SGOED — Temporal Emergence from Dynamical Observer Coupling: A Matrix Model for Observer-Dependent Symmetry Breaking (Preprint v6)

SGOED_temporal — the time-emergent extension of the atemporal SGOED framework. Toy-level computational demonstration in which a dynamical observer system Y creates a temporal direction in a main matrix system X via directional coupling -gXY·v̂²·Tr(X⁴), with IKKT-like stability gates. Audited results: eigenvalue condensation ratio 4.55±0.35 vs baseline 1.10±0.05 (well over 50σ), λ_max/λ_2 ≈ 20 (rank-1), 100% temporal-observer alignment, first-order bistability/hysteresis; a 30-seed follow-up gives a weak observer-dimension trend (slope ≈ -0.08, p=0.003) and shows the earlier n=5 pairwise significance (p=0.049) was a small-sample fluctuation (t=0.52, p=0.61 at n=30). Scans are two one-dimensional slices (d∈{2,3,4,5} at N=6; N∈{4..16} at d=3). Stated plainly: an engineered toy model, not an emergence claim. Ships manuscript (Markdown/LaTeX/PDF), engine, audit scripts and result JSONs; 100% reproducible with fixed seeds.