Why greenhouse gas radiative forcing doesn't explain Earth's energy budget

We have previously demonstrated that the atmospheric mass/gravity/pressure theory of the 33C greenhouse effect explains Earth's surface temperature and the temperatures throughout the troposphere, rather than radiative forcing from greenhouse gases.

We have also demonstrated why the atmospheric mass/gravity/pressure theory of the greenhouse effect also perfectly explains the observed greenhouse effect on Titan, the closest Earth analog in our solar system, and the only planet other than Earth with an atmosphere comprised of mostly non-greenhouse gases (Titan: 98.4% Nitrogen, 0.1% hydrogen, and only 1.5% greenhouse gas methane compared to Earth's 78.09% nitrogen, 20.95% oxygen, 0.93% argon, 0.04% carbon dioxide).

We now address three additional reasons why the conventional anthropogenic CO2 warming theory is flawed due to incorrect assumptions regarding the energy budget. In contrast, the mass/gravity/pressure alternative greenhouse theory is entirely compatible with Earth's energy budget, physical laws, and observations. 

The radiative greenhouse theory is commonly represented by the Earth energy budget devised by Kiehl and Trenberth as shown in this diagram from their 2008 publication:

Trenberth, Fasullo, Kiehl 2008 Earth energy budget shows "atmospheric window" transmitting only 40 W/m2 from the surface directly to space

which shows an "atmospheric window" where the greenhouse gases don't significantly absorb/emit infrared radiation, and thus most of this radiation travels directly from the surface to space unimpeded by greenhouse gases, or any radiative forcing as a result. 

The "atmospheric window" of radiation direct to space falls between 8-12 micron wavelengths, as shown in the figures above and below, which includes the peak emission wavelengths (~8-11 microns) from Earth, thus ~80% of these peak emissions from Earth pass directly to space without being absorbed or emitted by greenhouse gases, thus don't contribute to radiative forcing. 

Blue curve shows the Planck curve assuming Earth radiated as a true blackbody, with peak emissions located at ~10 microns, which is at the middle of the 8-12 micron "atmospheric window" that is not absorbed/emitted by greenhouse gases.

However, according to the Trenberth et al Earth energy budget above, only 40 W/m2 passes through the "atmospheric window," i.e. only 10% of the 396 W/m2 radiative surface emissions in his energy budget.

The Planck–Einstein relation is a formula integral to quantum mechanics, and states that the energy of a photon (E) is proportional to its frequency (ν). The constant of proportionality, h, is known as the Planck constant:

and since frequency v is inversely related to wavelength λ by

v = c/λ where c = speed of light

therefore

E = hc/λ

thus, the shorter the wavelength/higher the frequency of a photon, the higher the energy it contains.

Therefore, the highest energy photons at the short 8-12 micron wavelengths emitted from Earth's surface fall within the direct atmospheric window to space without any interaction with greenhouse gases.

We can get a sense for the huge effect just a few microns change in wavelength has on the corresponding blackbody emission temperature by plotting the peak blackbody emission wavelength in microns vs. the peak emission temperature of a blackbody determined by Wien's Displacement Law, which shows the emission temperature at the beginning of the atmospheric window at 8 microns is 89C, dropping all the way down to -31.7C at the end of the atmospheric window at 12 microns, a temperature change of 120.7C.

The catastrophic greenhouse gas CO2, however, absorbs and emits line spectra centered around 15 microns, so what does Wien's displacement law calculate for a blackbody (which CO2 is not) emitting at 15 microns? Whoa, a toasty peak emission temperature of minus 80C:

Thus, the radiative greenhouse theory makes the absurd assumption that CO2 radiating at a blackbody temperature of -80C contributes 20% of the radiative greenhouse effect and heats the Earth by 6.6C from the equilibrium temperature with the Sun of -18C to -11.4C. How can a cold body radiating at -80C cause a hotter body at -18C to warm by 6.6C or at all? Pictet's experiment 214 years ago, the 1st and 2nd laws of thermodynamics, the principle of maximum entropy production, Planck's law, the Pauli exclusion principle, and quantum mechanics all prove it cannot. CO2 radiating at an equivalent blackbody temperature of  -80C cannot possibly account for 20% of the ~33C greenhouse effect to cause 20% of the warming from -18C to 15C.

Further, even within the CO2 equivalent -80C blackbody emission peak at 15 microns [line spectra range ~13.5 - 17 microns], the CO2 and water vapor absorption/emission spectra significantly overlap such that almost 70% is independently due to water vapor and thus would be completely unaffected by increased CO2. Thus, despite overwhelming evidence that CO2 cannot significantly warm the planet, if you still believe the radiative greenhouse theory and reject the alternate mass/pressure greenhouse theory, the overlapping spectra of CO2 with water vapor prove CO2 is a bit player at most:

Shaded area shows difference between CO2 and water vapor absorption/emission spectra

Blowup of above figure. Area with asterisk is absorbed by CO2 only, remainder below overlaps with absorption spectra of water vapor.

Another huge flaw in Trenberth's energy budget is the false assumption that infrared radiation from greenhouse gases can heat the oceans, and just as effectively as the land surface. This is disproven by both theory and observations, since IR can only penetrate the ocean surface a few microns to cause evaporative cooling of the ocean skin surface, not warming. Since the oceans cover 70% of the Earth's surface, this problem alone suggests the radiative greenhouse theory is exaggerated by at least 70% (not even considering the cooling effect of evaporation and that evaporation results in clouds and further cooling).

These are only three of many fatal flaws of conventional radiative greenhouse theory. There is one and only one explanation for the entire ~33C greenhouse effect that satisfies all physical laws and is in accordance with millions of weather balloon and satellite observations, the atmospheric mass/gravity/pressure greenhouse theory.