wolfenstein_rho
plain-language theorem explainer
Wolfenstein_rho assigns the numerical value 0.14 to the real Wolfenstein parameter ρ in the CKM matrix parametrization. Quark flavor physicists cite this constant when verifying unitarity triangle bounds and CP-violation observables inside the Recognition Science derivation of mixing angles. The definition is a direct constant assignment that draws on the 8-tick phase functions supplied by upstream modules.
Claim. The Wolfenstein parameter ρ equals 0.14.
background
The module derives CKM matrix elements from φ-quantized mixing angles tied to the eight-tick phase structure. The 8-tick phases are the values kπ/4 for k = 0 to 7, which generate the periodic phases entering complex mixing amplitudes. Upstream results supply the phase definition from the EightTick foundation and the complex exponential phase map from the Riemann Hypothesis wedge.
proof idea
The definition is a direct constant assignment of the real number 0.14.
why it matters
This constant supplies the real part ρ used by downstream results including rho_bar_interval (placing ρ̄ in (0.10, 0.20)), rho_bar_pos (confirming positivity), unitarity_triangle_valid (enforcing ρ̄² + η̄² < 1), and the definitions of V_td and V_ub. It fills the real-part slot in the paper proposition on CKM Matrix from Golden Ratio Geometry and aligns with the 8-tick octave and φ-ladder structure of the Recognition framework.
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