The Electroweak Scale from Recursion Phase Separation

The Standard Model Lagrangian paper identified the Higgs field as the phase separationorder parameter Φ ∝ ∆R(Dst) of the Cohesion UFT recursion medium. This paperderives the quantitative structure of the electroweak sector from that identification. Theelectroweak vacuum expectation value v ≈ 246 GeV is established as an empirical anchorfor the recursion resistance at the electroweak density threshold REW, with v = ℏc/REW.From this single anchor, the W and Z boson masses, the Higgs self-coupling λ, andthe Weinberg angle θW are derived as geometric ratios — without additional freeparameters. The key predictions are: mW /mZ = cos θW from the phase alignment ratioof the n = 2 and n = 6 recursion modes; mW = gv/2 and mZ =pg2 + g′2 v/2 fromthe SU(2) × U(1) phase connection masses; and λ = m2H/2v2 ≈ 0.129 as the curvatureratio of R(Dst) at the electroweak density threshold. The ratio mW /mZ = cos θW isconfirmed to within 0.5% against the observed values. The Standard Model has one freeparameter at the electroweak scale — v itself — and all other electroweak observablesfollow from the recursion phase geometry. The first-principles derivation of v from theR(Dst) calibration is the primary open problem.