pith. machine review for the scientific record. sign in
def

deepConnections

definition
show as:
view math explainer →
module
IndisputableMonolith.StandardModel.WeinbergAngle
domain
StandardModel
line
181 · github
papers citing
none yet

open explainer

Generate a durable explainer page for this declaration.

open lean source

IndisputableMonolith.StandardModel.WeinbergAngle on GitHub at line 181.

browse module

All declarations in this module, on Recognition.

explainer page

Tracked in the explainer inventory; generation is lazy so crawlers do not trigger LLM jobs.

open explainer

depends on

formal source

 178    3. **Coupling unification**: At high energy, couplings merge
 179
 180    In RS, all three emerge from the 8-tick structure with φ-optimization. -/
 181def deepConnections : List String := [
 182  "Charge quantization from discrete phases",
 183  "Mass ratio from φ-constrained symmetry breaking",
 184  "Unification from φ-ladder convergence"
 185]
 186
 187/-! ## Experimental Tests -/
 188
 189/-- The Weinberg angle is one of the most precisely measured quantities in physics.
 190
 191    | Measurement | Value | Error |
 192    |-------------|-------|-------|
 193    | LEP (Z pole) | 0.2312 | 0.0002 |
 194    | SLD (asymmetries) | 0.2310 | 0.0002 |
 195    | Moller scattering | 0.2403 | 0.0013 |
 196    | νN DIS | 0.2277 | 0.0016 |
 197    | APV (Cs) | 0.2356 | 0.0020 |
 198
 199    The variation with energy ("running") is also measured. -/
 200structure ExperimentalMeasurement where
 201  name : String
 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 -/