Radioactivity Reimagined — USP Field Theory v3: Light as External Oscillation and the Mercury Resonance Trap

This v3 edition of Radioactivity Reimagined extends USP Field Theory to reinterpret radioactivity as a deterministic resonance process rather than a random nuclear decay.The study introduces quantitative relationships between Δr, Δf, and gravitational curvature, revealing how heavy atomic cores — particularly mercury — can trap, store, and gradually release light as oscillatory energy. The central resonance relations are expressed as: Δf_field = k × Δr⁻¹ × g_localΔr_compressed = Δr₀ / (1 + γ_g)E = k_usp × (Δf × Δr) These equations define the dynamic balance between field curvature, frequency mismatch, and stored energy. The document expands the USP mechanism through: Spin-lock breakdown, where exceeding Δf_electron triggers photon release; Gravitational compression, which narrows the Δr envelope and amplifies Δf coupling; Thermal modulation, predicting that colder mercury exhibits weaker photon leakage due to reduced Δf_field. An experimental proposal verifies this effect by measuring light retention and delayed emission from mercury under controlled temperature conditions. Figures include: 1. Δr Compression under Gravitational Slope 2. Δr–Δf Phase Map for Mercury vs Uranium 3. Thermal Δf Modulation Experiment Setup 4. Unified Resonance Diagram This framework links atomic-scale resonance with macroscopic gravitational effects (as detailed in msf:45601), forming a unified model of light, stability, and energy release under USP Field Theory