hypothesis2
plain-language theorem explainer
This definition supplies the Wolfenstein parameter λ as (φ − 1)/2 for the Recognition Science derivation of CKM quark mixing. A physicist checking φ-quantized angles against observed CKM magnitudes would cite it during numerical consistency tests across Standard Model sectors. The declaration is a direct one-line definition that evaluates the arithmetic expression using the imported phi constant.
Claim. Define the Wolfenstein parameter λ by λ := (φ − 1)/2, where φ is the golden ratio.
background
The StandardModel.CKMMatrix module derives the 3×3 CKM matrix from φ-quantized mixing angles tied to the eight-tick phase structure. The golden ratio φ is the self-similar fixed point forced in the T0–T8 chain. This definition supplies one candidate value for the λ parameter in the Wolfenstein parametrization of the CKM matrix. Upstream results include the Hypothesis structure from CPM2D (a bundle of projection-defect and energy-control axioms) together with parallel parameter definitions in CosmologicalConstant and WZMassRatio.
proof idea
The declaration is a direct noncomputable definition that sets the identifier to the arithmetic expression (phi - 1) / 2. No lemmas are invoked; it is a one-line wrapper that evaluates the expression using the phi constant from the Constants import.
why it matters
The definition contributes a φ-derived candidate for the Wolfenstein λ parameter inside the CKM construction. It is referenced by the hypothesis2 declarations in CosmologicalConstant and WZMassRatio for cross-sector consistency checks. It aligns with the T6 phi fixed point and the eight-tick octave, although the module comment records that the resulting numerical value 0.309 exceeds the observed magnitude ≈0.227.
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