# UTFANSWF Research Item 06 — Exact-Z6 / Projector–Dirac Uniqueness Closeout

Date: 2026-08-17/18 (America/New_York)

## Production isolation
- Frozen v23 canonical 18/18 PASS bundle was not modified.
- Protected `main.tex` / `main.pdf` were not modified.

## Exact Z6 result
The preserved executable construction passes the parent U(1)_X anomaly checks, required-operator allowance, dangerous DeltaB=1/2 operator rejection, EWSB-safe residual representative, and rank-3/rank-2 split. The exact residual rule is `DeltaB = 3*k`; isolated DeltaB=1 proton decay and DeltaB=2 baryon violation are forbidden. The first allowed baryon violation is DeltaB=3; the established EFT result places it first at dimension 15.

## Projector–Dirac uniqueness test
The frozen bridge uses

- `D_5 = mu P3`,
- `D_Sigma = mu P_comm`,
- `M_X = 5 g_I mu`.

The first two unit coefficients are a candidate mass law, not consequences of the projector identities. A direct constructive stress test replaces them by

`D_5 = a mu P3`, `D_Sigma = b mu P_comm`, with `a,b>0`.

All tested choices retain the same rank-3/rank-2 support, exact kernels, block symmetry and commuting/projector structure, while producing different

`M_HC/M_X = a/(5 g_I)` and `M_Sigma/M_X = b/(5 g_I)`.

Hence the structural projector algebra does not uniquely select `a=b=1`.

## Consequence for Item 03
Item 03's `sqrt(2)/5` heavy ratios remain a valid **conditional projector–Dirac-v0 candidate** result. They cannot be promoted to a uniquely forced UTFANSWF prediction from the currently declared public/native axioms.

The primitive `g_I^2=1/2` normalization is likewise still a bridge postulate/candidate, and the DeltaB=3 Wilson coefficient/scale is not fixed, so no trinucleon lifetime is claimed.

## Verdict
`PASS_EXACT_Z6_SELECTION_RULE__FAIL_UNIQUE_PROJECTOR_DIRAC_MASS_LAW__PRIVATE_CANDIDATE`
