cabibbo_radiative_correction
plain-language theorem explainer
Cabibbo radiative correction is defined as 1.5 times the fine-structure constant alpha. CKM matrix modelers cite it when subtracting the term from torsion overlap to predict V_us. The definition is a direct scaling that encodes the six-face to four-vertex-edge weight ratio from cubic voxel topology.
Claim. The radiative correction factor for the Cabibbo angle is given by $ (3/2) alpha $, where $ alpha $ is the fine-structure constant.
background
The module formalizes cubic voxel topology constraints that force CKM and PMNS mixing parameters. Alpha is introduced as the fine-structure constant via the definition 1/alphaInv in Constants.Alpha. Upstream results include the Constants structure from LawOfExistence, which bundles Knet, Cproj, Ceng, Cdisp with the nonnegativity condition 0 ≤ Knet, together with algebraic tautology theorems from the simplicial ledger ensuring edge lengths from psi.
proof idea
The declaration is a direct one-line definition that multiplies the imported alpha constant by 3/2, with no lemmas or tactics applied.
why it matters
It supplies the subtraction term in V_us_pred = torsion_overlap - cabibbo_radiative_correction, which is then verified to lie within experimental error in V_us_match. The definition completes the geometric account of Cabibbo scaling inside the mixing derivation, consistent with the Recognition Science forcing chain to D = 3 and the eight-tick octave.
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