The Golden Architecture: Universal Scalar Potential Dynamics from Hoag’s Object to the Bullet Cluster

The Golden Architecture introduces a unified scalar-potential framework, QIFH-ZDE, for modeling gravitational and inertial dynamics across astrophysical scales. By formulating an inertial scalar potential P governed by a universal coupling parameter \kappa \approx 3.2, the model reproduces galaxy rotation curves, structural coherence, and dynamical stability without invoking dark matter or spacetime curvature. Quantitative validation is provided through The Big Run, a systematic analysis of ten representative systems—ranging from Hoag’s Object and the Bullet Cluster to high-redshift galaxies such as GN-z11—yielding a reduced chi-square of \chi^2_\nu \approx 1.05. The results suggest that scalar inertial potentials may offer a viable alternative pathway for interpreting galactic and cluster-scale dynamics.