QDL Electroweak Numerical Closure: Scheme-Declared Reconstructions of the Higgs Mass, Effective Weak Mixing Angle, Fine-Structure Constant, and Fermi Scale

The Quantized Dimensional Ledger (QDL) program treats physical theory construction as a problem of structural admissibility, closure completion, numerical reconstruction, and residual survival. This paper develops the electroweak numerical-closure sector of QDL in a scheme-declared and reproducible form. The aim is not to replace the Standard Model, precision electroweak fitting, quantum electrodynamics, or renormalization-group analysis. The aim is narrower: to test whether QDL closure principles select compact electroweak anchors and loop-sized residual coefficients that reconstruct measured electroweak quantities. The analysis begins with the Standard Model Higgs doublet and the residual electromagnetic ledger condition QEM = 0, which selects the neutral Higgs vacuum direction = (0, v) T / sqrt (2) as the unique vacuum preserving U (1) EM. The numerical core is lambda^ (0) = 1/8, yₜ^ (0) = 1, and sin² thetaW^ (0) = 1/4. The leading scalar anchor gives mₕ^ (0) = v/2. Using v = (sqrt (2) GF) ^ (-1/2), this gives mₕ^ (0) approximately 123. 11 GeV. The first-order QDL scalar residual is Cₗambda = (yₜ^ (0) ) ² - sin² thetaW^ (0) - lambda^ (0) + 1/18 = 49/72, so that lambdaQDL = 1/8 + 49/72 (16 pi²) and mₕQDL = v sqrt (2 lambdaQDL), giving mₕQDL approximately 125. 214 GeV. For the weak angle, QDL treats sin² thetaW^ (0) = 1/4 as a generator-balance anchor and reconstructs the effective leptonic weak mixing angle through sin² thetaₑff^ (l, QDL) = 1/4 - 53/18 (16 pi²), giving approximately 0. 231354. This paper identifies the weak-angle target as the effective leptonic electroweak angle, not the on-shell angle and not a scheme-independent universal number. The fine-structure constant is treated as a two-stage closure result: an electroweak-scale electromagnetic boundary plus low-energy charged-threshold screening. The low-energy inverse fine-structure constant is reconstructed through alphaQDL^ (-1) (0) = alphaQDL^ (-1) (MZ) + 9 + 1/27. With alphaQDL^ (-1) (MZ) = 127. 998962, QDL gives alphaQDL^ (-1) (0) = 137. 035999. The Fermi scale is not derived as an isolated dimensionful number. It is closed operationally through muon-decay measurement, v = (sqrt (2) GF) ^ (-1/2). The deeper dimensionless hierarchy target remains gammaᵥ = G v² / (hbar c). The paper classifies each result by claim status. The neutral Higgs vacuum selection is a structural derivation. The Higgs mass and effective weak-angle results are first-order closure reconstructions. The fine-structure result is a two-stage threshold reconstruction. The Fermi scale is an operational closure. The absolute origin of v, the full electroweak precision fit, complete running and matching, and the deeper derivation of the neutral matching unit 1/18 remain open residual layers. The contribution is bounded but concrete: QDL produces a compact, reproducible, scheme-declared first-pass electroweak closure package with explicit numerical residuals and falsification conditions. The central next test is to derive the residual coefficients from a pre-declared QDL electroweak matching theorem, or else downgrade them to numerical compression.