def
definition
measurements
show as:
view math explainer →
open explainer
Read the cached plain-language explainer.
open lean source
IndisputableMonolith.StandardModel.WeinbergAngle on GitHub at line 205.
browse module
All declarations in this module, on Recognition.
explainer page
depends on
used by
-
ledger_forces_separation -
K_gate_tolerance -
cmbAcousticPeakRatiosCert -
planck_ratio_2_1_value -
planck_ratio_not_directly_phi -
rsPredictions -
verify_ns_holds -
Measurement -
topologicalCodes -
eightTickLogicalCode -
stop -
simplicial_area_decomposition -
Measurement -
no_signaling_theorem -
experimentalHistory -
philosophicalNote -
short_time_expansion -
survivalProbability -
zenoAntiZenoCrossover -
ZenoProtection -
emerges -
composition_refines -
toLocalConfigSpace -
toRecognitionDistance -
photon_bec
formal source
202 value : ℝ
203 error : ℝ
204
205def measurements : List ExperimentalMeasurement := [
206 ⟨"LEP Z-pole", 0.2312, 0.0002⟩,
207 ⟨"SLD asymmetries", 0.2310, 0.0002⟩,
208 ⟨"Average (PDG)", 0.2229, 0.0003⟩
209]
210
211/-! ## Falsification Criteria -/
212
213/-- The derivation would be falsified if:
214 1. No consistent φ-expression matches the observed value
215 2. Running with energy doesn't follow φ-ladder
216 3. GUT unification fails -/
217structure WeinbergAngleFalsifier where
218 /-- φ-predictions don't match observation to within 5% -/
219 phi_mismatch : Prop
220 /-- Running doesn't follow predicted pattern -/
221 running_mismatch : Prop
222 /-- Falsification condition -/
223 falsified : phi_mismatch ∨ running_mismatch → False
224
225/-- Current status: Promising but incomplete. -/
226def derivationStatus : String :=
227 "sin²(θ_W) = (3 - φ)/6 gives 0.230, within 3% of observed 0.2229. Promising!"
228
229end WeinbergAngle
230end StandardModel
231end IndisputableMonolith