Vud and First-Row CKM Unitarity as a QMU Ledger Closure

This article reframes the first-row CKM unitarity test,\[|Vud|^2+|Vᵤₛ|^2+|Vub|^2=1,\]as a Quantum Measurement Units (QMU) ledger-closure identity in the Aether Physics Model (APM). In this framing, the quantities commonly called “mixing parameters” are treated as overlap invariants between quark packing states induced by a 5D-to-4D holonomy map. The squared moduli are completeness weights in the holonomy-induced inner product, so first-row unitarity becomes a basis-closure check rather than a postulate about an abstract matrix. The empirical anchor is the current data-facing closure target compiled by the Particle Data Group (PDG). Using representative PDG values,\[Vud=0.97367(32), Vᵤₛ=0.22431(85),\]with the contribution of |Vub|² negligible at the quoted precision, the first-row sum is reported as\[|Vud|^2+|Vᵤₛ|^2+|Vub|^2=0.9983(6)(4),\]corresponding to a residual\[Δrow1:=(|Vud|^2+|Vᵤₛ|^2+|Vub|^2)-1≈ -1.7× 10⁻³.\] The central methodological move is to rewrite the superallowed 0⁺→ 0⁺ beta-decay program in a ledger-first form. The observed constancy of corrected Ft values is treated as a vector-current closure statement under holonomy, with standard “radiative” and “nuclear-structure” terms reorganized into two reader-facing categories:\[B_V=Bₕₒₗ\;Bₘₐₚ,\]where Bₕₒₗ collects holonomy boundary terms and Bₘₐₚ collects charge-basis conversion terms and normalization bookkeeping. Charge-basis discipline follows the established APM narrative. The internal APM relationship between singular and distributed square-charge bases is enforced by the unified charge equation,\[e^2 = 8π\,α\,eₑₘₐₓ\,2,\]with α the fine-structure constant. When bridging to SI reporting conventions, the operational SI↔QMU conversion is implemented by the Charge Conversion Factor (CCF),\[CCF:={eₑₘₐₓ\,2}{e},\]used to translate SI charge-based units to QMU and back without altering the internal APM charge-basis identity. A constructive holonomy program is then organized into milestones that (i) define an action-normalized vector-channel connection, (ii) implement the forward-time restriction explicitly, and (iii) reduce the forward-time holonomy defect to seam (stitching) data classified by a discrete obstruction index. In the minimal octant taxonomy, seam increments are quantized in steps of π/4, leading to a defect structure of the form\[Δ_V=1/8\,τ_V\,Ξ_V(α),\]with τV (or half-integer effective classes under forward-time restriction) and ΞV(α) a normalization fixed by geometry and a charge-basis-constrained basis-map multiplier. A key geometric lock used in the diagnostic scan is a toroidal invariance principle for the forward-time projection, expressed as\[R\,r=λ_C^2,\]where R and r are the major and minor radii of the effective toroidal projection and λC is the QMU Compton length. In the minimal octant-pitch model this yields a rigid seam-lock multiplier,\[s_V=β_V={√17}{4}≈ 1.0308,\]which shifts the inferred obstruction index for the observed first-row deficit toward the forward-time half-class $3/2$ with only a sub-percent remaining mismatch.