phiCorrection
plain-language theorem explainer
The phiCorrection definition supplies the algebraic correction ε = (φ − 1)/(12φ) ≈ 0.032 that reduces the base geometric ratio 1/4 toward the observed Weinberg angle in Recognition Science. Electroweak modelers cite it when adjusting sin²(θ_W) predictions from 8-tick phase geometry. The declaration is a direct one-line definition with no lemmas or reductions.
Claim. Define the correction factor ε := (φ − 1)/(12 φ) where φ is the golden ratio. The adjusted Weinberg angle then satisfies sin²(θ_W) = (1/4)(1 − ε).
background
In the StandardModel.WeinbergAngle module the Weinberg angle emerges from the 8-tick phase geometry of Recognition Science. The golden ratio φ is the self-similar fixed point fixed by the forcing chain. This definition isolates the first-order correction ε that lowers the naive 0.25 value to approximately 0.234 before further adjustments.
proof idea
The declaration is a one-line definition that directly encodes the algebraic expression for the φ-correction factor.
why it matters
The term feeds directly into the downstream correctedPrediction that produces the adjusted sin²(θ_W). It advances the SM-004 program of deriving the Weinberg angle from RS φ-structure and 8-tick geometry, as stated in the module documentation targeting a PRL paper on electroweak mixing from information-theoretic principles. It leaves open the precise numerical match to the measured 0.2229 value.
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