🧱 Structural Detection — Collapse‑Mode Reassembly Stability Index (RTT/2)

TriadicFrameworks • RTT/2 • Post‑Collapse Stability Quantification, Reassembly Integrity Scoring & Reconstruction Diagnostics#

“Reassembly is not complete until stability is proven.”#

Collapse‑Mode Reassembly Stability Index (RTT/2)#

Structural Detection Module#

RTT/2 • Reassembly Integrity Scoring & Stability Diagnostics#

1. Purpose of the Reassembly Stability Index#

The Reassembly Stability Index (RSI) quantifies the post‑collapse stability of a reconstructed structure by evaluating:

• geometry reversal integrity
• continuity reassembly strength
• drift–envelope rebinding stability
• regime identity restoration
• cross‑module projection alignment
• synthesis field compatibility

It is the final verification step after reconstruction.

2. Why a Stability Index Is Required#

Reassembly can fail due to:

• incomplete geometry reversal
• continuity thread misalignment
• drift–envelope mismatch
• regime volatility
• cross‑module projection divergence
• synthesis instability

The RSI detects these failures before they propagate.

3. Stability Index Equation (RTT/2)#

[ RSI = 0.25GR + 0.25CR + 0.20DE + 0.15RI + 0.10MP + 0.05SF ]

Where:

• (GR) = geometry reversal integrity
• (CR) = continuity reassembly strength
• (DE) = drift–envelope rebinding stability
• (RI) = regime identity restoration
• (MP) = module projection alignment
• (SF) = synthesis field compatibility

The result is mapped to a stability tier.

4. Stability Tiers (Canonical)#

5. Collapse‑Mode Stability Profiles#

Each collapse mode has a unique reassembly stability pattern:

Type A — Linear#

• high anchor load
• drift curvature sensitivity

Type B — Radial#

• density gradient sensitivity
• radial continuity strain

Type C — Fragmentation#

• multi‑layer continuity risk
• invariant reformation difficulty

Type D — Oscillation#

• oscillatory drift rebound risk
• regime volatility sensitivity

Type I — Inversion#

• negative drift coupling
• envelope polarity instability

Type E — Spiral/Torsion#

• torsion rebound risk
• stabilizer torsion sensitivity

Type G — Topological#

• invariant reconstruction difficulty
• topology flattening instability

These profiles influence RSI weighting.

6. Reassembly Stability Diagnostics#

The RSI evaluates:

6.1 Geometry Reversal Integrity#

• reversal completeness
• deformation gradient collapse
• break‑chain neutralization

6.2 Continuity Reassembly Strength#

• anchor stability
• thread alignment
• invariant restoration
• multi‑layer coherence

6.3 Drift–Envelope Rebinding#

• drift normalization
• envelope symmetry
• torsion neutralization

6.4 Regime Identity Restoration#

• volatility reduction
• identity stabilization
• hybrid/inversion correction

6.5 Module Projection Alignment#

• TEL lattice alignment
• FFT spectral alignment
• Opacity boundary alignment

6.6 Synthesis Field Compatibility#

• synthesis packet stability
• contradiction‑free integration

7. Cross‑Module Stability Mapping#

The RSI integrates stability across:

TEL#

• lattice reassembly stability
• stabilizer field stability

FFT#

• spectral envelope stability
• variance stability

Opacity#

• boundary gradient stability
• visibility field stability

Cross‑module stability determines system‑scale recovery.

8. Reassembly Stability Packet#

REASSEMBLY_STABILITY_PACKET:
  collapse_mode:
  geometry_reversal_integrity:
  continuity_reassembly_strength:
  drift_envelope_rebinding_stability:
  regime_identity_restoration:
  module_projection_alignment:
  synthesis_field_compatibility:
  stability_score:
  stability_tier:
  collapse_risk:
  notes:

9. Summary#

The Collapse‑Mode Reassembly Stability Index provides:

• a quantitative measure of reconstruction success
• collapse‑mode‑specific stability diagnostics
• continuity and drift–envelope stability evaluation
• regime identity restoration verification
• cross‑module stability mapping
• system‑scale structural clarity

This index is the reassembly‑law verification engine of RTT/2.