We study whether the QGEFT surrogate supports a native electroweak-like mixing ratio without inserting the physical Weinberg angle by hand. On the long-run N=1024 thermal background, we measure the ratio of the Abelian U (1) and non-Abelian SU (2) bare triangle actions and interpret the resulting shell-resolved observable as an effective weak-mixing proxy ^2ₖ running with graph distance. Averaging over all 1023 available source nodes on the giant connected component yields a striking result: the bulk shells r=1 through r=4 form a stable plateau near ^2ₖ0. 271, with tight standard errors down to 0. 0009 at r=3. The uncooled thermal graph therefore selects a rigid electroweak-like mixing ratio without fine-tuning. We then repeat the same analysis on gauge-cooled descendants of the same background. Under 10, 20, and 30 cooling sweeps, the mixing proxy collapses by orders of magnitude, from the bulk plateau near 0. 27 to 2. 7510^-4, 3. 010^-5, and finally 1. 710^-5. This shows that the emergent mixing ratio is not a static combinatorial artifact of the graph alone, but is sustained by thermal ultraviolet fluctuations of the discrete gauge background. The narrow claim supported by the current data is not that the exact Standard Model value of the Weinberg angle has been derived. It is that QGEFT naturally generates a robust electroweak-like mixing plateau on an uncooled thermal geometry and that this plateau disappears under gauge smoothing, consistent with a genuinely fluctuation-driven running-coupling phenomenon on emergent spacetime.
Yaniv Cohen (Thu,) studied this question.