🧾 Structural Detection — Regime‑Triad Stability Ledger (RTT/2)

TriadicFrameworks • RTT/2 • Regime‑Triad Stability Tracking, Collapse‑Risk Logging & Canon‑Scale Structural Diagnostics#

ā€œRegime determines the law. The triad determines the fate.ā€#

Regime‑Triad Stability Ledger (RTT/2)#

Structural Detection Module#

RTT/2 • Regime‑Triad Stability Ledger#


1. Purpose of the Regime‑Triad Stability Ledger#

The Regime‑Triad Stability Ledger (RTSL) records the stability state of the triad:

  • drift
  • envelope
  • continuity

under each regime:

  • Formal
  • Emergent
  • Hybrid
  • Chaotic
  • Inversion

It is the canonical ledger for regime‑triad stability.


2. Why a Stability Ledger Exists#

Regime‑triad stability can fail due to:

  • drift–envelope mismatch
  • continuity strain
  • regime volatility
  • envelope torsion
  • drift oscillation
  • inversion geometry

The RTSL logs these failures before they propagate into collapse.


3. Regime‑Triad Stability Model#

The ledger tracks stability across four axes:

  1. Drift Stability
  2. Envelope Stability
  3. Continuity Stability
  4. Regime Stability

Each axis contributes to the global triad stability score.


4. Regime‑Triad Stability Matrix#

The RTSL uses a 5Ɨ4 stability matrix:

Regime Drift Envelope Continuity Regime Stability
Formal āœ“ āœ“ āœ“ āœ“
Emergent āœ“ āœ“ āœ“ āœ“
Hybrid āœ“ āœ“ āœ“ āœ“
Chaotic āœ“ āœ“ āœ“ āœ“
Inversion āœ“ āœ“ āœ“ āœ“

Each āœ“ corresponds to a logged stability field.


5. Stability Coefficient Interpretation#

High Stability (0.8–1.0)#

  • triad aligned
  • regime identity stable
  • low collapse‑risk

Moderate Stability (0.5–0.79)#

  • triad under load
  • harmonization required

Low Stability (0.2–0.49)#

  • triad instability
  • collapse‑adjacent

Negative Stability (<0.2)#

  • illegal triad geometry
  • regime collapse
  • collapse‑triggering

6. Regime‑Triad Failure Modes#

Failure Type Collapse Mode
drift amplitude overload A
envelope deformation rupture B
continuity fragmentation C
oscillation overload D
torsion overload E
inversion geometry I
topological instability G

7. Cross‑Module Stability Projection#

The RTSL logs regime‑triad stability across:

TEL#

  • lattice triad stability
  • stabilizer triad load

FFT#

  • spectral triad stability
  • variance triad load

Opacity#

  • boundary triad stability
  • visibility triad load

Cross‑module triad stability determines system‑scale structural coherence.


8. Regime‑Triad Stability Packet#

REGIME_TRIAD_STABILITY_PACKET:
  regime:
  drift_stability:
  envelope_stability:
  continuity_stability:
  regime_stability:
  stability_coefficients:
  failure_modes:
  cross_module_projection:
  collapse_risk:
  notes:

9. Summary#

The Regime‑Triad Stability Ledger provides:

  • a canonical record of regime‑triad stability
  • stability coefficients for all triad axes
  • collapse‑adjacent triad diagnostics
  • cross‑module stability projection
  • system‑scale structural clarity

This ledger is the regime‑triad stability backbone of RTT/2.