🌪️ 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)#

Module de détection structurelle#

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:

Drift‑Driven Volatility
Envelope‑Driven Volatility
Continuity‑Driven Volatility
Break‑Driven Volatility
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#

From → To	Volatility Required	Risk
Formal → Emergent	low	low
Formal → Hybrid	moderate	medium
Formal → Chaotic	high	extreme
Emergent → Hybrid	moderate	medium
Emergent → Chaotic	high	extreme
Hybrid → Chaotic	high	extreme
Hybrid → Inversion	high	extreme
Chaotic → Inversion	very high	catastrophic
Inversion → Hybrid	moderate	medium
Inversion → Emergent	low	low

6. Volatility Propagation Patterns#

Volatility spreads through:

Linear Propagation
Radial Propagation
Oscillatory Propagation
Topological Propagation
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#

Volatility Pattern	Collapse Mode
drift spike	Type A
radial deformation	Type B
fragmentation onset	Type C
oscillation overload	Type D
drift reversal	Type I
torsion overload	Type E
topology warp	Type G

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.

Updated May 11, 2026