USP Field Theory — Stars, Black Holes, and Δf Thresholds (Refined)

This document refines the USP Field Theory interpretation of stars and black holes, integrating validated Δf thresholds, finite density ranges, and observational anchors. It introduces ultra-atoms (neutron-rich resonance clusters) as precursors to collapse, and frames black holes not as singularities but as finite USP foam states with saturation shells. Key points include: Collapse begins when Δf > 10²² Hz, exceeding atomic stability. Stars oscillate at ~10²⁰ Hz with electron support; black holes collapse to ~10²³ Hz without electrons. Saturation density stabilizes at ρ ~10¹⁸–10²⁰ kg/m³, with an absolute cap at 10³⁰ kg/m³. Observational anchors: M87* (EHT ring as saturation glow), GW150914 & GW170817 (Δf signatures), and LISA projections (galactic-scale oscillations). Jets linked to axial resonance corridors, flaring when Δf > 10²⁵ Hz. This refined version provides both theoretical predictions and testable frameworks, contrasting USP’s finite foam model with General Relativity’s singularities.