The Quantized Dimensional Ledger as a Structural and Numerical Closure Program for Fundamental Physics: A Review and Roadmap for Spectrum, Constants, Operators, Gravity, Cosmology, and Residual Tests

This review and roadmap paper consolidates the present Quantized Dimensional Ledger (QDL) research program as a structural and numerical closure framework for fundamental physics. QDL treats physical theory construction as a problem of structural admissibility: a physical representation is admissible only if it possesses a ledger image, closes in a declared sector, preserves closure under admissible transformations, and survives residual testing. The paper is not presented as a completed theory of everything. Instead, it organizes the current QDL program across spectrum selection, electroweak numerical closure, flavor closure, SMEFT operator governance, classical gravitational closure, quantum-gravity benchmarks, cosmological closure, and residual testing. It distinguishes conditional derivations from reconstructions, hierarchy reconstructions, ansatz-level formulas, audit proposals, benchmark architectures, and open residuals. The synthesis is organized around seven numerical and structural targets: α,G,Λ,mh,v,yf,θW.\alpha,\quad G,\quad \Lambda,\quad m_h,\quad v,\quad y_f,\quad \theta_W .α,G,Λ,mh,v,yf,θW. These are not treated as isolated raw numbers. QDL treats them as dimensionless ratios, closure ledgers, hierarchy variables, or operationally defined quantities. The paper reviews first-pass QDL reconstructions of the Higgs mass, weak mixing angle, fine-structure constant, electroweak scale, flavor hierarchy, Newton coupling hierarchy, and cosmological constant scale, while explicitly identifying which components remain provisional. Major reviewed components include the conditional selection of the Standard Model gauge seed and one-generation chiral matter package; electroweak closure relations for mhm_hmh, sin⁡2θW\sin^2\theta_Wsin2θW, and α\alphaα; the flavor-rank result Ngen=3N_{\rm gen}=3Ngen=3; charged-fermion hierarchy organization through ρQDL=α/sin⁡2θW\rho_{\rm QDL}=\alpha/\sin^2\theta_WρQDL=α/sin2θW; SMEFT operator-governance as a modular anomalous-dimension matrix audit; classical general relativity as minimal closure-compatible metric dynamics; the gravitational QDC recovery a3n2=GMa^3n^2=GMa3n2=GM; and the cosmological target ΛℓP2\Lambda \ell_P^2ΛℓP2 as a horizon-screened curvature residual. The central claim is bounded: QDL is a structural and numerical closure program with explicit derivations, reconstructions, ansätze, open residuals, and falsifiable sector tests. Its next phase is independent audit, including SMEFT matrix validation, residual-coefficient uniqueness, common-scale flavor tests, precision electroweak matching, Planck–electroweak hierarchy hardening, and cosmological robustness checks.