Spacetime Emergence, Causal Structure, and Local Gravity in QGEFT from Pure Gauge-Field Dynamics

The current Paper 69 benchmark does not claim that continuum general relativity or a complete quantum-gravity phenomenology has already been derived. It does show that, at $N=2048$, degree $k=16$, $SU(3)$, under a moderate causal-foliation window (Rₛₚₐₙ=4), one production run simultaneously and reproducibly realizes fractal geometry (dH ≈ 2.570 weighted / $2.294$ topology-only vs. dₛ ≈ 1.849 weighted / $1.903$ topology-only), an emergent causal light cone (fit R²=0.897, ceff=0.0024, leakage $=0.0001$), and an Einstein-Hilbert-consistent gravity signature (triangle-Ricci fit R²=0.264, p≈2.1×10⁻¹³⁸; EH-action fit R²=0.206, p≈1.1×10⁻¹⁰⁴), with the fractal structure confirmed scale-persistent via a 5-step RG coarse-graining flow (dₛ: 1.85→1.59→1.24→0.86).