Atmospheric back radiation and surface temperature: Since (according to Eq. 10b) the equilibrium GMAT of a planet is mainly determined by the TOA solar irradiance and surface atmospheric pressure, the down-welling LW radiation appears to be globally a product of the air temperature rather than a driver of the surface warming. In other words, on a planetary scale, the so-called back radiation is a consequence of the atmospheric thermal effect rather than a cause for it. This explains the broad variation in the size of the observed downwelling LW flux among celestial bodies irrespective of the amount of absorbed solar radiation. Therefore, a change in this thermal flux brought about by a shift in atmospheric LW emissivity cannot be expected to impact the global surface temperature.
Among other things, this is what the Slayers have said as well, long ago: the thermal energy in the atmosphere and the atmosphere’s radiation is a consequence of its temperature, not its cause! There’s no independent internal source of radiation in or from the atmosphere, therefore any such radiation from the atmosphere is a consequence, not a cause. The Slayers had also pointed out long ago that atmospheric pressure and the temperature gradient is what determines near-surface-air temperature. It is great to see our original work reproduced with mathematical rigor.
My approach has been to simply show the fundamentals of where things go wrong with the basis of climate alarm and its radiative greenhouse effect, because it is actually quite simple, and you learn some real physics and logic in the process!
The radiative greenhouse effect is finished. Climate alarm and the brand of politics that supported it is finished. Great work and kudos to the authors!