predictions
plain-language theorem explainer
This definition enumerates three Recognition Science predictions for electroweak parameters: sin²(θ_W) near 1/(2φ + 1), the W/Z mass ratio near 0.88, and θ_W constrained by eight-tick geometry. A particle physicist testing beyond-Standard-Model relations would cite it when matching RS outputs to collider measurements. The body is a direct list of three string literals with no computation or lemmas.
Claim. The Recognition Science predictions for electroweak parameters are the list containing $sin^2(θ_W) ≈ 1/(2φ + 1) ≈ 0.236$, $m_W/m_Z ≈ 0.88$, and $θ_W$ constrained by eight-tick geometry.
background
The module derives the W/Z mass ratio from φ-quantized gauge structure in Recognition Science. The W and Z masses are given as fixed real numbers in GeV, with their ratio identified as cos(θ_W). The fundamental time quantum tick equals 1 in RS-native units and sets the eight-tick octave period. Upstream constants supply the Mass abbreviation as ℝ and the tick definition as the base time unit.
proof idea
The definition constructs a list of three string literals directly. No lemmas or tactics are applied; it functions as a static record of the enumerated claims.
why it matters
This definition records the concrete testable outputs of the φ-derived electroweak mixing in the Recognition Science framework. It aligns with the eight-tick octave from the forcing chain and supplies the numerical targets for the mass ratio and Weinberg angle. The module documentation positions it as the bridge to experimental comparison, including the observed ratio 0.8815.
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