# UTFANSWF v21 — Row 20 Joint Residual Minimap

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

## Residual vector

| Node | Pull σ | Sign | Role |
|---|---:|---:|---|
| CMB_ell_A | 4.411555 | + | early acoustic anchor |
| SN_z0_35_pivot | -3.719650 | - | late distance curvature pivot |
| BAO_z0_706_H | 1.716363 | + | radial bridge |
| BAO_z0_706_D_M | -1.268904 | - | transverse bridge |
| SH0ES_overlay | -5.423077 | - | late ladder overlay |

## Coupling tests

| Quantity | Value |
|---|---:|
| BAO H-D_M gap σ | 2.985267 |
| BAO z≈0.706 combined χ² | 7.440026 |
| ell_A fractional shift | 1.302079645e-03 |
| resolution status | single_axis_resolution_unlikely |

## Interpretation

- This minimap tests whether a single monotonic mapping axis can reduce the dominant H0-related residuals together.
- Major residuals have opposing signs; a single monotonic mapping correction is unlikely to reduce all stresses simultaneously.
- BAO z≈0.706 has opposite-sign H and D_M pulls, indicating a radial/transverse bridge split.
- CMB ell_A and SN pivot pull in opposite signs, meaning early anchor and late curvature do not move together under a simple offset.
- The BAO bridge gap exceeds 2 sigma and must be resolved or formally attributed before an H0-resolution claim is publishable.
- A true solution now requires a nontrivial existing-v21 mapping relation that can reduce ell_A, SN pivot curvature, and BAO radial/transverse split without new freedom.

## Verdict

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