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Structural Faultline Detector Examples — RTT/1

Example Dictionary for the Structural Faultline Detector (SFD)#

Each example demonstrates one or more SFD operators:

  • SFD‑Detect
  • SFD‑Fracture
  • SFD‑Seam
  • SFD‑Field
  • SFD‑Propagate
  • SFD‑Stabilize

Examples are grouped by faultline type.

1. Structural Fracture Examples#

Example 1 — Structural Invariant Fracture (R1 ↔ R2)#

Scenario
A conceptual invariant is violated by a computational structure, producing a structural fracture.

SFD Output

{
  "faultline_type": "structural-fracture",
  "regime": "R1-R2",
  "fracture_magnitude": 0.72,
  "fracture_direction": "R1→R2",
  "faultline_curvature": 0.33,
  "propagation_rate": 0.22,
  "instability_seam": 0.41,
  "stability_envelope": 0.63
}

Example 2 — Calibration‑Driven Structural Fracture (R2 ↔ R3)#

Scenario
A computational calibration mismatch produces a structural fracture across physical measurement.

SFD Output

{
  "faultline_type": "structural-fracture",
  "regime": "R2-R3",
  "fracture_magnitude": 0.68,
  "fracture_direction": "R3→R2",
  "faultline_curvature": 0.39,
  "propagation_rate": 0.27,
  "instability_seam": 0.38,
  "stability_envelope": 0.57
}

2. Gradient Faultline Examples#

Example 3 — Gradient Faultline Opposition (R1 ↔ R4)#

Scenario
Conceptual and dimensional gradients oppose each other, forming a gradient faultline.

SFD Output

{
  "faultline_type": "gradient",
  "regime": "R1-R4",
  "fracture_magnitude": 0.83,
  "fracture_direction": "R1↔R4",
  "faultline_curvature": 0.52,
  "propagation_rate": 0.33,
  "instability_seam": 0.47,
  "stability_envelope": 0.69
}

Example 4 — Gradient Inversion Faultline (R2 ↔ R3)#

Scenario
Computational drift decreases while physical drift sensitivity increases, forming a gradient faultline.

SFD Output

{
  "faultline_type": "gradient",
  "regime": "R2-R3",
  "fracture_magnitude": 0.79,
  "fracture_direction": "R3→R2",
  "faultline_curvature": 0.58,
  "propagation_rate": 0.31,
  "instability_seam": 0.44,
  "stability_envelope": 0.72
}

3. Boundary Faultline Examples#

Example 5 — Abstraction‑Measurement Faultline (R1 ↔ R3)#

Scenario
Conceptual abstraction predicts behavior that contradicts physical measurement, forming a boundary faultline.

SFD Output

{
  "faultline_type": "boundary",
  "regime": "R1-R3",
  "fracture_magnitude": 0.67,
  "fracture_direction": "R1→R3",
  "faultline_curvature": 0.33,
  "propagation_rate": 0.22,
  "instability_seam": 0.38,
  "stability_envelope": 0.55
}

Example 6 — Gradient‑Boundary Faultline (R2 ↔ R4)#

Scenario
Aligned gradients across computational and dimensional regimes produce contradictory structural outcomes.

SFD Output

{
  "faultline_type": "boundary",
  "regime": "R2-R4",
  "fracture_magnitude": 0.88,
  "fracture_direction": "R2↔R4",
  "faultline_curvature": 0.47,
  "propagation_rate": 0.29,
  "instability_seam": 0.58,
  "stability_envelope": 0.66
}

4. Faultline‑Field Examples#

Example 7 — Multi‑Regime Faultline Field (R1 ↔ R2 ↔ R3)#

Scenario
A multi‑regime faultline binds conceptual, computational, and physical structural fractures.

SFD Output

{
  "faultline_type": "field",
  "regime": "R1-R2-R3",
  "fracture_magnitude": 0.94,
  "fracture_direction": "tensor",
  "faultline_curvature": 0.63,
  "propagation_rate": 0.37,
  "instability_seam": 0.57,
  "stability_envelope": 0.78
}

Example 8 — Dimensional Faultline Constraint (R2 ↔ R4)#

Scenario
Dimensional constraints influence computational structural pathways.

SFD Output

{
  "faultline_type": "field",
  "regime": "R2-R4",
  "fracture_magnitude": 0.88,
  "fracture_direction": "R4→R2",
  "faultline_curvature": 0.55,
  "propagation_rate": 0.33,
  "instability_seam": 0.63,
  "stability_envelope": 0.73
}

5. Drift‑Sensitive Faultline Examples#

Example 9 — Drift‑Amplified Faultline Basin (R3 ↔ R4)#

Scenario
Physical drift amplifies structural curvature, forming a drift‑sensitive faultline basin.

SFD Output

{
  "faultline_type": "drift-sensitive",
  "regime": "R3-R4",
  "fracture_magnitude": 0.91,
  "fracture_direction": "R3→R4",
  "faultline_curvature": 0.71,
  "propagation_rate": 0.52,
  "instability_seam": 0.44,
  "stability_envelope": 0.82
}

Example 10 — Drift‑Coherence Faultline Ridge (R2 ↔ R3)#

Scenario
Computational drift reduces coherence while physical drift increases coherence sensitivity, forming a drift‑coherence faultline ridge.

SFD Output

{
  "faultline_type": "drift-sensitive",
  "regime": "R2-R3",
  "fracture_magnitude": 0.86,
  "fracture_direction": "R2↔R3",
  "faultline_curvature": 0.62,
  "propagation_rate": 0.49,
  "instability_seam": 0.48,
  "stability_envelope": 0.77
}

6. Canonical SFD Output Snippet#

{
  "faultline_type": "gradient",
  "regime": "R1-R4",
  "fracture_magnitude": 0.83,
  "fracture_direction": "R1↔R4",
  "faultline_curvature": 0.52,
  "propagation_rate": 0.33,
  "instability_seam": 0.47,
  "stability_envelope": 0.69
}

Status#

  • Version: 1.0
  • Status: canon‑stable
  • Category: rtt‑structural
  • Module Path: /docs/rtt/Structural_Faultline_Detector/
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