State-Transition Multiverse Framework: Singularity Avoidance, Child-Universe Emergence, and Observational Predictions

[Abstract] We present a fully formalized cosmological framework based on the state-transition dynamics ofan underlying unrendered uncertainty pool (Phase 0). By defining physical mass as the degree ofinteraction and determinacy, gravitational attraction naturally emerges as a decay gradient of spatial background tension during environmental decoherence. Inside black holes, density saturationat the critical value ρcrit ≈ 0.0207ρP triggers an inverse phase transition, completely eliminatingphysical singularities and establishing a regular de Sitter core. Topological pinch-off at the throatmetric physically decouples the child universe’s coordinates and temporal flow from the parent universe. Incorporating non-minimal scalar coupling driven by renormalization group flow (ξ∗ = 1/6),the framework accounts for galactic rotation curves, gravitational lensing deflection, and the Bullet Cluster offset (∆x ≈ 360kpc). Furthermore, applying Fokker-Planck dynamics to cosmological natural selection demonstrates that fundamental physical constants peak around statisticallymost probable values without invoking anthropic arguments. Falsifiable quantitative predictions—including gravitational wave echoes with delay ∆techo ≈ 29.5ms for 30M⊙, low-l CMB B-modeanomalies (r ≈ 0.95×10−3), simultaneous resolution of H0/S8 tensions, dynamic dark energy CPLparameters, and tabletop SQUID phase fluctuations—are presented alongside sensitivity analysisand AIC/BIC selection proofs.