Basically this error assumes that the Earth’s surface and the infrared-active gases in the atmosphere, commonly called the greenhouse gases, act like black body radiators and absorbers with respect to longwave infrared radiation. This infrared longwave radiation is the important thermal radiation at temperatures in the range of those of the Earth’s surface and the infrared-active gases in the atmosphere. It further assumes that the thermal radiation emitted by these bodies is the same as it would be if that body is surrounded by vacuum at a temperature of absolute zero, or 0 Kelvin.
My discussion in this paper will be centered on this last assertion by the catastrophists that thermal radiation emitted by a body at temperature T is at a rate per unit area of P = σT4, which is called the Stefan-Boltzmann Law of Thermal Radiation, even when that body is surrounded by, or itself surrounds a body, which is not at 0 K. This wrongheaded belief is one widely held by physicists as well as by climate scientists. I will show that the application of this idea of radiative emission by black bodies violates the most fundamental property of a black body radiator.
The immediate space against the sphere’s surface has a boundary condition in which the energy density e = a TH4. The power output per unit area of the sphere surface is P = σ TH4 in accordance with the Stefan-Boltzmann Law of Thermal Radiation and σ is the Stefan-Boltzmann constant. The power at a distance r, measured from the center of the sphere and greater than RH, will be given by
In reality, photons are a manifestation of an electromagnetic field. Thermal radiation is emitted from a material or a molecule due to dipole vibrations and the vibration effect of higher order poles, though the higher order poles have much shorter electromagnetic ranges than do the dipoles in vibration. The acceleration and deceleration of charges in dipoles is the primary source of the electromagnetic field that generates photons. An energy density eH = a TH4 in the vacuum immediately outside the surface of the inner sphere and an energy density of eC = a TC4 immediately inside the surface of the outer spherical shell cause a gradient in the electromagnetic field (the energy density of an electromagnetic field in vacuum is proportional to the magnitude of the electric field squared) from the inner sphere surface to the surface of the outer spherical shell. The total energy gradient between the two surfaces is given by
PC = (RH2/RC2) σTH4 – σTC4