feat: Add Study Insights module (SYS_16) for physics visualizations

Introduces a new plugin architecture for study-specific physics
visualizations, separating "optimizer perspective" (Analysis) from
"engineer perspective" (Insights).

New module: optimization_engine/insights/
- base.py: StudyInsight base class, InsightConfig, InsightResult, registry
- zernike_wfe.py: Mirror WFE with 3D surface and Zernike decomposition
- stress_field.py: Von Mises stress contours with safety factors
- modal_analysis.py: Natural frequencies and mode shapes
- thermal_field.py: Temperature distribution visualization
- design_space.py: Parameter-objective landscape exploration

Features:
- 5 insight types: zernike_wfe, stress_field, modal, thermal, design_space
- CLI: python -m optimization_engine.insights generate <study>
- Standalone HTML generation with Plotly
- Enhanced Zernike viz: Turbo colorscale, smooth shading, 0.5x AMP
- Dashboard API fix: Added include_coefficients param to extract_relative()

Documentation:
- docs/protocols/system/SYS_16_STUDY_INSIGHTS.md
- Updated ATOMIZER_CONTEXT.md (v1.7)
- Updated 01_CHEATSHEET.md with insights section

Tools:
- tools/zernike_html_generator.py: Standalone WFE HTML generator
- tools/analyze_wfe.bat: Double-click to analyze OP2 files

🤖 Generated with [Claude Code](https://claude.com/claude-code)

Co-Authored-By: Claude Opus 4.5 <noreply@anthropic.com>

.claude/ATOMIZER_CONTEXT.md

@@ -51,6 +51,7 @@ Use keyword matching to load appropriate context:
 | Analyze results | "results", "best", "Pareto", "analyze" | OP_04 | Generate analysis |
 | Neural acceleration | "neural", "surrogate", "turbo", "NN" | SYS_14 + SYS_15 | Method selection |
 | NX/CAD help | "NX", "model", "mesh", "expression" | MCP + nx-docs | Use Siemens MCP |
+| Physics insights | "zernike", "stress view", "insight" | SYS_16 | Generate insights |
 | Troubleshoot | "error", "failed", "fix", "debug" | OP_06 | Diagnose issues |
 
 ---
@@ -86,22 +87,46 @@ cd atomizer-dashboard && npm run dev     # Start at http://localhost:3003
 
 ### Study Structure (100% standardized)
 
+**Studies are organized by geometry type**:
 ```
-study_name/
+studies/
+├── M1_Mirror/                    # Mirror optimization studies
+│   ├── m1_mirror_adaptive_V14/
+│   ├── m1_mirror_cost_reduction_V3/
+│   └── m1_mirror_cost_reduction_V4/
+├── Simple_Bracket/               # Bracket studies
+├── UAV_Arm/                      # UAV arm studies
+├── Drone_Gimbal/                 # Gimbal studies
+├── Simple_Beam/                  # Beam studies
+└── _Other/                       # Test/experimental studies
+```
+
+**Individual study structure**:
+```
+studies/{geometry_type}/{study_name}/
 ├── optimization_config.json    # Problem definition
 ├── run_optimization.py         # FEA optimization script
 ├── run_nn_optimization.py      # Neural acceleration (optional)
+├── README.md                   # MANDATORY documentation
+├── STUDY_REPORT.md             # Results template
 ├── 1_setup/
 │   └── model/
 │       ├── Model.prt           # NX part file
 │       ├── Model_sim1.sim      # NX simulation
 │       └── Model_fem1.fem      # FEM definition
-└── 2_results/
-    ├── study.db                # Optuna database
-    ├── optimization.log        # Logs
-    └── turbo_report.json       # NN results (if run)
+├── 2_iterations/               # FEA trial folders (iter1, iter2, ...)
+├── 3_results/
+│   ├── study.db                # Optuna database
+│   ├── optimization.log        # Logs
+│   └── turbo_report.json       # NN results (if run)
+└── 3_insights/                 # Study Insights (SYS_16)
+    ├── zernike_*.html          # Zernike WFE visualizations
+    ├── stress_*.html           # Stress field visualizations
+    └── design_space_*.html     # Parameter exploration
 ```
 
+**IMPORTANT**: When creating a new study, always place it under the appropriate geometry type folder!
+
 ### Available Extractors (SYS_12)
 
 | ID | Physics | Function | Notes |
@@ -141,6 +166,7 @@ study_name/
 │ SYS_10: IMSO (single-obj)    SYS_11: Multi-objective           │
 │ SYS_12: Extractors           SYS_13: Dashboard                  │
 │ SYS_14: Neural Accel         SYS_15: Method Selector            │
+│ SYS_16: Study Insights                                          │
 └─────────────────────────────────────────────────────────────────┘
                               ▼
 ┌─────────────────────────────────────────────────────────────────┐
@@ -411,7 +437,7 @@ python -m optimization_engine.auto_doc templates
 
 | Component | Version | Last Updated |
 |-----------|---------|--------------|
-| ATOMIZER_CONTEXT | 1.6 | 2025-12-12 |
+| ATOMIZER_CONTEXT | 1.7 | 2025-12-20 |
 | BaseOptimizationRunner | 1.0 | 2025-12-07 |
 | GenericSurrogate | 1.0 | 2025-12-07 |
 | Study State Detector | 1.0 | 2025-12-07 |
@@ -423,6 +449,7 @@ python -m optimization_engine.auto_doc templates
 | Auto-Doc Generator | 1.0 | 2025-12-07 |
 | Subagent Commands | 1.0 | 2025-12-07 |
 | FEARunner Pattern | 1.0 | 2025-12-12 |
+| Study Insights | 1.0 | 2025-12-20 |
 
 ---