Dimensional Resonance Scanner Examples — RTT/1

Example Dictionary for the Dimensional Resonance Scanner (DRS)#

Each example demonstrates one or more DRS operators:

DRS‑Scan
DRS‑Frequency
DRS‑Field
DRS‑Vector
DRS‑Amplify
DRS‑Stabilize

Examples are grouped by resonance tensor type.

1. Resonance Signature Examples#

Example 1 — Conceptual Resonance Signature (R1)#

Scenario
A conceptual model exhibits a low‑frequency resonance onset with shallow curvature.

DRS Output

{
  "resonance_type": "signature",
  "regime": "R1",
  "resonance_magnitude": 0.41,
  "resonance_direction": "conceptual",
  "resonance_curvature": 0.22,
  "amplification_zone": 0.11,
  "resonance_field": 0.63,
  "envelope_boundary": 0.44
}

Example 2 — Dimensional Resonance Signature (R4)#

Scenario
Dimensional constraints produce a high‑sensitivity resonance onset.

DRS Output

{
  "resonance_type": "signature",
  "regime": "R4",
  "resonance_magnitude": 0.72,
  "resonance_direction": "dimensional",
  "resonance_curvature": 0.44,
  "amplification_zone": 0.22,
  "resonance_field": 0.57,
  "envelope_boundary": 0.41
}

2. Resonance Frequency Examples#

Example 3 — Harmonic Resonance Frequency (R2)#

Scenario
A computational structure exhibits a stable harmonic resonance frequency.

DRS Output

{
  "resonance_type": "frequency",
  "regime": "R2",
  "resonance_magnitude": 0.52,
  "resonance_direction": "computational",
  "resonance_curvature": 0.33,
  "amplification_zone": 0.27,
  "resonance_field": 0.57,
  "envelope_boundary": 0.41
}

Example 4 — Frequency Inversion (R2 ↔ R3)#

Scenario
Computational resonance decreases while physical resonance sensitivity increases.

DRS Output

{
  "resonance_type": "frequency",
  "regime": "R2-R3",
  "resonance_magnitude": 0.79,
  "resonance_direction": "R3→R2",
  "resonance_curvature": 0.58,
  "amplification_zone": 0.31,
  "resonance_field": 0.72,
  "envelope_boundary": 0.41
}

3. Resonance Field Examples#

Example 5 — Multi‑Regime Resonance Field (R1 ↔ R2 ↔ R3)#

Scenario
A multi‑regime resonance field binds conceptual, computational, and physical resonance pathways.

DRS Output

{
  "resonance_type": "field",
  "regime": "R1-R2-R3",
  "resonance_magnitude": 0.94,
  "resonance_direction": "tensor",
  "resonance_curvature": 0.63,
  "amplification_zone": 0.37,
  "resonance_field": 0.78,
  "envelope_boundary": 0.57
}

Example 6 — Dimensional Resonance Constraint (R2 ↔ R4)#

Scenario
Dimensional constraints influence computational resonance pathways.

DRS Output

{
  "resonance_type": "field",
  "regime": "R2-R4",
  "resonance_magnitude": 0.88,
  "resonance_direction": "R4→R2",
  "resonance_curvature": 0.55,
  "amplification_zone": 0.33,
  "resonance_field": 0.73,
  "envelope_boundary": 0.63
}

4. Resonance Amplification Examples#

Example 7 — Amplification Zone (R3 → R4)#

Scenario
Physical drift amplifies resonance curvature, forming a resonance amplification zone.

DRS Output

{
  "resonance_type": "amplification",
  "regime": "R3-R4",
  "resonance_magnitude": 0.91,
  "resonance_direction": "R3→R4",
  "resonance_curvature": 0.71,
  "amplification_zone": 0.52,
  "resonance_field": 0.82,
  "envelope_boundary": 0.44
}

Example 8 — Stability‑Coherence Resonance Ridge (R2 ↔ R3)#

Scenario
Computational stability reduces coherence while physical stability increases resonance sensitivity.

DRS Output

{
  "resonance_type": "amplification",
  "regime": "R2-R3",
  "resonance_magnitude": 0.86,
  "resonance_direction": "R2↔R3",
  "resonance_curvature": 0.62,
  "amplification_zone": 0.49,
  "resonance_field": 0.77,
  "envelope_boundary": 0.48
}

5. Resonance Vector Examples#

Example 9 — Cross‑Domain Resonance Vector (R1 ↔ R4)#

Scenario
A resonance vector forms between conceptual and dimensional regimes.

DRS Output

{
  "resonance_type": "vector",
  "regime": "R1-R4",
  "resonance_magnitude": 0.83,
  "resonance_direction": "R1↔R4",
  "resonance_curvature": 0.52,
  "amplification_zone": 0.22,
  "resonance_field": 0.69,
  "envelope_boundary": 0.46
}

Example 10 — Drift‑Sensitive Resonance Vector (R3 → R4)#

Scenario
Physical drift amplifies resonance curvature, forming a drift‑sensitive resonance vector.

DRS Output

{
  "resonance_type": "vector",
  "regime": "R3-R4",
  "resonance_magnitude": 0.91,
  "resonance_direction": "R3→R4",
  "resonance_curvature": 0.71,
  "amplification_zone": 0.52,
  "resonance_field": 0.82,
  "envelope_boundary": 0.44
}

6. Canonical DRS Output Snippet#

{
  "resonance_type": "vector",
  "regime": "R1-R4",
  "resonance_magnitude": 0.83,
  "resonance_direction": "R1↔R4",
  "resonance_curvature": 0.52,
  "amplification_zone": 0.22,
  "resonance_field": 0.69,
  "envelope_boundary": 0.46
}

Status#

Version: 1.0
Status: canon‑stable
Category: rtt‑resonance
Module Path: /docs/rtt/Dimensional_Resonance_Scanner/

Updated Jul 20, 2026