Reinterpreting the Dark Matter and Hubble Tension: A Cross-Scale Phenomenological Validation of the Local Survival Mechanism

The standard cosmological model (ΛCDM) faces two existential challenges: the non-detection of dark matter particles and the >5σ Hubble Tension between early-universe (Planck CMB) and late-universe (SH0ES) measurements. Here, we present a phenomenological framework that resolves both issues without invoking dark matter or ad-hoc early dark energy. At the galactic scale, a two-parameter limit-cycle model achieves a median residual of 8.801 km/s across 1804 SPARC data points (including central bulges). A strict Leave-One-Out Cross-Validation (LOOCV) blind test yields 8.962 km/s, decisively outperforming MOND without per-galaxy mass-to-light tuning (ΔAIC = -121.54). At the cosmological scale, the framework asymptotically reduces to General Relativity in high-density environments, perfectly preserving the Planck 2018 CMB acoustic peaks. Crucially, the Hubble Tension is reinterpreted not as a crisis, but as a "Topological Residual" arising from the phase transition between the early-universe "strong-anchoring" state and the late-universe "weak-anchoring" structural network.