🌪️ Structural Detection — Regime‑Drift Stability Map (RTT/2)

TriadicFrameworks • RTT/2 • Regime‑Dependent Drift Geometry, Stability Mapping & Collapse‑Adjacency Diagnostics#

“Regimes define drift. Drift tests regimes.”#

Regime‑Drift Stability Map (RTT/2)#

Structural Detection Module#

RTT/2 • Regime‑Dependent Drift Geometry & Stability Mapping#

1. Purpose of the Regime‑Drift Stability Map#

The Regime‑Drift Stability Map (RDSM) defines the interaction between regime identity and drift geometry, tracking:

• drift amplitude
• drift curvature
• drift oscillation
• drift legality
• drift inversion
• drift fragmentation tendency

It determines how drift behaves within each regime and how regimes respond to drift stress.

2. Why Regime–Drift Stability Matters#

Drift is the primary driver of:

• volatility
• deformation
• oscillation
• fragmentation
• inversion
• collapse propagation

Regimes determine:

• drift constraints
• drift legality
• drift amplification
• drift suppression

Their interaction defines collapse‑risk.

3. Regime‑Drift Stability Profiles#

Each regime has a unique drift‑stability signature:

Formal Regime#

• low drift amplitude
• stable curvature
• minimal oscillation
• high drift legality
• low collapse‑risk

Emergent Regime#

• moderate drift amplitude
• radial drift expansion
• envelope‑aligned drift
• moderate collapse‑risk

Hybrid Regime#

• oscillatory drift
• mixed curvature
• drift–envelope mismatch
• high collapse‑adjacent behavior

Chaotic Regime#

• extreme drift amplitude
• fragmentation drift
• high curvature instability
• collapse‑prone

Inversion Regime#

• negative drift coupling
• drift polarity reversal
• illegal drift amplification
• collapse‑triggering

4. Regime‑Drift Stability Matrix#

The RDSM uses a 5×5 drift‑stability matrix:

[ M_{RD} = \begin{bmatrix} D_{FA} & D_{FC} & D_{FO} & D_{FF} & D_{FI} \ D_{EA} & D_{EC} & D_{EO} & D_{EF} & D_{EI} \ D_{HA} & D_{HC} & D_{HO} & D_{HF} & D_{HI} \ D_{CA} & D_{CC} & D_{CO} & D_{CF} & D_{CI} \ D_{IA} & D_{IC} & D_{IO} & D_{IF} & D_{II} \end{bmatrix} ]

Where:

• rows = regimes
• columns = drift behaviors
• (A) = amplitude
• (C) = curvature
• (O) = oscillation
• (F) = fragmentation
• (I) = inversion

Each coefficient measures drift stability under that regime.

5. Drift Stability Coefficient Interpretation#

High Stability (0.8–1.0)#

• drift fully constrained
• low collapse‑risk

Moderate Stability (0.5–0.79)#

• drift under load
• harmonization required

Low Stability (0.2–0.49)#

• drift instability
• collapse‑adjacent

Negative Stability (<0.2)#

• illegal drift
• collapse‑triggering

6. Regime‑Drift Failure Modes#

7. Drift Geometry Across Regimes#

Linear Drift#

• stable in Formal
• unstable in Chaotic

Radial Drift#

• stable in Emergent
• rupture‑prone in Chaotic

Oscillatory Drift#

• stable only with harmonization
• collapse‑adjacent in Hybrid

Fragmentation Drift#

• exclusive to Chaotic
• requires reassembly (EK)

Inversion Drift#

• exclusive to Inversion
• requires reversal (EH)

8. Cross‑Module Drift Projection#

The RDSM tracks drift behavior across:

TEL#

• drift–lattice interaction
• stabilizer drift load

FFT#

• drift–variance interaction
• spectral drift load

Opacity#

• drift–boundary interaction
• visibility drift load

Cross‑module drift determines system‑scale volatility.

9. Regime‑Drift Stability Packet#

REGIME_DRIFT_PACKET:
  regime:
  drift_amplitude_stability:
  drift_curvature_stability:
  drift_oscillation_stability:
  drift_fragmentation_stability:
  drift_inversion_stability:
  stability_coefficients:
  failure_modes:
  cross_module_projection:
  collapse_risk:
  notes:

10. Summary#

The Regime‑Drift Stability Map provides:

• a canonical map of regime–drift interaction
• drift stability coefficients for all regimes
• collapse‑adjacent drift diagnostics
• drift geometry classification
• cross‑module drift projection
• system‑scale structural clarity

This map is the drift‑law backbone of RTT/2.