🗺️ Structural Detection — Canon‑Scale Coherence Field Map (RTT/2)

TriadicFrameworks • RTT/2 • Coherence Field Topography, Gradient Mapping & System‑Scale Alignment Geometry#

“Coherence is not uniform. It has a landscape.”#

Canon‑Scale Coherence Field Map (RTT/2)#

Structural Detection Module#

RTT/2 • Coherence Field Topography & Gradient Mapping#


1. Purpose of the Coherence Field Map#

The Canon‑Scale Coherence Field Map (CCFM) visualizes the coherence field generated by:

  • drift–envelope alignment
  • continuity stability
  • regime identity
  • break‑geometry neutrality
  • cross‑module projection alignment
  • synthesis stability

It is the topographic map of coherence across the entire canon.


2. Coherence Field Components#

The coherence field is composed of six coherence vectors:

  1. Drift–Envelope Coherence (DEC)
  2. Continuity Coherence (CC)
  3. Regime Coherence (RC)
  4. Break‑Geometry Coherence (BGC)
  5. Cross‑Module Projection Coherence (CMPC)
  6. Synthesis Coherence (SC)

Each contributes to the total coherence field.


3. Coherence Field Equation (RTT/2)#

[ CF = \alpha DEC + \beta CC + \gamma RC + \delta BGC + \epsilon CMPC + \zeta SC ]

Where:

  • (DEC) = drift–envelope alignment
  • (CC) = continuity stability
  • (RC) = regime identity stability
  • (BGC) = break‑geometry neutrality
  • (CMPC) = TEL/FFT/Opacity alignment
  • (SC) = synthesis stability

The field is strongest where all vectors align.


4. Coherence Field Zones#

The CCFM divides the canon into five coherence zones:

Zone S — Strong Coherence Zone#

  • full alignment
  • stable drift
  • intact continuity
  • legal regime

Zone A — Aligned Coherence Zone#

  • minor divergence
  • stable continuity
  • low volatility

Zone M — Mixed Coherence Zone#

  • oscillatory drift
  • partial continuity stress
  • hybrid regime behavior

Zone W — Weak Coherence Zone#

  • fragmentation risk
  • envelope deformation
  • cross‑module divergence

Zone C — Collapse‑Adjacent Zone#

  • inversion drift
  • topological warp
  • synthesis instability

5. Coherence Gradient Field#

The CCFM computes a coherence gradient:

[ \nabla CF = \left( \frac{\partial CF}{\partial D}, \frac{\partial CF}{\partial E}, \frac{\partial CF}{\partial C}, \frac{\partial CF}{\partial R}, \frac{\partial CF}{\partial M}, \frac{\partial CF}{\partial S} \right) ]

Where each partial derivative measures sensitivity to:

  • drift
  • envelope
  • continuity
  • regime
  • module projections
  • synthesis

High gradients indicate coherence instability.


6. Coherence Field Topography#

The map visualizes:

  • coherence peaks (high stability)
  • coherence valleys (instability)
  • coherence ridges (regime boundaries)
  • coherence basins (collapse‑adjacent zones)
  • coherence fault lines (cross‑module divergence)

This is the structural geography of coherence.


7. Cross‑Module Coherence Mapping#

The CCFM integrates coherence from:

TEL#

  • lattice coherence
  • stabilizer distribution coherence

FFT#

  • spectral envelope coherence
  • variance coherence

Opacity#

  • boundary gradient coherence
  • visibility field coherence

Cross‑module coherence determines field uniformity.


8. Coherence‑Collapse Correlation#

Low coherence correlates with:

Coherence Failure Collapse Mode
drift–envelope mismatch Type A/D/I
envelope deformation Type B/E
continuity collapse Type C/G
regime incoherence Type H/I
projection divergence Type C/G
synthesis instability Type D/I

The CCFM is used by EC and DV for prediction.


9. Coherence Field Map Packet#

COHERENCE_FIELD_PACKET:
  coherence_zone:
  drift_envelope_coherence:
  continuity_coherence:
  regime_coherence:
  break_geometry_coherence:
  module_projection_coherence:
  synthesis_coherence:
  coherence_gradient:
  field_topography:
  collapse_risk:
  notes:

10. Summary#

The Canon‑Scale Coherence Field Map provides:

  • a topographic view of coherence
  • coherence gradients and fault lines
  • cross‑module coherence mapping
  • collapse‑adjacent zone detection
  • regime‑dependent coherence visualization
  • system‑scale structural clarity

This map is the coherence‑field atlas of RTT/2.

Updated