USP Field Theory Interpretation of Collider Dark Resonance: Δf-Center, Corridor & Collapse Threshold

This work refines the USP Field Theory interpretation of collider visibility by formalizing the three resonance scales that determine whether an exotic hadron appears in detectors or collapses into a dark, gravity-only state. USP replaces probabilistic decay with deterministic resonance geometry: • Resonance center: Δf = (f_internal − f_field) = Δf₀ • Visibility condition: |Δf − Δf₀| ≤ Δf_corr • Collapse threshold: |Δf − Δf₀| > Δf_crit A quantitative upper bound on the resonance corridor, Δf_corr,max ≈ c/(2πa), is obtained using lattice spacing a ≈ 3 Å. This gives Δf_corr,max ≈ 1.6 × 10¹⁸ Hz. A corrected resonance lifetime model is introduced: τ_res ∝ 1 / |Δf − Δf₀| for |Δf − Δf₀| < Δf_corr. Predictions include sharp visibility cliffs near Δf_crit and structured invariant-mass jitter at the corridor boundary — a signature absent in standard QCD. This unifies collider-visible states, post-collapse dark states, and resonance geometry under a single deterministic framework.