The Corona Read Twice: Parker's Isothermal Wind and Saha's Equilibrium, Priced Jointly

The solar corona is the one object in this corpus that two of my census papers price from opposite ends. CC-125 priced Parker's 1958 proof that the corona cannot sit still: the steady outflow equations are one equation short, and Parker closes them by holding the temperature constant with radius — an isothermal corona, γ = 1 — a temperature law spent, not derived, returning on declared temperatures of 1.0, 1.5 and 2.0 million kelvin critical radii of 5.777730, 3.851820 and 2.888865 solar radii and wind speeds at Earth's orbit of 484.684508, 628.049873 and 752.157574 kilometres per second. CC-123 priced Saha's equilibrium: ionisation read as a chemical equilibrium, exact inside its premises, with its dilute premise fenced by a Debye fence scaling as T³. Read the corona through both at once and a precise question appears that neither paper can ask: the corona that Parker's closure describes is a plasma whose composition Saha's formula is supposed to price, at a temperature Parker's premise simply declares — so where can the equilibrium pricing and the isothermal premise both stand, and what does each actually buy at the coronal address? My bench recomputes CC-125's three rows exactly, by bisection on the integrated isothermal equation, and then evaluates CC-123's Saha bench at the coronal point. The result is two-sided in a way neither parent is. On the composition side, the equilibrium formula at a million kelvin is saturated: the equilibrium constant over the density, S/n, returns 4.124290e+16 at a declared density of 1e8 cm⁻³, and the ionised fraction returns x = 1.000000 at every declared coronal density on the bench, 1e8 to 1e12 cm⁻³, at all three of Parker's temperatures — the equilibrium has nothing left to price, because there is nothing left neutral. And the dilute premise, strained at photospheric densities in CC-123, is comfortable here: the Debye fence at 1.0 million kelvin stands at 1.080025e+23 cm⁻³, eleven orders above the declared coronal densities. But on the temperature side the joint spend fails, and the failure is this paper's priced obstruction: Saha's equilibrium is a relation between temperature and composition, and with the composition saturated it constrains the temperature not at all — any of Parker's three declared rows, and any temperature at all, satisfies the equilibrium identically at x = 1. The corona's temperature problem, the open remainder CC-125 named, receives exactly zero constraint from the corpus's equilibrium paper, and this bench prices the zero. Grade for this joint entry, printed at full size: REASON FOUND / STILL TURNING — PREMISE-ONLY, the joint temperature claim an obstruction priced, explicitly not a kill and not a falsification of either parent paper. The program headline stands unmoved: vacuum catastrophe NOT SOLVED / PARTIAL, producing-count 0.