There is an important point that was missed in your article
about the Stefan-Boltzmann equation. Applying the argument to the “greenhouse gas” theory is quite simple: there can be no “back radiation” from the colder atmosphere to the warmer earth’s surface. It violates the 2nd Law of Thermodynamics as it applies to radiative transfer…’
More following from Dr. Martin Hertzberg, a coauthor of “Slaying the Sky Dragon-Death of the Greenhouse Gas Theory”…
‘Consider two flat, parallel surfaces each with unit emissivity facing each other. One surface is maintained at a higher temperature, Th while the other surface is maintained at a lower temperature Tc . If the hotter surface were facing a complete void or surroundings at 0 K, the flux of radiant energy that it would emit and that the void would receive is sTh4.
‘Similarly, if the colder surface were facing a complete void or surroundings at 0 K, the flux of radiant energy that it would emit and that the void would receive is sTc4. But neither of the surfaces is facing a void: they are facing each other, and accordingly the net flux of radiant energy in the field between them is:
I (net) = s (Th4 – Tc4 )
and is always from the hotter surface to the colder surface as required by the 2nd Law of Thermodynamics.
‘Nowhere in the radiation field between the two surfaces is the flux of radiant energy equal to what either of the surfaces would emit if they were facing a complete void at 0 K! Thus, the simple use of the Stefan-Boltzmann equation to characterize the emission from a source of radiation as though it depends only on the temperature of the source without considering the temperature of the surroundings that are receiving the radiation, is a misuse of the equation, and the notion that a colder source can transfer radiant energy to a warmer object involves not only a misuse of the Stefan-Boltzmann equation but also a violation of the 2nd Law.
‘The situation is analogous to a simple problem in mechanics. A 1 Kg mass is sitting on a frictionless table and is subjected to a force of 10 Newtons from left to right and simultaneously subjected to a force of 7 Newtons from right to left. Now you are free to calculate what the motion would be if only the 10 Newton force acted on the mass, or if you prefer, you can calculate what the motion would be if only the 7 Newton mass operated on it. But, of course, neither of those calculations describes the real motion, which is that of a 3 Newton force acting from left to right. There is no motion to the left from the weaker force.
‘Thus it should be quite clear that the simple use of the Stefan-Boltzmann equation as though it can characterize the radiant energy being transferred from a source to its surroundings without any reference to the conditions of the surroundings that are receiving that radiant energy, is a misuse of the equation.’
Dr. Martin Hertzberg coauthor of Slaying the Sky Dragon-Death of the Greenhouse Gas Theory
Part 1 on the Equation: http://jennifermarohasy.com/blog/2011/02/a-note-on-the-stefan-boltzman-equation/
The Dragon book: http://slayingtheskydragon.com/
Apologies in advance: The equations inserted into the above texts appear to be displaying OK as posted – using internet explorer as my browser. But I have had problems before with mathematics in blogs displaying properly – so apologies in advance if they aren’t looking right.