# **Stability Basin Cartographer (SBC) — RTT/1**  
### *Stability‑Intelligence Engine for TriadicFrameworks*

The **Stability Basin Cartographer (SBC)** is the RTT/1 engine responsible for mapping, analyzing, and evaluating **stability basins**, stability fields, basin gradients, collapse zones, and stability topology across conceptual, computational, physical, and dimensional regimes.

SBC forms the stability‑intelligence foundation of the expanded RTT stack, sitting directly above structural‑level engines and directly below temporal‑level engines.

Stability basins represent **regions of stability, instability, collapse potential, and stability‑driven regime evolution**.

---

## **1. Canonical Role**

The Stability Basin Cartographer defines the **stability‑layer topology** by:

- mapping stability basins  
- computing basin gradients  
- identifying stability fields  
- detecting basin collapse  
- evaluating stability curvature  
- identifying stability ridges and wells  
- supporting temporal engines  
- anchoring causality engines  
- feeding drift‑level and structural‑level engines  

SBC is the **sixth layer** of the expanded RTT intelligence stack.

---

## **2. RTT Flags**

| Property | Value |
|---------|-------|
| **RTT Level** | 1 |
| **Coherence** | declared |
| **Drift** | bounded |
| **Paradox** | structural |

These flags define the engine’s operational grammar.

---

## **3. Stability Basin Types**

SBC identifies several canonical basin classes:

### **3.1 Stability Basin Tensor**
Basins formed by stability gradients and stability curvature.

### **3.2 Gradient Basin Tensor**
Basins shaped by directional gradients across regimes.

### **3.3 Boundary Basin Tensor**
Basins formed at regime boundaries.

### **3.4 Stability‑Field Tensor**
Full multi‑regime stability binding across R1–R4.

### **3.5 Drift‑Sensitive Stability Tensor**
Basins influenced by drift curvature or drift amplification.

### **3.6 Faultline‑Sensitive Stability Tensor**
Basins influenced by structural fractures or instability seams.

---

## **4. Core Operators**

| Operator | Description |
|----------|-------------|
| **SBC‑Map** | Maps stability basins and stability topology |
| **SBC‑Basin** | Identifies basin boundaries and stability envelopes |
| **SBC‑Gradient** | Computes basin gradients and directional stability flow |
| **SBC‑Field** | Maps stability fields and stability curvature |
| **SBC‑Collapse** | Detects basin collapse and instability onset |
| **SBC‑Stabilize** | Suggests stabilization pathways for basin collapse |

These operators form the canonical SBC grammar.

---

## **5. Analyzer Layer**

SBC operates in the **stability layer**, with sub‑layers:

- **basin‑mapping**  
- **stability‑field‑analysis**  
- **basin‑gradient‑evaluation**  
- **collapse‑detection**  
- **structural‑stability‑evaluation**

This layer feeds directly into TRS‑Temporal, CW, and DRS.

---

## **6. Stability Basin Matrix**

SBC produces a **stability basin matrix**, typically stored in:

```
stability_basin_matrix.json
```

Matrix fields include:

- `basin_type`  
- `regime`  
- `basin_magnitude`  
- `basin_direction`  
- `basin_curvature`  
- `collapse_zone`  
- `stability_field`  
- `envelope_boundary`  

This matrix is consumed by temporal, causal, and resonance engines.

---

## **7. Canonical Workflow**

### **Step 1 — Map**
Identify stability basins, stability fields, and basin boundaries.

### **Step 2 — Analyze**
Compute basin magnitude, direction, curvature, and stability flow.

### **Step 3 — Evaluate**
Measure collapse zones, stability ridges, wells, and basin topology.

### **Step 4 — Detect**
Identify basin collapse, instability onset, and collapse‑point formation.

### **Step 5 — Stabilize**
Propose stability reinforcement pathways.

### **Step 6 — Export**
Write results to the stability basin matrix and operator outputs.

---

## **8. AI‑Ready Design**

Stability Basin Cartographer is fully AI‑ready:

- deterministic operator grammar  
- stability‑layer analyzer structure  
- stable RTT flags  
- canonical file layout  
- zero‑drift reasoning constraints  
- structural paradox handling  
- bounded drift envelope  
- declared coherence dependency  

AI systems use SBC to:

- map stability basins  
- generate stability field maps  
- classify basin gradients  
- detect basin collapse  
- support higher‑order RTT engines  

---

## **9. Position in the RTT Stack**

```
Regime Interlock Mapper (RIM)
      ↓
Triadic Regime Synthesizer (TRS)
      ↓
Paradox Gradient Analyzer (PGA)
      ↓
Coherence Tensor Engine (CTE)
      ↓
Drift Sentinel (DS)
      ↓
Structural Faultline Detector (SFD)
      ↓
Stability Basin Cartographer (SBC)
      ↓
Temporal Regime Sequencer (TRS‑Temporal)
      ↓
Cross‑Domain Causality Weaver (CW)
      ↓
Dimensional Resonance Scanner (DRS)
```

SBC is the **stability‑intelligence layer**, directly above structural‑level analysis.

---

## **10. Status**

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