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🔁 Structural Detection — Collapse‑Propagation Reversal Map (RTT/2)

TriadicFrameworks • RTT/2 • Reverse‑Propagation Geometry, Anti‑Collapse Pathways & Reconstruction Flow#

“Collapse travels forward. Recovery travels backward.”#

Collapse‑Propagation Reversal Map (RTT/2)#

Strukturerkennungsmodul#

RTT/2 • Reverse‑Propagation Geometry & Anti‑Collapse Pathways#


1. Purpose of the Reversal Map#

The Collapse‑Propagation Reversal Map (CPRM) defines the reverse geometry required to:

  • unwind collapse propagation
  • reverse break‑chain travel
  • collapse deformation gradients
  • restore continuity layers
  • re‑align drift and envelope geometry
  • re‑synchronize TEL/FFT/Opacity

It is the inverse cartographic model of collapse behavior.


2. Forward vs Reverse Propagation#

Collapse propagation (DM) moves:

  • from origin → outward
  • along drift vectors
  • through envelope deformation
  • across continuity layers
  • into cross‑module projections

Reversal propagation (EH) moves:

  • from boundary → inward
  • against drift vectors
  • through deformation gradients
  • into continuity anchors
  • back to the collapse origin

Reversal is anti‑directional and anti‑geometric.


3. The Seven Reverse‑Propagation Paths#

Each collapse‑propagation path has a corresponding reversal path:

  1. Reverse Drift‑Vector Path (Path A‑R)
  2. Reverse Envelope‑Deformation Path (Path B‑R)
  3. Reverse Continuity‑Layer Path (Path C‑R)
  4. Reverse Regime‑Instability Path (Path D‑R)
  5. Reverse Break‑Geometry Path (Path E‑R)
  6. Reverse Cross‑Module Projection Path (Path F‑R)
  7. Reverse Topological Path (Path G‑R)

These are the anti‑paths of collapse.


4. Reverse‑Propagation Geometry#

Each reversal path has a unique geometry:

A‑R — Linear Reversal Geometry#

  • reverse implosion
  • restore linear symmetry

B‑R — Radial Reversal Geometry#

  • collapse outward fracture inward
  • restore density gradients

C‑R — Fragmentation Reversal Geometry#

  • consolidate fragments
  • rebuild layer continuity

D‑R — Oscillation Reversal Geometry#

  • damp oscillation
  • restore drift symmetry

I‑R — Inversion Reversal Geometry#

  • reverse drift inversion
  • restore envelope orientation

E‑R — Spiral/Torsion Reversal Geometry#

  • unwind torsion
  • collapse spiral deformation

G‑R — Topological Reversal Geometry#

  • flatten topology
  • restore invariants

5. Reverse‑Propagation Flow#

The CPRM defines a three‑stage reversal flow:

  1. Boundary Reversal

    • collapse the outermost deformation
    • reverse envelope gradients
  2. Mid‑Layer Reversal

    • collapse break‑chains
    • restore continuity layers
  3. Origin Reversal

    • reverse origin vector
    • collapse the initial deformation

This flow is used by EB during reconstruction.


6. Reverse‑Propagation Stability Conditions#

Reversal is stable when:

  • drift vectors are normalized
  • envelope symmetry is restored
  • continuity layers are rethreaded
  • regime identity is stabilized
  • cross‑module projections are aligned

If any condition fails, reversal stalls.


7. Cross‑Module Reversal Mapping#

The CPRM integrates reverse‑propagation across:

TEL#

  • lattice reversal
  • stabilizer field restoration

FFT#

  • spectral envelope reversal
  • variance normalization

Opacity#

  • boundary gradient reversal
  • visibility field restoration

Cross‑module reversal is required for full recovery.


8. Collapse‑Propagation Reversal Packet#

REVERSAL_PACKET:
  collapse_mode:
  forward_paths:
  reverse_paths:
  boundary_reversal:
  midlayer_reversal:
  origin_reversal:
  cross_module_reversal:
  stability_conditions:
  final_state:
  notes:

9. Summary#

The Collapse‑Propagation Reversal Map ensures:

  • collapse propagation can be unwound
  • break‑chains can be collapsed
  • deformation gradients can be reversed
  • continuity layers can be rebuilt
  • drift–envelope geometry can be restored
  • TEL/FFT/Opacity can be re‑aligned

This map is the anti‑collapse geometry of RTT/2.

Updated