# **Boundary Profiles — RTT/1**  
### *Regime Interlock Mapper (RIM) — Boundary Intelligence Layer*

Boundary profiles describe **how regimes meet, transition, or constrain one another**.  
They are the structural backbone of RIM’s boundary‑level analysis and feed directly into:

- **RIM‑Boundary**  
- **RIM‑Detect**  
- **RIM‑Map**  
- **RIM‑Interlock**  
- **RIM‑Resolve**

Each profile defines a **canonical boundary condition**, its **diagnostic markers**, and **example regime pairs**.

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## **1. Boundary Profile: Structural‑Constraint Boundary**

### **Definition**  
A boundary where one regime imposes a structural constraint on another.

### **Diagnostic Markers**
- rigid structural dependency  
- unidirectional constraint flow  
- low entanglement  
- high stability  

### **Example Regime Pairs**
- R1 → R2 (conceptual constraint → computational structure)  
- R2 → R3 (computational constraint → physical calibration)

### **RIM Output Pattern**
- `interlock_type`: boundary  
- `boundary_condition`: structural-constraint  
- `interlock_strength`: 0.70–0.85  
- `entanglement_score`: 0.20–0.40  

---

## **2. Boundary Profile: Gradient‑Alignment Boundary**

### **Definition**  
A boundary where gradients in two regimes align (directionally or in magnitude).

### **Diagnostic Markers**
- parallel gradients  
- directional coherence  
- medium entanglement  
- moderate stability  

### **Example Regime Pairs**
- R2 ↔ R4 (computational gradient ↔ dimensional gradient)  
- R1 ↔ R3 (conceptual gradient ↔ physical gradient)

### **RIM Output Pattern**
- `interlock_type`: boundary  
- `boundary_condition`: gradient-alignment  
- `interlock_strength`: 0.75–0.88  
- `entanglement_score`: 0.25–0.45  

---

## **3. Boundary Profile: Transition‑Boundary**

### **Definition**  
A boundary where a regime transitions into another (e.g., abstraction → implementation).

### **Diagnostic Markers**
- clear transition point  
- medium stability  
- low entanglement  
- boundary curvature present  

### **Example Regime Pairs**
- R1 → R3 (abstract model → physical implementation)  
- R2 → R4 (computational model → dimensional coherence)

### **RIM Output Pattern**
- `interlock_type`: boundary  
- `boundary_condition`: transition  
- `interlock_strength`: 0.60–0.75  
- `entanglement_score`: 0.15–0.30  

---

## **4. Boundary Profile: Drift‑Sensitivity Boundary**

### **Definition**  
A boundary where drift in one regime increases sensitivity in another.

### **Diagnostic Markers**
- drift amplification  
- instability ridge formation  
- medium entanglement  
- low stability  

### **Example Regime Pairs**
- R2 ↔ R3 (computational drift ↔ physical drift sensitivity)  
- R3 ↔ R4 (physical drift ↔ dimensional drift envelope)

### **RIM Output Pattern**
- `interlock_type`: boundary  
- `boundary_condition`: drift-sensitivity  
- `interlock_strength`: 0.72–0.84  
- `entanglement_score`: 0.30–0.50  

---

## **5. Boundary Profile: Coherence‑Threshold Boundary**

### **Definition**  
A boundary where coherence must exceed a threshold for regimes to interact.

### **Diagnostic Markers**
- coherence gating  
- threshold discontinuity  
- high stability  
- low drift  

### **Example Regime Pairs**
- R1 ↔ R2 (conceptual coherence ↔ computational coherence)  
- R2 ↔ R3 (computational coherence ↔ physical coherence)

### **RIM Output Pattern**
- `interlock_type`: boundary  
- `boundary_condition`: coherence-threshold  
- `interlock_strength`: 0.78–0.92  
- `entanglement_score`: 0.20–0.35  

---

## **6. Boundary Profile: Resonance‑Boundary**

### **Definition**  
A boundary where resonance in one regime influences resonance in another.

### **Diagnostic Markers**
- resonance amplification  
- resonance curvature  
- high entanglement  
- medium stability  

### **Example Regime Pairs**
- R3 ↔ R4 (physical resonance ↔ dimensional resonance)  
- R2 ↔ R4 (computational resonance ↔ dimensional resonance)

### **RIM Output Pattern**
- `interlock_type`: boundary  
- `boundary_condition`: resonance  
- `interlock_strength`: 0.80–0.95  
- `entanglement_score`: 0.40–0.70  

---

## **7. Boundary Profile Matrix Snippet**

A typical entry in `regime_interlock_matrix.json` for boundary profiles:

```json
{
  "regime_a": "R2",
  "regime_b": "R4",
  "interlock_type": "boundary",
  "boundary_condition": "gradient-alignment",
  "interlock_strength": 0.83,
  "entanglement_score": 0.32,
  "stability_rating": 0.71
}
```

---

## **8. Status**

- **Version:** 1.0  
- **Status:** canon‑stable  
- **Category:** rtt‑structural  
- **Module Path:** `/docs/rtt/Regime_Interlock_Mapper/`
