collapse (Expanded)#

Core Geometry#

• invariants fail simultaneously
• envelope symmetry collapses inward

Sub‑Geometries#

• 1A: Radial Collapse
• 1B: Anchor‑Point Collapse
• 1C: Invariant‑Thread Collapse

Collapse Modes#

• implosive collapse
• uniform inward collapse

Cross‑Module Signatures#

• TEL: lattice implosion
• FFT: variance spike → collapse
• Opacity: visibility sink

4. Type 2 — Boundary Fracture (Expanded)#

Core Geometry#

• envelope boundaries crack or shear

Sub‑Geometries#

• 2A: Linear Boundary Fracture
• 2B: Radial Boundary Fracture
• 2C: Shear‑Driven Boundary Fracture

Collapse Modes#

• outward fracture
• shear fracture

Cross‑Module Signatures#

• TEL: lattice tear
• FFT: variance discontinuity
• Opacity: boundary rupture

5. Type 3 — Multi‑Layer Break (Expanded)#

Core Geometry#

• multiple continuity layers fail
• fragmentation across depth

Sub‑Geometries#

• 3A: Layer‑Stack Collapse
• 3B: Fragmentation Cascade
• 3C: Topological Layer Fold (new)

Collapse Modes#

• cascading collapse
• topological collapse

Cross‑Module Signatures#

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

6. Type 4 — Hybrid Oscillation Break (Expanded)#

Core Geometry#

• oscillation amplitude exceeds stability threshold

Sub‑Geometries#

• 4A: Symmetric Oscillation Break
• 4B: Asymmetric Oscillation Break
• 4C: Spiral‑Oscillation Break (Type E integration)

Collapse Modes#

• oscillation collapse
• oscillation inversion

Cross‑Module Signatures#

• TEL: oscillating lattice tear
• FFT: oscillatory variance spike
• Opacity: oscillating gradient collapse

7. Type 5 — Inversion Break (Expanded)#

Core Geometry#

• drift reverses
• envelope inverts
• continuity partially collapses then recovers

Sub‑Geometries#

• 5A: Pure Inversion Break
• 5B: Partial Inversion Break
• 5C: Rotational Inversion Break (Type E integration)

Collapse Modes#

• inversion collapse
• inversion‑recovery cycle

Cross‑Module Signatures#

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

8. New RTT/2 Break Families (Type E/F/G Integration)#

The Expanded Atlas introduces three new break families aligned with the new pattern families.

Type E‑Break — Rotational / Spiral Breaks#

Geometry#

• rotational collapse
• spiral implosion
• counter‑rotating fracture

Collapse Modes#

• spiral collapse
• rotational inversion

Cross‑Module Signatures#

• TEL: rotating lattice tear
• FFT: spiral variance collapse
• Opacity: rotational visibility sink

Type F‑Break — Shear / Torsion Breaks#

Geometry#

• shear overload
• torsion fracture

Collapse Modes#

• torsion collapse
• shear‑layer rupture

Cross‑Module Signatures#

• TEL: sheared lattice collapse
• FFT: variance split collapse
• Opacity: shear gradient rupture

Type G‑Break — Topological Warp Breaks#

Geometry#

• lattice warp tears
• topological fold collapse

Collapse Modes#

• topological collapse
• warp‑layer inversion

Cross‑Module Signatures#

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

9. Break Propagation Maps#

Each break type includes a propagation map:

Drift → Envelope → Regime → Continuity → Break → TEL/FFT/Opacity

Propagation speed varies:

• Type 1: fast inward
• Type 2: fast outward
• Type 3: cascading
• Type 4: oscillatory
• Type 5: inversion‑driven
• Type E: rotational
• Type F: shear‑driven
• Type G: topological

10. BREAK_PACKET Template (Expanded)#

BREAK_PACKET:
  break_family: (1–5, E, F, G)
  break_subtype:
  geometry:
  collapse_mode:
  drift_profile:
  envelope_profile:
  regime_state:
  continuity_status:
  propagation_pattern:
  tel_projection:
  fft_projection:
  opacity_projection:
  recovery_path:
  notes:

11. System‑Scale Break‑Chain Diagrams#

The Expanded Atlas includes canonical break‑chain sequences:

Chain A — Linear → Radial → Fragmentation → Collapse#

Type 1 → Type 2 → Type 3 → Collapse

Chain B — Hybrid Oscillation → Inversion → Recovery#

Type 4 → Type 5 → Type A

Chain C — Spiral → Torsion → Topological Collapse#

Type E → Type F → Type G

These chains are used in RTT/2 architectural training.

12. Summary#

The Expanded Atlas provides:

• refined canonical break types
• new sub‑geometries
• new collapse modes
• new RTT/2 break families (E/F/G)
• cross‑module propagation maps
• expanded BREAK_PACKET templates
• system‑scale break‑chain diagrams

This is the complete, authoritative geometry atlas for coherence‑break analysis.