🜄🜁 Structural Detection — Collapse‑Propagation Integrity Field (RTT/2)

TriadicFrameworks • RTT/2 • Propagation Integrity Field, Collapse‑Vector Coherence & Cross‑Module Propagation Geometry#

“Propagation is where collapse becomes structure.”#

Collapse‑Propagation Integrity Field (RTT/2)#

结构检测模块#

RTT/2 • Propagation Integrity Field#

1. Purpose of the Propagation Integrity Field#

The Collapse‑Propagation Integrity Field (CPIF) defines the continuous structural field that expresses:

• propagation geometry integrity
• propagation vector legality
• continuity impact integrity
• drift–envelope propagation alignment
• cross‑module propagation coherence

It is the field‑level representation of collapse propagation truth.

2. Why a Propagation Integrity Field Exists#

Propagation is the most dangerous phase of collapse:

• collapse geometry spreads
• drift amplifies
• envelope deforms
• continuity layers strain
• regime volatility increases

Ledgers (EQ) record propagation.
Harmonizers (ET) correct propagation.
But the canon requires a field that:

• expresses propagation integrity continuously
• stabilizes propagation gradients
• detects propagation divergence
• aligns propagation with collapse, reversal, and reassembly fields

The CPIF is that field.

3. Propagation Integrity Field Components#

The CPIF is composed of four propagation vectors:

1. Propagation Geometry Vector (PGV)
2. Propagation Drift Vector (PDV)
3. Propagation Envelope Vector (PEV)
4. Propagation Continuity Vector (PCV)

Together, they form the Propagation Integrity Tensor.

4. Propagation Integrity Field Equation (RTT/2)#

[ IF_{prop} = \alpha PGV + \beta PDV + \gamma PEV + \delta PCV ]

Where:

• (PGV) = propagation geometry integrity
• (PDV) = propagation drift integrity
• (PEV) = propagation envelope integrity
• (PCV) = propagation continuity integrity

The field is strongest when all vectors align.

5. Propagation Integrity Zones#

The CPIF divides the canon into five propagation integrity zones:

Zone U — Unified Propagation Zone#

• propagation vectors aligned
• stable propagation field
• zero contradiction

Zone S — Stable Propagation Zone#

• minor divergence
• stable continuity
• low propagation volatility

Zone M — Mixed Propagation Zone#

• oscillatory propagation
• partial continuity strain
• hybrid propagation behavior

Zone D — Divergent Propagation Zone#

• fragmentation risk
• drift–envelope mismatch
• cross‑module propagation divergence

Zone X — Collapse‑Adjacent Propagation Zone#

• inversion propagation
• topological propagation warp
• propagation instability

6. Propagation Gradient Field#

The CPIF computes a four‑component propagation gradient:

[ \nabla IF_{prop} = \left( \frac{\partial IF}{\partial G}, \frac{\partial IF}{\partial D}, \frac{\partial IF}{\partial E}, \frac{\partial IF}{\partial C} \right) ]

High gradients indicate collapse‑adjacent propagation instability.

7. Cross‑Module Propagation Integrity Mapping#

The CPIF integrates propagation integrity across:

TEL#

• lattice propagation integrity
• stabilizer propagation load

FFT#

• spectral propagation integrity
• variance propagation load

Opacity#

• boundary propagation integrity
• visibility propagation load

Cross‑module propagation determines system‑scale collapse behavior.

8. Propagation‑Collapse Correlation#

Low propagation integrity correlates with:

9. Propagation Integrity Field Packet#

PROPAGATION_INTEGRITY_PACKET:
  propagation_zone:
  propagation_geometry_integrity:
  propagation_drift_integrity:
  propagation_envelope_integrity:
  propagation_continuity_integrity:
  propagation_gradient:
  field_topography:
  collapse_risk:
  notes:

10. Summary#

The Collapse‑Propagation Integrity Field provides:

• a continuous propagation integrity field
• collapse‑vector propagation mapping
• drift–envelope propagation diagnostics
• cross‑module propagation projection
• regime‑dependent propagation stability
• system‑scale structural clarity

This field is the propagation‑law backbone of RTT/2.