The Quantized Dimensional Ledger (QDL) program treats physical theory construction as a problem of structural admissibility, closure completion, numerical reconstruction, transformation governance, and residual survival. This document is a numerical companion ledger to the broader QDL research program. It is not a standalone proof of a theory of everything, and it does not supersede the dedicated pillar papers on spectrum selection, electroweak closure, flavor closure, SMEFT operator governance, classical gravity, or cosmological closure. The companion consolidates seven recurring numerical targets: α, G, Λ, mh, v, yf, θW. , G, , mₕ, v, yf, W. α, G, Λ, mh, v, yf, θW. For each target, it states the current QDL closure expression, present numerical status, and explicit residual pathway. The strongest current numerical reconstructions are the Higgs mass, effective weak mixing angle, and low-energy fine-structure constant: mhQDL≈125. 2 GeV, mₕ^ QDL125. 2\ GeV, mhQDL≈125. 2 GeV, sin2θWQDL≈0. 23136, ²W^ QDL0. 23136, sin2θWQDL≈0. 23136, αQDL−1 (0) ≈137. 036. ₐ₃₋^-1 (0) 137. 036. αQDL−1 (0) ≈137. 036. The flavor sector uses the electroweak-flavor seed ρQDL=αsin2θW≈3. 15×10−2, ₐ₃₋=²W3. 1510^-2, ρQDL=sin2θWα≈3. 15×10−2, organizes charged-fermion Yukawa tiers through yfQDL=qfρQDLdf, yf^ QDL=qf ₐ₃₋^df, yfQDL=qfρQDLdf, and reconstructs Cabibbo leakage as λCQDL=54ρQDL≈0. 222. C^ QDL=54 ₐ₃₋0. 222. λCQDL=45ρQDL≈0. 222. The gravitational target is not raw dimensionful Newton’s constant, but the Planck–electroweak hierarchy variable γv=Gv2ℏc. ᵥ=Gv² c. γv=ℏcGv2. The cosmological target is not raw ΛΛ, but the Planck-normalized curvature residual λΛ=ΛℓP2. _=P². λΛ=ΛℓP2. A first horizon-screening ansatz gives HΛQDL≈121. 7, H_^ QDL121. 7, HΛQDL≈121. 7, and therefore ΛℓP2∼10−122, P²10^-122, ΛℓP2∼10−122, but this remains ansatz-level rather than a completed solution to the cosmological constant problem. The purpose of this companion is indexing and audit preparation. It classifies QDL numerical results as closure reconstructions, hierarchy reconstructions, ansatz-level proposals, audit targets, or open residuals. The central conclusion is disciplined: QDL has a connected first-pass numerical ledger for major targets of known physics, but the ledger is not yet a completed or independently validated final theory. The next task is to convert residual coefficients, projection factors, gravitational hierarchy terms, and cosmological screening expressions from compact reconstructions into theorem-level derivations and external audits.
James D. Bourassa (Fri,) studied this question.