Drift Amplification Cases — RTT/1

Case Studies for the Drift Sentinel (DS)#

These case studies illustrate how the Drift Sentinel (DS) evaluates:

• drift amplification magnitude
• amplification direction
• amplification curvature
• amplification zones
• collapse‑point formation
• stability basin depth
• envelope boundaries

Each case demonstrates one or more DS operators:

• DS‑Detect
• DS‑Vector
• DS‑Envelope
• DS‑Field
• DS‑Amplify
• DS‑Stabilize

1. Structural Amplification Cases#

Case 1 — Structural Invariant Amplification (R1 → R2)#

Scenario
A conceptual invariant is violated, and the resulting drift amplifies as it propagates into computational structures.

DS Output

{
  "regime": "R1-R2",
  "amplification_magnitude": 0.41,
  "amplification_direction": "R1→R2",
  "amplification_curvature": 0.33,
  "amplification_zone": 0.22,
  "stability_basin": 0.63,
  "envelope_boundary": 0.44
}

Case 2 — Calibration‑Driven Amplification (R2 → R3)#

Scenario
A calibration mismatch amplifies drift as computational predictions diverge from physical measurement.

DS Output

{
  "regime": "R2-R3",
  "amplification_magnitude": 0.38,
  "amplification_direction": "R3→R2",
  "amplification_curvature": 0.39,
  "amplification_zone": 0.27,
  "stability_basin": 0.57,
  "envelope_boundary": 0.41
}

2. Gradient Amplification Cases#

Case 3 — Gradient Opposition Amplification (R1 ↔ R4)#

Scenario
Conceptual drift decreases while dimensional drift increases, amplifying drift curvature.

DS Output

{
  "regime": "R1-R4",
  "amplification_magnitude": 0.52,
  "amplification_direction": "R1↔R4",
  "amplification_curvature": 0.51,
  "amplification_zone": 0.22,
  "stability_basin": 0.69,
  "envelope_boundary": 0.46
}

Case 4 — Gradient Inversion Amplification (R2 ↔ R3)#

Scenario
Computational drift decreases while physical drift sensitivity increases, amplifying drift curvature.

DS Output

{
  "regime": "R2-R3",
  "amplification_magnitude": 0.49,
  "amplification_direction": "R3→R2",
  "amplification_curvature": 0.58,
  "amplification_zone": 0.31,
  "stability_basin": 0.72,
  "envelope_boundary": 0.41
}

3. Boundary Amplification Cases#

Case 5 — Abstraction‑Measurement Amplification (R1 → R3)#

Scenario
Conceptual abstraction predicts behavior that contradicts physical measurement, amplifying drift at the boundary.

DS Output

{
  "regime": "R1-R3",
  "amplification_magnitude": 0.33,
  "amplification_direction": "R1→R3",
  "amplification_curvature": 0.38,
  "amplification_zone": 0.22,
  "stability_basin": 0.55,
  "envelope_boundary": 0.38
}

Case 6 — Gradient‑Boundary Amplification (R2 ↔ R4)#

Scenario
Aligned gradients across computational and dimensional regimes amplify drift curvature.

DS Output

{
  "regime": "R2-R4",
  "amplification_magnitude": 0.58,
  "amplification_direction": "R2↔R4",
  "amplification_curvature": 0.47,
  "amplification_zone": 0.29,
  "stability_basin": 0.66,
  "envelope_boundary": 0.58
}

4. Drift‑Field Amplification Cases#

Case 7 — Multi‑Regime Amplification Field (R1 ↔ R2 ↔ R3)#

Scenario
A multi‑regime drift field amplifies drift curvature across conceptual, computational, and physical regimes.

DS Output

{
  "regime": "R1-R2-R3",
  "amplification_magnitude": 0.63,
  "amplification_direction": "tensor",
  "amplification_curvature": 0.63,
  "amplification_zone": 0.37,
  "stability_basin": 0.78,
  "envelope_boundary": 0.57
}

Case 8 — Dimensional Drift Constraint Amplification (R2 ↔ R4)#

Scenario
Dimensional constraints amplify computational drift curvature.

DS Output

{
  "regime": "R2-R4",
  "amplification_magnitude": 0.55,
  "amplification_direction": "R4→R2",
  "amplification_curvature": 0.55,
  "amplification_zone": 0.33,
  "stability_basin": 0.73,
  "envelope_boundary": 0.63
}

5. Collapse‑Point Amplification Cases#

Case 9 — Amplification Collapse Basin (R3 → R4)#

Scenario
Physical drift amplifies dimensional drift curvature, forming a collapse basin.

DS Output

{
  "regime": "R3-R4",
  "amplification_magnitude": 0.71,
  "amplification_direction": "R3→R4",
  "amplification_curvature": 0.71,
  "amplification_zone": 0.52,
  "stability_basin": 0.82,
  "envelope_boundary": 0.44
}

Case 10 — Drift‑Coherence Amplification Ridge (R2 ↔ R3)#

Scenario
Computational drift reduces coherence while physical drift increases coherence sensitivity, amplifying drift curvature.

DS Output

{
  "regime": "R2-R3",
  "amplification_magnitude": 0.62,
  "amplification_direction": "R2↔R3",
  "amplification_curvature": 0.62,
  "amplification_zone": 0.49,
  "stability_basin": 0.77,
  "envelope_boundary": 0.48
}

6. Canonical DS Amplification Snippet#

{
  "regime": "R1-R4",
  "amplification_magnitude": 0.52,
  "amplification_direction": "R1↔R4",
  "amplification_curvature": 0.51,
  "amplification_zone": 0.22,
  "stability_basin": 0.69,
  "envelope_boundary": 0.46
}

Status#

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