The Wind That Had to Blow: Parker's Corona, Priced

In 1958 Eugene Parker proved that the Sun's corona cannot sit still: a static corona's pressure cannot fall to interstellar pressure, so the corona must expand through a critical point into a supersonic wind — confirmed in kind by spacecraft four years later. I credit that proof at full strength. What I price is the closure it is bought with: the steady outflow equations are one equation short, and Parker closes them by holding the temperature constant with radius — an isothermal corona, gamma = 1 — a temperature law spent, not derived from any heating or conduction calculation in the paper, riding on a steady, spherically symmetric flow likewise assumed. On declared inputs only, my bench returns, at 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 — every digit a function of the un-derived inputs. A labelled polytropic scaling estimate at gamma = 1.20 reprices the critical radius by -16.666667 per cent and the speed at Earth's orbit by up to +12.445449 per cent. And the isothermal solution's speed grows without bound as the square root of a logarithm, for exactly as far out as the temperature is maintained — the closure's signature on its own solution. Grade for this census entry, printed at full size: **REASON FOUND / STILL TURNING** — explicitly not a kill and not a falsification. The program headline stands unmoved: **vacuum catastrophe NOT SOLVED / PARTIAL, producing-count 0.**