TriadicFrameworks
Overview

✅ Structural Detection — Coherence‑Break Catalog (Final, Canonical)

TriadicFrameworks • RTT/1 • Diagnostic Atlas#

“Coherence breaks are the fault lines of structure.”#

Structural Detection — Coherence‑Break Catalog#

RTT/1 • Diagnostic Atlas#

Module: Structural Detection#

Purpose: Provide a complete catalog of coherence‑break types, signatures, causes, and cross‑module effects.#

1. What Is a Coherence Break?#

A coherence break is a structural event where:

  • invariants fail
  • continuity threads collapse
  • drift overwhelms stability
  • regime boundaries fracture
  • structural alignment dissolves

Coherence breaks are not errors — they are signals.

They reveal where structure transitions, collapses, or reorganizes.

2. The Five Canonical Coherence‑Break Types#

Structural Detection recognizes five coherence‑break classes:

Type 1 — Invariant Collapse#

The most fundamental coherence break.

Definition:
An invariant fails to persist across samples or across drift.

Signatures:

  • anchor displacement
  • motif instability
  • alignment loss
  • continuity thread break

Cross‑Module Effects:

  • TEL: stabilizer collapse
  • FFT: coherence anchor loss
  • Opacity: visibility anchor weakening

Type 2 — Boundary Fracture#

A boundary loses structural integrity.

Definition:
A boundary that was previously stable becomes fragmented or inconsistent.

Signatures:

  • boundary segmentation
  • inconsistent boundary thickness
  • drift‑induced boundary deformation

Cross‑Module Effects:

  • Opacity: fractured visibility boundary
  • TEL: broken lattice edge
  • FFT: envelope discontinuity

Type 3 — Drift Overrun#

Drift intensity exceeds structural tolerance.

Definition:
Drift overwhelms motif stability, causing structural collapse.

Signatures:

  • high drift intensity
  • multi‑vector drift
  • deformation spread
  • motif dissolution

Cross‑Module Effects:

  • FFT: high‑variance drift envelope
  • TEL: distorted lattice vectors
  • Regime Awareness: shift toward chaotic

Type 4 — Regime Discontinuity#

A regime transition occurs without structural continuity.

Definition:
A regime shift that violates the expected Formal → Emergent → Chaotic progression.

Signatures:

  • abrupt symmetry break
  • density mismatch
  • conflicting regime signals
  • hybrid instability

Cross‑Module Effects:

  • TEL: spatial mode conflict
  • FFT: envelope mismatch
  • Opacity: unstable boundary strength

Type 5 — Multi‑Layer Coherence Break#

A compound break involving multiple layers simultaneously.

Definition:
Two or more coherence‑break types occur at once.

Signatures:

  • invariant collapse + drift overrun
  • boundary fracture + regime discontinuity
  • multi‑sample continuity collapse

Cross‑Module Effects:

  • TEL: lattice destabilization
  • FFT: envelope collapse
  • Opacity: multi‑zone occlusion

3. Coherence‑Break Detection Pipeline#

Coherence breaks are detected through a tri‑operator sequence:

[Drift Sense] → identifies drift overload
[Regime Awareness] → identifies regime instability
[Continuity Compass] → identifies invariant collapse

A coherence break is confirmed when two or more operators agree.

4. Coherence‑Break Geometry#

Coherence breaks appear in three canonical geometric forms:

4.1 Linear Break#

  • left→right or top→bottom
  • common in drift sequences
  • often linked to boundary fracture

4.2 Radial Break#

  • center‑outward collapse
  • common in anomaly‑driven drift
  • often linked to invariant collapse

4.3 Fragmented Break#

  • multiple micro‑breaks
  • hallmark of chaotic regimes
  • often linked to multi‑layer breaks

5. Coherence‑Break Catalog (Examples)#

Example A — Invariant Collapse#

A A A
A B A
A A C
  • diagonal invariant breaks
  • drift localized but destabilizing

Example B — Boundary Fracture#

A B A
B X B
A C A
  • boundary around X fragments
  • inconsistent spacing

Example C — Drift Overrun#

A B C
B X B
C B A
  • drift spreads across entire grid
  • motif dissolves

Example D — Regime Discontinuity#

A A C
B X B
C B A
  • abrupt symmetry break
  • density mismatch

Example E — Multi‑Layer Break#

A B C
D X E
F E D
  • drift overrun + boundary fracture + invariant collapse

6. Coherence‑Break Packet (Canonical Format)#

COHERENCE_BREAK_PACKET:
  break_type:
  drift_signature:
  boundary_status:
  invariant_status:
  regime_status:
  continuity_status:
  geometry:
  severity:
  notes:

This packet is consumed by:

  • FFT Analyzer
  • TEL
  • Opacity
  • Bridges Module

7. Cross‑Module Propagation#

FFT Analyzer#

  • coherence break → envelope collapse
  • drift overrun → high‑variance field

TEL#

  • coherence break → lattice destabilization
  • invariant collapse → anchor loss

Opacity#

  • coherence break → multi‑zone occlusion
  • boundary fracture → visibility fragmentation

Regime Awareness#

  • coherence break → regime instability

8. Quick Summary#

  • Five break types: invariant collapse, boundary fracture, drift overrun, regime discontinuity, multi‑layer break
  • Three geometries: linear, radial, fragmented
  • Detected by: Drift Sense + Regime Awareness + Continuity Compass
  • Propagates into: FFT, TEL, Opacity
  • Packet: COHERENCE_BREAK_PACKET

This is the complete Structural Detection Coherence‑Break Catalog.

✔️ This Coherence‑Break Catalog 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/coherence_break_catalog.md
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