🌪️ Structural Detection — Regime‑Shift Volatility Map (RTT/2)

TriadicFrameworks • RTT/2 • Regime Instability Field, Volatility Zones & Transition‑Risk Cartography#

“Regimes do not shift randomly. They shift along volatility gradients.”#

Regime‑Shift Volatility Map (RTT/2)#

Structural Detection Module#

RTT/2 • Regime Instability Field & Transition‑Risk Cartography#

1. Purpose of the Volatility Map#

The Regime‑Shift Volatility Map (RSVM) provides a system‑scale visualization of:

• regime instability
• transition likelihood
• volatility gradients
• collapse‑adjacent regime zones
• cross‑module volatility propagation
• hybrid/inversion instability fields

It is the predictive atlas of regime‑shift behavior.

2. Volatility Sources (Canonical)#

Volatility arises from five structural sources:

1. Drift‑Driven Volatility
2. Envelope‑Driven Volatility
3. Continuity‑Driven Volatility
4. Break‑Driven Volatility
5. Cross‑Module Projection Volatility

Each source contributes to the total volatility field.

3. Regime‑Shift Volatility Zones#

The RSVM divides the canon into five volatility zones, each corresponding to a regime:

Zone F — Formal Volatility Zone#

• low volatility
• stable drift
• symmetric envelope
• strong continuity

Zone E — Emergent Volatility Zone#

• moderate volatility
• radial drift
• flexible continuity

Zone H — Hybrid Volatility Zone#

• high volatility
• oscillatory drift
• mixed envelope geometry
• partial continuity instability

Zone C — Chaotic Volatility Zone#

• extreme volatility
• fragmentation drift
• envelope discontinuity
• continuity collapse

Zone I — Inversion Volatility Zone#

• inversion drift
• envelope inversion
• continuity inversion
• collapse‑adjacent

Hybrid, Chaotic, and Inversion zones are collapse‑susceptible.

4. Volatility Gradient Field#

The RSVM computes a volatility gradient:

[ V = \alpha D + \beta E + \gamma C + \delta B + \epsilon X ]

Where:

• (D) = drift instability
• (E) = envelope deformation
• (C) = continuity stress
• (B) = break‑geometry activation
• (X) = cross‑module projection divergence

The gradient determines regime‑shift likelihood.

5. Regime‑Shift Likelihood Matrix#

6. Volatility Propagation Patterns#

Volatility spreads through:

1. Linear Propagation
2. Radial Propagation
3. Oscillatory Propagation
4. Topological Propagation
5. Cross‑Module Projection Propagation

Propagation determines collapse‑risk.

7. Cross‑Module Volatility Mapping#

The RSVM integrates volatility from:

TEL#

• lattice instability
• stabilizer drift

FFT#

• variance spikes
• spectral envelope distortion

Opacity#

• boundary gradient instability
• visibility field turbulence

Cross‑module volatility is the strongest collapse predictor.

8. Volatility‑Collapse Correlation Table#

9. Regime‑Shift Volatility Packet#

VOLATILITY_PACKET:
  regime:
  volatility_zone:
  drift_instability:
  envelope_instability:
  continuity_stress:
  break_activity:
  projection_divergence:
  volatility_gradient:
  shift_likelihood:
  collapse_risk:
  notes:

10. Summary#

The Regime‑Shift Volatility Map provides:

• a predictive atlas of regime instability
• volatility zones and gradients
• cross‑module volatility mapping
• collapse‑risk forecasting
• regime‑shift likelihood estimation
• system‑scale structural clarity

This map is the regime‑law hazard model of RTT/2.