# UTFANSWF v21 — Bridge Theory Ownership Diagnostic

**Context:** DIAGNOSTIC_NON_GATING. No physics, thresholds, datasets, parameters, or gate verdicts changed.

## Bridge

| Quantity | Value |
|---|---:|
| bridge strength | 1.268904 |
| source | abs(BAO_D_M_z0_706_pull) |

## Group metrics

| Group | Original RSS | Transformed RSS | Improvement |
|---|---:|---:|---:|
| early/radial | 4.733679 | 3.174346 | 1.559333 |
| late/transverse | 6.697438 | 4.823205 | 1.874233 |
| balance ratio | | | 0.831985 |
| total RSS improvement | | | 2.427365 |

## Ownership tests

| Test | Pass |
|---|---:|
| BAO_DM_bridge_neutralized | True |
| layered_sign_structure_preserved | True |
| early_side_improves | True |
| late_side_improves | True |
| balanced_transfer_ratio_ge_0_25 | True |
| total_RSS_improvement_ge_2sigma | True |

Score: **6/6**

## Interpretation

- This test asks whether the BAO-D_M anchored bridge behaves like a lawful UTFANSWF layered transfer rather than an arbitrary correction.
- The bridge exactly neutralizes the transverse BAO D_M node, consistent with a geometry-anchored transfer.
- The bridge preserves the layered sign structure, so it does not erase the observed early/late split by force.
- Both early/radial and late/transverse RSS improve, supporting coupled-layer behavior.
- The transfer is not one-sided; both layer groups receive nontrivial improvement.
- This remains diagnostic. To become a solution, the bridge must be derived from an explicit UTFANSWF operator or mapping equation.

## Verdict

bridge_theory_ownership_strong_candidate; diagnostic only; no physics, thresholds, datasets, parameters, or gate verdicts changed.
