The Infrared Universe

Abstract

We develop a stationary open-sector framework relating galactic dynamics, cosmological matter balance, and infrared radiation in an expanding universe. Stationarity means balance against Hubble dilution and therefore requires counted exchange currents. At a fixed-radius boundary, charge balance fixes the baryon return current; a joint energy ledger separates rest-mass recycling, horizon heat, and useful return free energy. Full counting statistics gives the boundary process a Berry--Sinitsyn--Nemenman connection. Pulling its curvature back along three spatial controls yields the free step-two tangent $N_{3,2}=\mathbb{R}^3\oplus\Lambda^2\mathbb{R}^3$. An autonomous horizon pump realizes the clock and affinity, while an event-conditioned completely positive channel selects the central character left undetermined by holonomy. In a galactic disc this response becomes an azimuthal connection. We derive its circular-orbit law, inverse reconstruction from a rotation curve, and a screened closure with a finite approximately flat branch; the baryonic Tully--Fisher normalization remains a source-matching hypothesis. The same tangent has an exact Landau--longitudinal spectrum and sky kernels. At feature level they fit the measured TT locations, reproduce the signs of twelve TE extrema and the higher TE/EE interleaving, and supply the first EE lobe without shifting TT. Coherent log-frequency translation preserves an exact Planck spectrum, while differential translation is constrained by blackbody mixing. The framework yields exact structural relations and conditional closures, leaving the common microscopic event law and full light-cone covariance open.