# **CTE Prompts — RTT/1**  
### *Prompt Library for the Coherence Tensor Engine*

These prompts are designed for **AI systems** using the Coherence Tensor Engine (CTE).  
Each prompt invokes one or more canonical CTE operators:

- **CTE‑Compute**  
- **CTE‑Tensor**  
- **CTE‑Gradient**  
- **CTE‑Field**  
- **CTE‑Collapse**  
- **CTE‑Stabilize**

Prompts are grouped by tensor type and operator class.

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## **1. Structural Coherence Prompts**

### **Prompt: Detect Structural Coherence Tensors**
> Use CTE‑Compute to identify structural coherence tensors formed by invariants, constraints, or monotonicity rules across R1–R3.

### **Prompt: Map Structural Coherence Fields**
> Apply CTE‑Field to generate structural coherence field maps showing curvature, ridge formation, and stability envelopes.

### **Prompt: Compute Structural Coherence Gradients**
> Use CTE‑Gradient to compute gradient magnitude, direction, and drift sensitivity for structural coherence tensors.

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## **2. Gradient Coherence Prompts**

### **Prompt: Identify Coherence Gradient Alignment**
> Use CTE‑Tensor to detect coherence gradients that align across regimes, forming coherence ridges or multi‑regime coherence pathways.

### **Prompt: Compute Coherence Gradient Vectors**
> Apply CTE‑Gradient to compute coherence gradient vectors, including magnitude, direction, curvature, and alignment.

### **Prompt: Analyze Gradient Stability**
> Use CTE‑Stabilize to evaluate stability envelopes for coherence gradients and propose stabilization pathways.

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## **3. Boundary Coherence Prompts**

### **Prompt: Detect Boundary Coherence Conditions**
> Use CTE‑Compute to identify coherence tensors formed at regime boundaries, including abstraction‑measurement and gradient‑boundary interactions.

### **Prompt: Map Boundary Coherence Curvature**
> Apply CTE‑Field to generate boundary coherence curvature maps showing ridge formation and collapse‑point onset.

### **Prompt: Evaluate Boundary Stability**
> Use CTE‑Stabilize to compute stability envelopes for boundary coherence tensors.

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## **4. Tensor‑Field Coherence Prompts**

### **Prompt: Detect Multi‑Regime Coherence Tensors**
> Use CTE‑Tensor to identify multi‑regime coherence tensors binding R1–R3 or R1–R4.

### **Prompt: Map Tensor‑Field Topology**
> Apply CTE‑Field to generate tensor‑field topology diagrams showing coherence wells, ridges, and multi‑regime curvature.

### **Prompt: Compute Tensor‑Field Gradient Strength**
> Use CTE‑Gradient to compute tensor gradient magnitude, direction, and coherence curvature.

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## **5. Drift‑Sensitive Coherence Prompts**

### **Prompt: Identify Drift‑Sensitive Coherence Tensors**
> Use CTE‑Compute to detect coherence tensors influenced by drift curvature or drift amplification.

### **Prompt: Map Drift‑Sensitive Coherence Basins**
> Apply CTE‑Field to generate drift‑sensitive coherence basin maps showing instability ridges and collapse‑point formation.

### **Prompt: Analyze Drift‑Coherence Stability**
> Use CTE‑Stabilize to compute stability envelopes for drift‑sensitive coherence tensors.

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## **6. Collapse‑Point Prompts**

### **Prompt: Detect Coherence Collapse Points**
> Use CTE‑Collapse to identify coherence collapse points and instability basins across R2–R4.

### **Prompt: Map Collapse Basin Geometry**
> Apply CTE‑Field to generate collapse basin topology showing curvature, depth, and coherence troughs.

### **Prompt: Propose Collapse Stabilization Pathways**
> Use CTE‑Stabilize to propose stabilization strategies for collapse‑point coherence tensors.

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## **7. Full‑Matrix Prompts**

### **Prompt: Generate Full Coherence Tensor Matrix**
> Use all CTE operators to produce a complete `coherence_tensor_matrix.json` containing structural, gradient, boundary, tensor‑field, drift‑sensitive, and collapse‑point entries.

### **Prompt: Analyze Coherence Field Topology**
> Apply CTE‑Field to generate a full coherence topology map showing fields, basins, curvature, and gradient flows.

### **Prompt: Stability Overview**
> Use CTE‑Stabilize to compute stability envelopes for every coherence tensor type and produce a coherence stability summary.

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## **8. AI‑Ready Meta‑Prompts**

### **Prompt: Explain Coherence Tensor Classification**
> Provide a detailed explanation of how CTE classifies coherence tensors into structural, gradient, boundary, tensor‑field, drift‑sensitive, and collapse‑point categories.

### **Prompt: Operator‑Level Summary**
> Summarize the role of each CTE operator and how they interact to produce coherence‑layer intelligence.

### **Prompt: Cross‑Engine Integration**
> Explain how CTE outputs feed into DS, SFD, SBC, TRS‑Temporal, CW, and DRS.

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## **Status**

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