General Theory of Atmospheric Duality: Diabatic Confinement, Spectral Hysteresis, Walker Dynamics, and n-Dependent Triad Redistribution

ARTICLE 5 AND 6 ARE UNDER TEST VALIDATION This synthesis presents a general theory of atmospheric duality, unifying the saturation-driven climate regime framework across Articles 1–6. We propose to rename "global warming" as diabatic atmospheric confinement — a physically precise term that avoids public confusion when cold polar events occur alongside overall energy accumulation. Progressive saturation of ocean heat sinks (Q_max) forces residual imbalance into spectral confinement (Article 4), dynamically modulating the Walker cell via hysteresis and saturation-dependent relaxation λ_W(t) → 0 (Article 5). Cumulative equilibria n(t) act as the master control variable: as n rises, the radiative-wave arm (SWISO) grows via low-wavenumber resonance and persistence, the kinetic arm (TEPRAT) exhibits a nonlinear uptick (2020–2025) from Walker feedbacks and Indian Ocean warming, oceanic dispersive arm (CATED) declines, and atmospheric CATED remains residual leakage. Reformulated equations integrate spectral hysteresis γ n(t), wind duality (γ_wind_free + γ_wind_confine = 1), and saturation-driven relaxation, yielding emergent triad partitioning (~45% kinetic/TEPRAT, ~35% radiative-wave/SWISO, ~20% dispersive/CATED in high-confinement regimes). Energy and linear/angular momentum are conserved via wind duality (trapped vs. dispersive modes) and uniform spectral damping. Validation on ERA5/GPCP (1980–2025), including 2023 Atlantic/Pacific atmospheric river seasons and Indian Ocean saturation signals, shows R² > 0.75 across metrics. The framework predicts a critical tipping horizon (2026–2031) as remaining buffers saturate, leading to TEPRAT ~50% + SWISO ~40% dominance, with implications for persistent extremes (Blobs, ARs, Modoki ENSO, cyclone deviations), reduced tropical rainfall variability, and clearer communication of diabatic confinement risks to the public.