IndisputableMonolith.StandardModel.WeakCoupling
The WeakCoupling module defines the weak coupling constant α_W = α / sin²θ_W together with positivity and comparison lemmas. It would be cited by researchers deriving electroweak boson masses or couplings inside the Recognition Science phi-ladder. The module consists of a core definition plus short auxiliary results establishing sign and ordering constraints.
claim$α_W := α / sin²θ_W$ where $α$ denotes the fine-structure constant and $θ_W$ the weak mixing angle, obeying the tree-level identity $α = α_W sin²θ_W$.
background
This module belongs to the StandardModel domain and imports the Constants module (setting the RS time quantum τ₀ = 1 tick), the Alpha module, and ElectroweakMasses. The latter states that the Z boson occupies rung 1, giving m_Z = 2 × φ^51 / 10^6 MeV. The weak coupling is introduced directly from the tree-level electroweak relation without reference to the J-cost or defectDist functions.
proof idea
this is a definition module, no proofs
why it matters in Recognition Science
The module supplies the α_W definition and certificates that feed sibling results such as WeakCouplingCert. It supplies the coupling relation required for electroweak mass formulas on the phi-ladder and sits inside the alpha inverse band (137.030, 137.039). No used_by edges are recorded.
scope and limits
- Does not derive sin²θ_W from the forcing chain or RCL.
- Does not include radiative corrections beyond tree level.
- Does not connect α_W to the eight-tick octave or D = 3.
- Does not compute numerical values or bounds on α_W.