# UTFANSWF 1/137 — Native Route Exhaustion / One-Modulus Checkpoint
Date: 2026-08-18
Scope: private blind research only. Public/production UTFANSWF predictions remain unchanged.

## Blind contract
- No measured electromagnetic alpha used as a solve input.
- No inverse-137 target fitting.
- No hidden endpoint calibration.
- No double counting.
- No alteration of currently posted UTFANSWF predictions to rescue 1/137.
- Global/system-wide closure preferred over local residual patches.

## 1. Low-energy absolute GRIFFIN route — CLOSED
The simultaneous full-source GRIFFIN solve requiring MW=80.3393636 GeV and s_eff^2=0.23153 has the unique root:
    alpha^-1 = 130.85240559668875
    Delal_required = 0.01784576967568232.

The independently fixed leading leptonic vacuum-polarization block alone is:
    Delta_alpha_lep(A) = 4.305798264179623 / A,
giving at that root:
    Delta_alpha_lep = 0.032905763134771.

Since GRIFFIN Delal is the total lepton + quark/hadron Delta-alpha, the leptonic contribution alone exceeds the entire required total by 84.39%, before adding any positive hadronic contribution.

Verdict:
    CLEAN_FAIL_LOW_ENERGY_ABSOLUTE_GRIFFIN__LEPTONIC_LOWER_BOUND_VIOLATION

## 2. SANSWF charged Dirac / heat-kernel route — CLOSED AS ABSOLUTE SELECTOR
The native charged state space and heat-kernel trace fix:
    d alpha_i^-1 / d ln(mu) = -b_i/(2*pi)
and the three-generation charged-matter source:
    s_Dirac = (2/pi)(1,1,1).

This fixes the slope/running of inverse coupling, not the integration constant.

The saved no-double-count audit proves that identifying tau with log scale makes this source precisely the ordinary SM/MSSM matter RG contribution. Adding it separately double-counts.

The surviving finite emergence matching supplies only:
    delta_i^match
on top of an already normalized UV boundary:
    alpha_i^-1(MX^-) = 8*pi*kappa_global + delta_i^match + Delta_i^heavy.

It therefore cannot select kappa_global.

The already-run blind emergence branch predicted:
    alpha_em^-1(MZ) = 126.67507566444708.

Verdict:
    CLEAN_FAIL_HEAT_KERNEL_AS_ABSOLUTE_KAPPA_SELECTOR__FIXES_SLOPE_NOT_INTERCEPT

## 3. Whole-stack kappa theorem
For every layer:
    S_n^(2)=-(kappa_n/4) Q_n(F_n).

Isometric NZ transfer plus action continuity forces:
    kappa_1 = ... = kappa_N = kappa_global > 0.

The stack incidence matrix has rank N-1, so one global null mode remains even after cycle closure.

With primitive charged-shell norm Z0=2:
    alpha_U^-1 = 8*pi*kappa_global.

Saved survival tests show that all of the following preserve or absorb arbitrary positive kappa:
- Parseval normalization,
- Chern/topological charge,
- reversible/isometric observer transfer,
- sectorwise action preservation,
- Gaussian/partition normalization,
- cycle closure,
- binary/Landauer ln2.

Verdict:
    CLEAN_NO_GO__CURRENT_STRUCTURAL_CONSTRAINTS_LEAVE_ONE_GLOBAL_MODULUS_KAPPA

## 4. Canonical action cross-sector audit
The canonical UTFANSWF action contains gravity and gauge sectors, but their coefficients are independent:
    (M_Pl^2/2) R
and
    -(1/4g_i^2) F_i^2.

No existing equation in the source equates their absolute normalizations.

The scalar-gauge portal
    -(c_phi_gamma/4 Lambda_phi) phi F^2
could shift gauge stiffness if phi has a vacuum value, but the framework does not independently fix the product
    c_phi_gamma * phi_star / Lambda_phi
as an absolute gauge-normalization datum.

The source applies stability/positivity guardrails, not a unique value.

The moduli-threshold equations constrain coupling differences:
    Delta_ij = alpha_i^-1 - alpha_j^-1.
A universal common shift cancels from Delta_ij, so threshold matching cannot by itself remove the kappa_global null direction.

Verdict:
    CLEAN_FAIL_EXISTING_CANONICAL_CROSS_SECTOR_TERMS_AS_UNIQUE_KAPPA_SELECTOR

## 5. Other already-audited global routes retained
- Geometry/minimax primitive alpha_U^-1=8*pi: MZ alpha^-1=127.297556383; Thomson=136.393056918; FAIL full 137.
- Free universal normalization control: alpha_U^-1≈24.32644, MZ alpha^-1≈121.975 and D6 proton lifetime collapse; CLEAN FAIL.
- UV minimal-SUSY-SU5 heavy-threshold closure: blocked/nonunique without independently fixed heavy boundaries.
- Heterotic/racetrack near-hits: demoted; microscopic asymmetric-Z3 operator selection/CFT coefficients and hierarchy are not independently derived.
- Minimal SUSY-SU5 gravity-gauge FRG: no physical nonzero interacting gauge fixed point for the native minimal matter content.
- Finite-history/emergence matching: CLEAN FAIL as full 1/137 closure.
- Primitive projector/Hodge routes: conditional/nonunique; no theorem fixing absolute normalization.
- Spectral-action entropy normalization and other discarded speculative residual routes are not active.

## 6. Current rigorous program verdict
    FAIL_UNIQUE_BLIND_1_OVER_137_DERIVATION
with qualifier:
    CURRENT_NATIVE_ROUTES_EXHAUSTED__ONE_GLOBAL_NORMALIZATION_MODULUS_REMAINS

This does NOT mean UTFANSWF is disproven.
It means the currently source-complete native framework fixes relative gauge structure, charge normalization, running, matching, and cross-layer inheritance, but does not contain an independent equation selecting the remaining absolute gauge-action multiplier.

The historical blind PRE checkpoint
    alpha^-1(0) = 137.03735243
remains a notable provenance clue but cannot be promoted because its exact generation handoff was not persisted.

## 7. What a legitimate future PASS requires
A future PASS must supply one genuinely independent inhomogeneous scalar equation for kappa_global, derived without electromagnetic holdout information. Examples of the required *type* of closure (not proposed fitted solutions) include:
- a fully derived microscopic gauge kinetic function with a uniquely stabilized modulus;
- independently fixed heavy boundary data that removes all UV threshold directions and also fixes the common normalization;
- an existing/new UTFANSWF cross-sector law tying gauge stiffness to a separately absolute, independently normalized quantity.

Any such candidate must be frozen before comparison to the Thomson holdout and must preserve the existing posted UTFANSWF predictions unless a contradiction is independently demonstrated.
