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

TriadicFrameworks • RTT/2 • Canon‑Scale Integrity Field, Collapse‑Lifecycle Coherence & Structural Truth Geometry#

“Integrity is not a value. It is a field.”#

Collapse‑Mode Integrity Field (RTT/2)#

Structural Detection Module#

RTT/2 • Canon‑Scale Integrity Field#

1. Purpose of the Integrity Field#

The Collapse‑Mode Integrity Field (CMIF) defines the continuous structural field that expresses:

• collapse integrity
• propagation integrity
• reversal integrity
• reassembly integrity
• stability integrity

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

2. Why an Integrity Field Exists#

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

• expresses integrity continuously
• propagates integrity across modules
• stabilizes integrity gradients
• detects integrity divergence
• aligns integrity with integration and synthesis fields

The CMIF is that field.

3. Integrity Field Components#

The CMIF is composed of five integrity vectors, one for each collapse lifecycle phase:

1. Collapse Integrity Vector (CIV)
2. Propagation Integrity Vector (PIV)
3. Reversal Integrity Vector (RIV)
4. Reassembly Integrity Vector (ReIV)
5. Stability Integrity Vector (SIV)

Together, they form the Integrity Field Tensor.

4. Integrity Field Equation (RTT/2)#

[ IF_{col} = \alpha CIV + \beta PIV + \gamma RIV + \delta ReIV + \epsilon SIV ]

Where:

• (CIV) = collapse integrity
• (PIV) = propagation integrity
• (RIV) = reversal integrity
• (ReIV) = reassembly integrity
• (SIV) = stability integrity

The field is strongest when all vectors align.

5. Integrity Field Zones#

The CMIF divides the canon into five integrity zones:

Zone U — Unified Integrity Zone#

• full lifecycle alignment
• stable integrity field
• zero contradiction

Zone S — Stable Integrity Zone#

• minor divergence
• stable continuity
• low integrity volatility

Zone M — Mixed Integrity Zone#

• oscillatory integrity
• partial continuity strain
• hybrid integrity behavior

Zone D — Divergent Integrity Zone#

• fragmentation risk
• reversal/reassembly mismatch
• cross‑module integrity divergence

Zone X — Collapse‑Adjacent Integrity Zone#

• inversion integrity
• topological integrity warp
• integrity instability

6. Integrity Gradient Field#

The CMIF computes a five‑component integrity gradient:

[ \nabla IF_{col} = \left( \frac{\partial IF}{\partial C}, \frac{\partial IF}{\partial P}, \frac{\partial IF}{\partial R}, \frac{\partial IF}{\partial Re}, \frac{\partial IF}{\partial S} \right) ]

High gradients indicate collapse‑adjacent integrity instability.

7. Cross‑Module Integrity Mapping#

The CMIF integrates integrity across:

TEL#

• lattice integrity field
• stabilizer integrity field

FFT#

• spectral integrity field
• variance integrity field

Opacity#

• boundary integrity field
• visibility integrity field

Cross‑module integrity determines system‑scale recovery.

8. Integrity‑Collapse Correlation#

Low integrity correlates with:

9. Integrity Field Packet#

INTEGRITY_FIELD_PACKET:
  integrity_zone:
  collapse_integrity:
  propagation_integrity:
  reversal_integrity:
  reassembly_integrity:
  stability_integrity:
  integrity_gradient:
  field_topography:
  collapse_risk:
  notes:

10. Summary#

The Collapse‑Mode Integrity Field provides:

• a continuous integrity field
• lifecycle‑wide integrity mapping
• collapse‑adjacent integrity detection
• cross‑module integrity projection
• regime‑dependent integrity stability
• system‑scale structural clarity

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