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.

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.

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.

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.

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.

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.

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.

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.

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.

Status#

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