The present bulk benchmark supports a genuine multi-graph ordering phenomenon in QGEFT. In the small-volume `N=32` branch, a cold `3d-local` brane and a hot `small-world` brane coupled by sparse bulk edges repeatedly settle into a perfectly anti-aligned state with edge-alignment proxy `-1.0`, while the per-site energy-gap proxy falls from the first measured value `≈ 0.1765` to recurring minima near `≈ 0.0652`. A direct `N=64` comparison under the same nominal parameters instead settles into the aligned branch with final alignment `+1.0`, so the current evidence supports branch competition in the bulk, including a robust small-volume spontaneous anti-alignment sector, but not yet a universal anti-alignment law.
Yaniv Cohen (Fri,) studied this question.
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