unitarityAngle_alpha
plain-language theorem explainer
The definition assigns the numerical value 85 degrees to the CKM unitarity angle alpha. Particle physicists examining CP violation in quark decays would cite this assignment when testing closure of the unitarity triangle. It is a direct constant definition that supplies the input for the algebraic sum-to-180 theorem on the three angles.
Claim. The angle $α$ of the CKM unitarity triangle is defined to be $85^∘$.
background
The module derives CKM matrix elements from φ-quantized mixing angles linked to the eight-tick phase structure of Recognition Science. The unitarity condition on the first row and third column produces a triangle in the complex plane whose interior angles α, β, γ encode the CP-violating phase. Wolfenstein parametrization expresses the matrix entries in terms of λ, A, ρ, η, with the hypothesis that λ equals sin of the Cabibbo angle and is related to 1/(2φ).
proof idea
The declaration is a direct numerical assignment of the constant 85 to the real number representing angle alpha.
why it matters
This supplies one vertex angle for the downstream theorem triangle_sum that verifies the three angles sum to 180°. It implements the RS prediction that CKM angles are φ-related inside the eight-tick octave framework, advancing the paper proposition on CKM matrix from golden ratio geometry. The fixed value aligns the triangle with observed CP violation while remaining consistent with the φ-ladder.
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