This paper presents a notebook-backed minimal W-boson branch-conversion bridge within the Emergent Condensate Superfluid Medium (ECSM) weak-sector programme. Previous ECSM work constructed a closure-active weak pair, recovered a minimal SU (2) L-like algebra, derived an ECSM electric-charge bridge through QECSM = T3 + Y/2, and then showed that branch-phase and neutral closure-imbalance modes can coherently rotate into photon-like and Z-like neutral modes. The present work tests the missing charged weak-sector step: whether W+- and W--like modes can be represented as finite-response branch-conversion excitations between a neutral closure branch Q0 and a charged branch Qch. Using the inherited charge assignments Q (Q0) = 0, Q (Qch) = -1, the notebook verifies T+ |Qch> = |Q0>, T- |Q0> = |Qch>, with null actions T+ |Q0> = 0, T- |Qch> = 0. The corresponding charge transfers are W+: -1 -> 0, Delta Q = +1, W-: 0 -> -1, Delta Q = -1. The notebook also tests the coherent-limit weak mass relation mW² = m₀² g², together with the previous neutral result mZ² = m₀² (g² + g'²), and verifies mW / mZ = cos (theta), with a coupling-ratio scan giving a maximum residual error of 2. 22e-16, consistent with floating-point precision. A finite-response deformation test shows that the W/Z-like relation can drift away from coherence at chi 1. Final notebook verdict: PASSMINIMALWBRANCHCONVERSIONBRIDGE This paper does not claim to derive the full electroweak theory, physical W/Z masses, measured Weinberg angle, weak decay rates, scattering amplitudes, Higgs phenomenology, coupling running, CKM/PMNS mixing, or precision electroweak observables. Its narrower result is that ECSM can represent charged W+- and W--like weak modes as finite-response branch-conversion excitations carrying Delta Q = +/-1, with the expected coherent-limit mass relation mW/mZ = cos (theta).
Adam Sheldrick (Sat,) studied this question.