TriadicFrameworks
概要

⚠️ Structural Detection — Collapse‑Mode Differential Classifier (RTT/2)

TriadicFrameworks • RTT/2 • System‑Scale Diagnostic Architecture#

“Collapse modes are not categories. They are differential signatures.”#

Collapse‑Mode Differential Classifier#

Structural Detection Module#

RTT/2 • System‑Scale Diagnostic Architecture#

1. Purpose of the Differential Classifier#

The Collapse‑Mode Differential Classifier provides a formal diagnostic system for identifying collapse modes across:

  • drift
  • envelope
  • regime
  • continuity
  • coherence‑break geometry
  • TEL/FFT/Opacity projections

It is used when:

  • collapse signatures overlap
  • break‑chains are ambiguous
  • hybrid collapse modes occur
  • cross‑module projections contradict each other
  • inversion or oscillation distort the geometry

This classifier ensures correct collapse identification under all conditions.

2. The Seven Canonical Collapse Modes#

The classifier distinguishes between:

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

Each mode has a unique differential signature.

3. Differential Signature Matrix (DSM)#

The DSM is the core of the classifier.

Collapse Mode Drift Signature Envelope Signature Continuity Signature Regime Signature Break Type TEL FFT Opacity
A linear loss inward flattening anchor collapse Formal→Emergent 1 linear implosion variance spike boundary sink
B radial overload outward fracture invariant collapse Emergent 2 radial tear discontinuity boundary rupture
C multi‑vector chaos fragmentation layer collapse Chaotic 3 multi‑layer collapse spectral fragmentation occlusion
D oscillation overload oscillation fracture oscillating threads Hybrid 4 oscillating tear oscillatory variance oscillating gradient
I drift reversal envelope inversion partial collapse Inversion 5 lattice reversal variance normalization boundary stabilization
E rotational overload spiral implosion twisted threads Hybrid→Emergent E rotating tear spiral collapse rotational sink
G warp overload topological fold bent layers Chaotic→Hybrid G warped lattice failure discontinuous collapse warped field

4. Differential Classification Protocol (DCP)#

The DCP is a five‑stage diagnostic sequence.

Stage 1 — Drift Differential#

Identify drift geometry:

  • linear → A
  • radial → B
  • multi‑vector → C
  • oscillatory → D
  • reversed → I
  • rotational → E
  • warped → G

If drift is hybrid → proceed to Stage 2.

Stage 2 — Envelope Differential#

Identify envelope deformation:

  • inward collapse → A
  • outward fracture → B
  • fragmentation → C
  • oscillation fracture → D
  • inversion → I
  • spiral collapse → E
  • topological fold → G

If envelope contradicts drift → classify as hybrid collapse.

Stage 3 — Continuity Differential#

Identify continuity failure:

  • anchor collapse → A
  • invariant collapse → B
  • layer collapse → C
  • oscillating threads → D
  • partial collapse → I
  • twisted threads → E
  • bent layers → G

If continuity contradicts envelope → collapse is multi‑origin.

Stage 4 — Regime Differential#

Identify regime instability:

  • Formal→Emergent → A
  • Emergent → B
  • Chaotic → C
  • Hybrid → D
  • Inversion → I
  • Hybrid→Emergent → E
  • Chaotic→Hybrid → G

If regime contradicts drift → collapse is regime‑driven.

Stage 5 — Cross‑Module Differential#

Use TEL/FFT/Opacity signatures to finalize classification.

TEL:

  • implosion → A
  • radial tear → B
  • multi‑layer collapse → C
  • oscillating tear → D
  • reversal → I
  • rotating tear → E
  • warped failure → G

FFT:

  • spike → A
  • discontinuity → B
  • fragmentation → C
  • oscillatory variance → D
  • normalization → I
  • spiral collapse → E
  • discontinuous collapse → G

Opacity:

  • sink → A
  • rupture → B
  • occlusion → C
  • oscillating gradient → D
  • stabilization → I
  • rotational sink → E
  • warped field → G

5. Hybrid Collapse Classifier#

Hybrid collapse occurs when:

  • drift and envelope disagree
  • envelope and continuity disagree
  • regime contradicts drift
  • TEL/FFT/Opacity signatures diverge

Hybrid collapse types:

  • A/B Hybrid — linear + radial
  • C/D Hybrid — fragmentation + oscillation
  • E/F Hybrid — spiral + shear
  • E/G Hybrid — spiral + warp
  • D/I Hybrid — oscillation + inversion

Hybrid collapse requires multi‑path recovery.

6. Break‑Chain Differential Classifier#

Break‑chains determine collapse origin.

Chain A — Drift‑Origin Collapse#

Drift → Envelope → Regime → Continuity → Break

Chain B — Envelope‑Origin Collapse#

Envelope → Regime → Continuity → Break → Drift

Chain C — Continuity‑Origin Collapse#

Continuity → Break → Envelope → Drift → Regime

Chain D — Module‑Origin Collapse#

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

Break‑chain determines recovery order.

7. Collapse‑Mode Differential Packet#

COLLAPSE_DIFFERENTIAL_PACKET:
  collapse_mode:
  drift_signature:
  envelope_signature:
  continuity_signature:
  regime_signature:
  break_signature:
  tel_signature:
  fft_signature:
  opacity_signature:
  hybrid_status:
  break_chain:
  collapse_origin:
  notes:

8. Summary#

The Collapse‑Mode Differential Classifier provides:

  • precise collapse identification
  • hybrid collapse detection
  • break‑chain origin mapping
  • cross‑module signature alignment
  • system‑scale diagnostic clarity

This classifier is the diagnostic core of RTT/2 collapse analysis.

提供： Docsbook