# **Paradox Sources — RTT/1**  
### *Source Dictionary for the Paradox Gradient Analyzer (PGA)*

Paradox sources are the **origin points** from which paradox gradients emerge.  
They represent contradictions, conflicts, or destabilizing conditions across conceptual, computational, physical, and dimensional regimes.

These sources feed directly into:

- **PGA‑Detect**  
- **PGA‑Source**  
- **PGA‑Gradient**  
- **PGA‑Intensity**  
- **PGA‑Field**  
- **PGA‑Resolve**

Each paradox source includes:  
- **definition**  
- **diagnostic markers**  
- **onset conditions**  
- **example signatures**  
- **canonical PGA output pattern**

---

## **1. Structural Paradox Sources**

### **Source: Symmetry‑Violation Paradox**
**Definition**  
A structural invariant (e.g., symmetry, conservation, monotonicity) is violated by a downstream regime.

**Diagnostic Markers**
- broken invariants  
- structural contradiction  
- low drift, high coherence dependency  

**Onset Conditions**
- algorithmic asymmetry  
- structural misalignment  
- constraint violation  

**Example Signature**
`R1 symmetry rule ↔ R2 asymmetric iteration`

---

### **Source: Calibration‑Contradiction Paradox**
**Definition**  
A computational model requires calibration constants that contradict physical measurements.

**Diagnostic Markers**
- calibration mismatch  
- measurement conflict  
- medium drift sensitivity  

**Onset Conditions**
- model‑measurement divergence  
- unstable calibration envelope  

**Example Signature**
`R2 model ↔ R3 measurement`

---

## **2. Gradient Paradox Sources**

### **Source: Coherence‑Gradient Opposition**
**Definition**  
Two regimes exhibit coherence gradients that oppose each other.

**Diagnostic Markers**
- coherence ridge inversion  
- gradient opposition  
- medium‑high intensity  

**Onset Conditions**
- conceptual coherence ↑  
- dimensional coherence ↓  

**Example Signature**
`R1 coherence ↑ ↔ R4 coherence ↓`

---

### **Source: Drift‑Gradient Inversion**
**Definition**  
Drift decreases in one regime while increasing in another.

**Diagnostic Markers**
- drift curvature  
- instability ridge  
- high paradox basin depth  

**Onset Conditions**
- computational drift ↓  
- physical drift sensitivity ↑  

**Example Signature**
`R2 drift ↓ ↔ R3 drift sensitivity ↑`

---

## **3. Boundary Paradox Sources**

### **Source: Abstraction‑Measurement Paradox**
**Definition**  
An abstract conceptual model predicts behavior that contradicts physical measurement.

**Diagnostic Markers**
- abstraction boundary curvature  
- measurement conflict  
- medium intensity  

**Onset Conditions**
- conceptual model → physical implementation  
- measurement deviation  

**Example Signature**
`R1 abstraction ↔ R3 measurement`

---

### **Source: Gradient‑Boundary Paradox**
**Definition**  
A gradient alignment across regimes produces contradictory outcomes.

**Diagnostic Markers**
- aligned gradients  
- contradictory outputs  
- medium‑high intensity  

**Onset Conditions**
- computational gradient ↔ dimensional gradient  
- outcome divergence  

**Example Signature**
`R2 gradient ↔ R4 gradient`

---

## **4. Tensor Paradox Sources**

### **Source: Coherence Tensor Paradox**
**Definition**  
A multi‑regime coherence tensor binds regimes, but one regime violates tensor constraints.

**Diagnostic Markers**
- tensor curvature  
- coherence dependency  
- high intensity  

**Onset Conditions**
- tensor binding  
- coherence violation  

**Example Signature**
`R1 ↔ R2 ↔ R3 coherence tensor`

---

### **Source: Dimensional Tensor Paradox**
**Definition**  
Dimensional tensors constrain computational pathways, but computational coherence violates tensor alignment.

**Diagnostic Markers**
- tensor constraint  
- coherence misalignment  
- medium‑high intensity  

**Onset Conditions**
- dimensional tensor  
- computational violation  

**Example Signature**
`R2 ↔ R4 dimensional tensor`

---

## **5. Drift‑Induced Paradox Sources**

### **Source: Drift‑Amplification Paradox**
**Definition**  
Drift in one regime amplifies drift curvature in another, forming a paradox basin.

**Diagnostic Markers**
- drift amplification  
- basin formation  
- high intensity  

**Onset Conditions**
- physical drift ↑  
- dimensional drift curvature ↑  

**Example Signature**
`R3 drift ↑ ↔ R4 drift curvature ↑`

---

### **Source: Drift‑Coherence Paradox**
**Definition**  
Drift reduces coherence in one regime while increasing coherence sensitivity in another.

**Diagnostic Markers**
- coherence curvature  
- drift‑coherence conflict  
- medium‑high intensity  

**Onset Conditions**
- computational drift ↓  
- physical coherence sensitivity ↑  

**Example Signature**
`R2 drift ↓ ↔ R3 coherence sensitivity ↑`

---

## **6. Canonical PGA Output Pattern**

```json
{
  "paradox_source": "coherence-gradient-opposition",
  "regime": "R1-R4",
  "gradient_magnitude": 0.83,
  "gradient_direction": "R1↔R4",
  "intensity": 0.77,
  "field_curvature": 0.51,
  "basin_depth": 0.69,
  "stability_rating": 0.46
}
```

---

## **Status**

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