This paper presents a notebook-backed minimal photon-Z-like mixing bridge in the ECSM weak-sector programme. A branch-phase / hypercharge-like field B and a neutral closure-imbalance field W3 are combined through a coherent rotation to produce one massless photon-like survivor A and one mass-locked neutral Z-like response mode. The notebook verifies that the neutral mass-locking matrix has mA² ≈ 0 and mZ² = m₀² (g²+g'²), that the coherent rotation diagonalizes the matrix, and that the electric-like coupling identity e = g sin (theta) = g' cos (theta) is recovered. A coupling-ratio scan confirms that the photon-like zero mode is structural, and a finite-response deformation test shows recovery of photon-like masslessness as chi -> 1. Final notebook verdict: PASSMINIMALPHOTONZMIXINGBRIDGE The paper is deliberately scoped as a bridge result and does not claim to derive the full electroweak theory, measured Weinberg angle, physical W/Z masses, Higgs phenomenology, weak scattering amplitudes, or precision electroweak observables.
Adam Sheldrick (Sun,) studied this question.
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