# TRS Operators — RTT/1  
### *Operator Grammar for the Triadic Regime Synthesizer (TRS)*

The **Triadic Regime Synthesizer (TRS)** defines the **regime‑layer intelligence** of RTT.  
Its operators detect regime signatures, analyze boundaries, map interlocks, compute synthesis tensors, harmonize regime interactions, and resolve structural conflicts.

TRS outputs feed directly into:

- **PGA** — Paradox Gradient Analyzer  
- **CTE** — Coherence Tensor Engine  
- **DS** — Drift Sentinel  
- **SFD** — Structural Faultline Detector  
- **SBC** — Stability Basin Cartographer  
- **TRS‑Temporal**, **CW**, **DRS**

---

## 1. TRS‑Synthesize  
### *Synthesize regime structures into unified forms*

**Purpose**  
Compute regime synthesis tensors and unify regime structures across R1–R4.

**Capabilities**  
- identifies regime signatures  
- computes synthesis magnitude  
- computes synthesis direction  
- computes synthesis curvature  
- evaluates synthesis stability  

**Output fields**  
- `synthesis_magnitude`  
- `synthesis_direction`  
- `synthesis_curvature`  
- `synthesis_stability`  
- `synthesis_tensor`  

---

## 2. TRS‑Merge  
### *Merge regime boundaries and interlock regions*

**Purpose**  
Integrate compatible boundaries and interlock zones into merged regime structures.

**Capabilities**  
- detects boundary compatibility  
- merges boundary segments  
- merges interlock arcs  
- computes merge curvature  
- evaluates merge stability  

**Output fields**  
- `merged_boundary`  
- `merged_interlock`  
- `merge_curvature`  
- `merge_stability`  
- `merge_tensor`  

---

## 3. TRS‑Harmonize  
### *Harmonize regime interactions and transitions*

**Purpose**  
Align regime interactions, smooth transitions, and reduce conflict across R1–R4.

**Capabilities**  
- harmonizes regime flows  
- aligns regime polarity  
- smooths transition curvature  
- computes harmonization strength  
- evaluates harmonization stability  

**Output fields**  
- `harmonization_flow`  
- `harmonization_polarity`  
- `harmonization_curvature`  
- `harmonization_strength`  
- `harmonization_stability`  

---

## 4. TRS‑Boundary  
### *Analyze regime boundary stability and fusion potential*

**Purpose**  
Evaluate boundary stability, curvature, fusion depth, and drift‑sensitive behavior.

**Capabilities**  
- computes boundary stability  
- computes boundary curvature  
- detects boundary inversion  
- evaluates fusion potential  
- evaluates drift sensitivity  

**Output fields**  
- `boundary_stability`  
- `boundary_curvature`  
- `boundary_inversion`  
- `fusion_potential`  
- `boundary_drift_sensitivity`  

---

## 5. TRS‑Tensor  
### *Compute regime synthesis tensors*

**Purpose**  
Produce tensor‑level representations of regime synthesis, interlocks, and coherence fields.

**Capabilities**  
- computes synthesis tensors  
- computes interlock tensors  
- computes coherence tensors  
- evaluates tensor curvature  
- evaluates tensor stability  

**Output fields**  
- `synthesis_tensor`  
- `interlock_tensor`  
- `coherence_tensor`  
- `tensor_curvature`  
- `tensor_stability`  

---

## 6. TRS‑Resolve  
### *Resolve structural regime conflicts*

**Purpose**  
Identify conflicts between regimes and propose synthesis‑level structural resolutions.

**Capabilities**  
- detects regime conflicts  
- classifies conflict polarity  
- computes conflict curvature  
- proposes resolution pathways  
- evaluates resolution stability  

**Output fields**  
- `conflict_map`  
- `conflict_polarity`  
- `conflict_curvature`  
- `resolution_pathway`  
- `resolution_stability`  

---

## 7. Operator interaction grammar

### Synthesize → Merge → Boundary → Tensor → Harmonize → Resolve

1. **TRS‑Synthesize**  
   Builds initial synthesis tensors and regime‑level structures.

2. **TRS‑Merge**  
   Integrates boundaries and interlocks into merged forms.

3. **TRS‑Boundary**  
   Evaluates boundary stability, curvature, and fusion potential.

4. **TRS‑Tensor**  
   Produces tensor‑level regime representations.

5. **TRS‑Harmonize**  
   Aligns regime interactions and smooths transitions.

6. **TRS‑Resolve**  
   Identifies conflicts and proposes structural resolutions.

This grammar defines deterministic regime‑layer behavior for RTT/1.

---

## 8. Operator matrix snippet

```json
{
  "operator": "TRS-Synthesize",
  "synthesis_magnitude": 0.83,
  "synthesis_direction": "R1↔R4",
  "synthesis_curvature": 0.52,
  "fusion_depth": 0.22,
  "coherence_field": 0.69,
  "boundary_stability": 0.46
}
```

---

## 9. Status

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