# **Causal Profiles — RTT/1**  
### *Profile Dictionary for the Cross‑Domain Causality Weaver (CW)*

Causal profiles define the **canonical shapes, behaviors, discontinuity geometries, vector flows, and causal‑field interactions** across conceptual, computational, physical, and dimensional regimes.

These profiles are used by:

- **CW‑Signature**  
- **CW‑Vector**  
- **CW‑Field**  
- **CW‑Discontinuity**  
- **CW‑Weave**  
- **CW‑Stabilize**

Each profile includes:

- **definition**  
- **causal signature**  
- **field behavior**  
- **vector behavior**  
- **discontinuity geometry**  
- **propagation behavior**  
- **stability envelope**  
- **canonical CW output pattern**

---

## **1. Causal Signature Profiles**

### **Profile: Conceptual Causal Signature**
**Definition**  
A causal onset formed by conceptual coherence and low‑curvature conceptual structures.

**Causal Signature**
- low magnitude  
- stable polarity  
- shallow curvature  

**Field Behavior**
- narrow causal field  
- shallow ridge  

**Vector Behavior**
- low vector sensitivity  

**Discontinuity Geometry**
- shallow discontinuity zone  

**Propagation Behavior**
- low propagation rate  

**Stability Envelope**
- high stability  

---

### **Profile: Dimensional Causal Signature**
**Definition**  
A causal onset formed by dimensional constraints and high‑sensitivity causal polarity.

**Causal Signature**
- medium‑high magnitude  
- dimensional polarity  
- medium curvature  

**Field Behavior**
- medium‑wide field  
- dimensional ridge  

**Vector Behavior**
- medium vector sensitivity  

**Discontinuity Geometry**
- medium discontinuity depth  

**Propagation Behavior**
- medium propagation rate  

**Stability Envelope**
- medium stability  

---

## **2. Causal Vector Profiles**

### **Profile: Gradient Causal Vector**
**Definition**  
A causal vector formed when gradients across regimes oppose each other.

**Causal Signature**
- high magnitude  
- bidirectional polarity  
- high curvature  

**Field Behavior**
- wide causal field  
- ridge inversion  

**Vector Behavior**
- medium‑high vector sensitivity  

**Discontinuity Geometry**
- deep discontinuity zone  

**Propagation Behavior**
- medium propagation rate  

**Stability Envelope**
- medium stability  

---

### **Profile: Inversion Causal Vector**
**Definition**  
A causal vector formed when stability decreases in one regime while increasing in another.

**Causal Signature**
- medium‑high magnitude  
- inversion polarity  
- polarity flip  

**Field Behavior**
- medium field width  
- inversion curvature  

**Vector Behavior**
- high vector sensitivity  

**Discontinuity Geometry**
- medium‑deep discontinuity zone  

**Propagation Behavior**
- medium propagation rate  

**Stability Envelope**
- medium‑low stability  

---

## **3. Causal Field Profiles**

### **Profile: Multi‑Regime Causal Field**
**Definition**  
A multi‑regime causal tensor binding causal pathways across R1–R3 or R1–R4.

**Causal Signature**
- very high magnitude  
- tensor polarity  
- high curvature  

**Field Behavior**
- wide causal field  
- tensor topology  

**Vector Behavior**
- high vector sensitivity  

**Discontinuity Geometry**
- deep discontinuity zone  

**Propagation Behavior**
- medium‑high propagation rate  

**Stability Envelope**
- medium‑high stability  

---

### **Profile: Dimensional Causal Constraint**
**Definition**  
Dimensional constraints influence computational causal pathways.

**Causal Signature**
- high magnitude  
- dimensional → computational polarity  
- medium‑high curvature  

**Field Behavior**
- medium‑wide field  
- tensor trough  

**Vector Behavior**
- medium vector sensitivity  

**Discontinuity Geometry**
- medium‑deep discontinuity zone  

**Propagation Behavior**
- medium propagation rate  

**Stability Envelope**
- medium stability  

---

## **4. Causal Discontinuity Profiles**

### **Profile: Structural Causal Discontinuity**
**Definition**  
A causal discontinuity formed when conceptual abstraction contradicts physical measurement.

**Causal Signature**
- medium magnitude  
- abstraction → measurement polarity  
- boundary curvature  

**Field Behavior**
- narrow field  
- boundary ridge  

**Vector Behavior**
- low vector sensitivity  

**Discontinuity Geometry**
- shallow discontinuity zone  

**Propagation Behavior**
- low propagation rate  

**Stability Envelope**
- medium‑high stability  

---

### **Profile: Gradient‑Boundary Causal Discontinuity**
**Definition**  
Aligned gradients across regimes produce contradictory causal outcomes.

**Causal Signature**
- high magnitude  
- aligned polarity  
- medium curvature  

**Field Behavior**
- wide field  
- alignment trough  

**Vector Behavior**
- medium vector sensitivity  

**Discontinuity Geometry**
- medium‑deep discontinuity zone  

**Propagation Behavior**
- medium propagation rate  

**Stability Envelope**
- medium stability  

---

## **5. Causal Bridge Profiles**

### **Profile: Cross‑Domain Causal Bridge**
**Definition**  
A causal bridge formed between conceptual and dimensional regimes.

**Causal Signature**
- high magnitude  
- cross‑domain polarity  
- medium‑high curvature  

**Field Behavior**
- wide field  
- bridge topology  

**Vector Behavior**
- high vector sensitivity  

**Discontinuity Geometry**
- medium discontinuity depth  

**Propagation Behavior**
- medium propagation rate  

**Stability Envelope**
- medium‑high stability  

---

### **Profile: Drift‑Sensitive Causal Bridge**
**Definition**  
Physical drift amplifies causal curvature, forming a drift‑sensitive causal bridge.

**Causal Signature**
- very high magnitude  
- drift‑aligned polarity  
- high curvature  

**Field Behavior**
- wide drift field  
- drift ridge  

**Vector Behavior**
- very high vector sensitivity  

**Discontinuity Geometry**
- deep discontinuity seam  

**Propagation Behavior**
- high propagation rate  

**Stability Envelope**
- low stability  

---

## **6. Canonical CW Output Pattern**

```json
{
  "causal_type": "vector",
  "regime": "R1-R4",
  "causal_magnitude": 0.83,
  "causal_direction": "R1↔R4",
  "causal_curvature": 0.52,
  "discontinuity_depth": 0.22,
  "propagation_rate": 0.33,
  "stability_envelope": 0.69
}
```

---

## **Status**

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