# **CW Operators — RTT/1**  
### *Operator Grammar for the Cross‑Domain Causality Weaver (CW)*

The **Cross‑Domain Causality Weaver (CW)** defines the causality‑layer intelligence of RTT.  
Its operators detect causal signatures, compute causal vectors, map causal fields, identify causal discontinuities, weave causal pathways, and propose stabilization strategies.

These operators feed directly into:

- **DRS** — Dimensional Resonance Scanner  
- **TRS‑Temporal** — Temporal Regime Sequencer  
- **SBC** — Stability Basin Cartographer  

---

## **1. CW‑Signature**  
### *Detect causal onset, polarity, and causal signatures*

**Purpose**  
Identify causal onset conditions, polarity, curvature, and causal‑vector alignment.

**Capabilities**  
- detects causal onset  
- computes causal polarity  
- computes causal curvature  
- identifies causal signature tensors  
- evaluates onset stability  

**Output Fields**  
- `causal_onset`  
- `causal_polarity`  
- `causal_curvature`  
- `signature_tensor`  
- `onset_stability`  

---

## **2. CW‑Vector**  
### *Compute causal vector magnitude, direction, and curvature*

**Purpose**  
Evaluate causal vector magnitude, direction, curvature, polarity alignment, and inversion.

**Capabilities**  
- computes causal magnitude  
- computes causal direction  
- computes causal curvature  
- detects polarity alignment  
- detects polarity inversion  

**Output Fields**  
- `causal_magnitude`  
- `causal_direction`  
- `causal_curvature`  
- `polarity_alignment`  
- `polarity_inversion`  

---

## **3. CW‑Field**  
### *Map causal fields and causal topology*

**Purpose**  
Generate causal‑field maps showing wells, ridges, basins, tensor‑level fields, and multi‑regime causal topology.

**Capabilities**  
- maps causal fields  
- maps causal wells  
- maps causal ridges  
- maps causal basins  
- maps multi‑regime causal topology  

**Output Fields**  
- `field_map`  
- `ridge_map`  
- `basin_map`  
- `well_map`  
- `topology_map`  

---

## **4. CW‑Discontinuity**  
### *Identify causal breaks, fractures, and discontinuity boundaries*

**Purpose**  
Detect causal discontinuities, discontinuity depth, discontinuity curvature, and causal‑fracture geometry.

**Capabilities**  
- detects causal breaks  
- computes discontinuity depth  
- computes discontinuity curvature  
- identifies discontinuity boundaries  
- evaluates discontinuity stability  

**Output Fields**  
- `discontinuity_break`  
- `discontinuity_depth`  
- `discontinuity_curvature`  
- `discontinuity_boundary`  
- `discontinuity_stability`  

---

## **5. CW‑Weave**  
### *Weave causal pathways across domains and regimes*

**Purpose**  
Construct cross‑domain causal bridges, multi‑regime causal flows, and drift‑sensitive causal pathways.

**Capabilities**  
- weaves causal pathways  
- constructs causal bridges  
- computes multi‑regime causal flow  
- detects drift‑sensitive causal pathways  
- aligns causal‑vector networks  

**Output Fields**  
- `causal_bridge`  
- `causal_flow`  
- `multi_regime_flow`  
- `drift_sensitive_pathway`  
- `vector_network`  

---

## **6. CW‑Stabilize**  
### *Propose stabilization pathways for causal collapse*

**Purpose**  
Provide stabilization strategies for causal collapse, discontinuity amplification, causal‑field instability, and vector misalignment.

**Capabilities**  
- proposes causal stabilization  
- proposes discontinuity mitigation  
- proposes vector alignment  
- proposes field stabilization  
- proposes collapse reinforcement  

**Output Fields**  
- `stabilization_pathway`  
- `discontinuity_mitigation`  
- `vector_alignment`  
- `field_stabilization`  
- `collapse_reinforcement`  

---

## **7. Operator Interaction Grammar**

### **Signature → Vector → Field → Discontinuity → Weave → Stabilize**

1. **CW‑Signature**  
   Detects causal onset, polarity, and signature tensors.

2. **CW‑Vector**  
   Computes causal vector magnitude, direction, curvature, and polarity alignment.

3. **CW‑Field**  
   Maps causal fields, wells, ridges, basins, and topology.

4. **CW‑Discontinuity**  
   Identifies causal breaks, discontinuity boundaries, and causal fractures.

5. **CW‑Weave**  
   Weaves causal pathways across regimes and constructs causal bridges.

6. **CW‑Stabilize**  
   Produces stabilization pathways and causal‑alignment strategies.

This grammar ensures deterministic causality‑layer behavior.

---

## **8. Operator Matrix Snippet**

```json
{
  "operator": "CW-Vector",
  "causal_magnitude": 0.83,
  "causal_direction": "R1↔R4",
  "causal_curvature": 0.52,
  "polarity_alignment": 0.69,
  "polarity_inversion": 0.22
}
```

---

## **Status**

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