🜄 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:
- Collapse Integrity Vector (CIV)
- Propagation Integrity Vector (PIV)
- Reversal Integrity Vector (RIV)
- Reassembly Integrity Vector (ReIV)
- 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:
| Integrity Failure | Collapse Mode |
|---|---|
| collapse geometry mismatch | A/B/D/I |
| propagation divergence | B/E |
| reversal incompleteness | A/I/E |
| reassembly misalignment | C/G |
| stability failure | D/I |
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.