Regime Interlock Examples — RTT/1

Examples for the Regime Interlock Mapper (RIM)#

This document provides canonical RTT/1 examples of regime interlocks detected and analyzed by the Regime Interlock Mapper (RIM).
Each example demonstrates one or more RIM operators:

• RIM‑Detect
• RIM‑Map
• RIM‑Interlock
• RIM‑Boundary
• RIM‑Entangle
• RIM‑Resolve

Examples are grouped by interlock type.

1. Structural Interlock Examples#

Example 1 — Structural Constraint Pairing (R1 ↔ R2)#

Regimes:

• R1: Conceptual
• R2: Computational

Interlock:
A conceptual invariant (e.g., “symmetry must be preserved”) forces a computational constraint (e.g., “algorithm must maintain parity across iterations”).

RIM Output:

• interlock_type: structural
• interlock_strength: 0.82
• boundary_condition: symmetry‑preservation
• entanglement_score: 0.41

Explanation:
The conceptual rule directly shapes the computational structure, forming a stable structural interlock.

Example 2 — Structural Dependency Chain (R2 ↔ R3)#

Regimes:

• R2: Computational
• R3: Physical

Interlock:
A computational model requires physical calibration constants; the physical regime constrains the computational regime.

RIM Output:

• interlock_type: structural
• interlock_strength: 0.74
• boundary_condition: calibration‑dependency
• entanglement_score: 0.33

2. Boundary Interlock Examples#

Example 3 — Boundary Transition (R1 ↔ R3)#

Regimes:

• R1: Conceptual
• R3: Physical

Interlock:
A conceptual model transitions into a physical implementation at a defined boundary (e.g., “abstract force → measurable force”).

RIM Output:

• interlock_type: boundary
• interlock_strength: 0.67
• boundary_condition: abstraction‑to‑measurement
• entanglement_score: 0.22

Example 4 — Boundary Gradient (R2 ↔ R4)#

Regimes:

• R2: Computational
• R4: Dimensional

Interlock:
A computational gradient (e.g., increasing complexity) aligns with a dimensional gradient (e.g., increasing dimensional coherence).

RIM Output:

• interlock_type: boundary
• interlock_strength: 0.79
• boundary_condition: gradient‑alignment
• entanglement_score: 0.28

3. Entanglement Interlock Examples#

Example 5 — Mutual Influence Loop (R1 ↔ R2)#

Regimes:

• R1: Conceptual
• R2: Computational

Interlock:
Conceptual assumptions shape computational models, and computational outputs reshape conceptual assumptions.

RIM Output:

• interlock_type: entanglement
• interlock_strength: 0.91
• boundary_condition: mutual‑feedback
• entanglement_score: 0.88

Explanation:
This is a high‑entanglement interlock with bidirectional influence.

Example 6 — Cross‑Regime Entanglement (R3 ↔ R4)#

Regimes:

• R3: Physical
• R4: Dimensional

Interlock:
Physical resonance patterns influence dimensional coherence, and dimensional coherence alters physical resonance.

RIM Output:

• interlock_type: entanglement
• interlock_strength: 0.93
• boundary_condition: resonance‑coherence
• entanglement_score: 0.91

4. Gradient Interlock Examples#

Example 7 — Coherence Gradient (R1 ↔ R4)#

Regimes:

• R1: Conceptual
• R4: Dimensional

Interlock:
A conceptual coherence gradient aligns with a dimensional coherence gradient.

RIM Output:

• interlock_type: gradient
• interlock_strength: 0.76
• boundary_condition: coherence‑gradient
• entanglement_score: 0.35

Example 8 — Drift Gradient (R2 ↔ R3)#

Regimes:

• R2: Computational
• R3: Physical

Interlock:
Computational drift increases physical drift sensitivity.

RIM Output:

• interlock_type: gradient
• interlock_strength: 0.81
• boundary_condition: drift‑alignment
• entanglement_score: 0.47

5. Tensor Interlock Examples#

Example 9 — Coherence Tensor Interlock (R1 ↔ R2 ↔ R3)#

Regimes:

• R1: Conceptual
• R2: Computational
• R3: Physical

Interlock:
A multi‑regime coherence tensor binds conceptual, computational, and physical coherence.

RIM Output:

• interlock_type: tensor
• interlock_strength: 0.94
• boundary_condition: coherence‑tensor
• entanglement_score: 0.89

Example 10 — Dimensional Tensor Interlock (R2 ↔ R4)#

Regimes:

• R2: Computational
• R4: Dimensional

Interlock:
Dimensional tensors constrain computational pathways.

RIM Output:

• interlock_type: tensor
• interlock_strength: 0.88
• boundary_condition: dimensional‑tensor
• entanglement_score: 0.72

6. Example Matrix Snippet#

A typical entry in regime_interlock_matrix.json:

{
  "regime_a": "R2",
  "regime_b": "R3",
  "interlock_type": "gradient",
  "interlock_strength": 0.81,
  "boundary_condition": "drift-alignment",
  "entanglement_score": 0.47,
  "stability_rating": 0.63
}

7. Status#

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