Dimensional Resonance Scanner Examples — RTT/1

Example Dictionary for the Dimensional Resonance Scanner (DRS)#

These examples illustrate how the Dimensional Resonance Scanner (DRS) detects resonance signatures, computes resonance frequencies, maps resonance fields, identifies amplification zones, and evaluates multi‑regime resonance gradients.

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 8, 2026