implications

formal source

 187    2. **Prediction**: sin²(θ_W) should be exactly computable
 188    3. **Running**: The running of θ_W with energy should follow φ-scaling
 189    4. **BSM physics**: Deviations would signal new physics -/
 190def implications : List String := [
 191  "Electroweak mixing is fundamental, not arbitrary",
 192  "The angle emerges from 8-tick geometry",
 193  "Precise prediction possible with full RS model",
 194  "Running coupling follows φ-ladder"
 195]
 196
 197/-! ## Predictions and Tests -/
 198
 199/-- RS predictions for electroweak parameters:
 200    1. sin²(θ_W) ~ 1/(2φ + 1) ≈ 0.236 (vs observed 0.223)
 201    2. Running with energy follows φ-ladder
 202    3. Mass ratio m_W/m_Z = cos(θ_W) ≈ 0.88 ✓ -/
 203def predictions : List String := [
 204  "sin²(θ_W) related to 1/(2φ + 1)",
 205  "m_W / m_Z ≈ 0.88",
 206  "θ_W constrained by 8-tick geometry"
 207]
 208
 209/-! ## Falsification Criteria -/
 210
 211/-- The derivation would be falsified by:
 212    1. No φ-connection to sin²(θ_W)
 213    2. Mass ratio not following cos(θ_W)
 214    3. Running not following φ-scaling -/
 215structure WZFalsifier where
 216  falsifier : String
 217  status : String
 218
 219def experimentalStatus : List WZFalsifier := [
 220  ⟨"m_W / m_Z measurement", "0.8815 ± 0.0002, precisely known"⟩,