Structural Faultline Detector Examples — RTT/1

Example Dictionary for the Structural Faultline Detector (SFD)#

These examples illustrate how the Structural Faultline Detector (SFD) detects structural fractures, maps faultlines, identifies instability seams, evaluates faultline propagation, and computes structural stability envelopes across R1–R4.

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/

Updated Jul 19, 2026