# E2E Report - Anderson W16.5 Closure Map

**Date**: 2026-05-29 21:31 UTC  
**Tool**: `tools/exp_boundary_anderson_w165_closure_map.py`  
**Output**: `tools/data/landing/boundary_anderson_w165_closure_map_20260529.json`  
**Status**: `w165_closure_map_not_claim`

## Question

Under which physical perturbations does W16.5 close while W20 remains the
robust reference?

## Result

```json
{
  "variant_count": 19,
  "w165_closure_count": 1,
  "w165_global_only_count": 0,
  "w165_state_counts": {
    "local_global": 1,
    "local_only": 7,
    "neither": 11
  },
  "w20_preservation_ratio": 0.947368421
}
```

## Closure Coordinate

Only one variant closes W16.5 as `local_global`:

```json
{
  "name": "tilt_-0.060",
  "hopping": "1,1,1",
  "onsite_tilt": -0.06,
  "W16.5": {
    "state": "local_global",
    "min_graph_bridge_frequency": 1.0,
    "classical_states_seen": ["classical_intermediate"],
    "size_states": {
      "5": "stable_graph_bridge+classical_intermediate",
      "6": "stable_graph_bridge+classical_intermediate",
      "7": "stable_graph_bridge+classical_intermediate"
    }
  }
}
```

This is the first clean W16.5 closure coordinate in the focused map.

## W20 Boundary Loss

Only one variant fails W20 preservation:

```json
{
  "name": "tilt_+0.100",
  "hopping": "1,1,1",
  "onsite_tilt": 0.10,
  "W20": {
    "state": "global_only",
    "min_graph_bridge_frequency": 0.5,
    "classical_states_seen": ["classical_intermediate"]
  }
}
```

Interpretation: strong positive tilt does not destroy the global intermediate
signature, but weakens graph bridge below the local threshold.

## Reading

The W16.5 transition is tilt-sensitive and asymmetric:

- negative tilt around `-0.06` can close W16.5 cleanly;
- positive tilt up to `+0.10` can weaken W20 local support;
- anisotropy combined with tilt did not produce a cleaner W16.5 closure in
  this sweep.

This is a map of a sensitive intermediate channel, not a promoted physical law.

## Verification

- `tools/exp_boundary_anderson_w165_closure_map.py` completed.
- `tools/lab_surface_invariant_check.py` PASS.
- No cron reactivation.
- No public sync.
- No physics-law promotion.

## Next Productive Move

Run a narrow high-rep confirmation around the negative-tilt closure coordinate:

- `onsite_tilt`: `-0.075, -0.070, -0.065, -0.060, -0.055, -0.050, -0.045`
- hopping fixed at `1,1,1`;
- increase reps and/or seeds;
- preserve W20 reference and check whether W16.5 closure persists or is a
  finite-seed artifact.