Universality and Topological Attractors in Quantum Graph Emergent Field Theory: The Inevitability of the Fractal Ground State

The current Paper 70 benchmark does not claim that fine-tuning-independence has been established across the full (N,J,κ,Rₛₚₐₙ) parameter space. It does show that, at one independently phase-mapped resonant coupling point ($J=0.55$, κ=0.05, identified from a "causal ridge" in an $N=512$ gauge-coupling sweep peaking at dₛ≈2.171), a genuine $SU(3)$ four-point finite-size scaling series across N=1024→2048→2560→3072 (3× volume growth) leaves the emergent light-cone fit consistently high (R²∈[0.877,0.914]) while both gravity-facing diagnostics strengthen *monotonically* (triangle-Ricci correlation R=0.355→0.466→0.519→0.535, p→3.11×10⁻²²⁷; Einstein-Hilbert action fit R²=0.042→0.142→0.174→0.205), even as the measurement-averaged spectral dimension itself remains anchored in the fractal band (dₛ≈1.55→2.0) rather than drifting toward a smooth continuum, despite burn-in-phase live diagnostics transiently touching a near-3D configuration (dₛ≈3.40, dH≈3.21 at $N=3072$) before settling back into the fractal ground state.