hypothesis3
plain-language theorem explainer
The declaration supplies the Wolfenstein lambda parameter as λ = 1/φ² ≈ 0.382 for the CKM matrix parametrization in Recognition Science. Researchers modeling quark flavor mixing would cite this when testing φ-quantized angles against experimental data. It is realized as a direct noncomputable definition using the imported phi constant from Constants.
Claim. Let λ denote the Wolfenstein parameter. Then λ = 1/φ², where φ is the golden ratio.
background
The module derives CKM matrix elements from φ-quantized mixing angles tied to the 8-tick phase structure. Hypothesis 3 sets the specific value λ = 1/φ² as one of the four Wolfenstein parameters. Upstream results include the hypothesis3 definition from CosmologicalConstant, which sets Λ = 1/φ^lambda_exponent via J-cost ground state energy, and the hypothesis3 from WZMassRatio, which sets cos(θ_W) = φ / √(φ² + 1). The CPM2D Hypothesis supplies the structure bundle with projection_defect and energy control axioms for GalerkinState.
proof idea
The declaration is a one-line definition that directly assigns the real number 1 divided by phi squared.
why it matters
This supplies the λ value that feeds into CKM matrix construction and supports the parent hypothesis3 definitions in CosmologicalConstant and WZMassRatio. It advances the paper proposition PRD on CKM Matrix from Golden Ratio Geometry, connecting to the eight-tick octave (T7) and D = 3 in the forcing chain. The definition closes a parameter slot in the φ-ladder approach to quark mixing.
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