Physics Proves CO2 Cooling Here is a simple yet rigorous physics model for the effect of CO2 on global temperature.
Prove: If non-radiating O2 is exchanged for radiating (absorbing/emitting) CO2, emissivity, e, of planet to space must increase. More generally, if any “greenhouse” gas displaces a “non-greenhouse” gas, planet will cool.
The Stefan-Boltzmann Law of radiation for all matter in the universe is
I = ó e (T/100)**4.
If e increases with CO2 at constant I, T goes down. Therefore CO2 causes global cooling.
I = intensity of any radiating body, w/m2, of its spherical surface, measured by Earth satellite spectrophotometers to be about 239.
T = temperature of radiating body, K.
ó = S-B Law constant, 5.67.
e = emissivity of radiating body, fraction 0 < e < 1. Perfect radiator black body e = 1, radiates a given intensity at lowest possible temperature.
This law is valid for Earth’s radiating mixture of solids, liquids and gases; atoms, molecules and ions; blue, white, green & brown; thick equatorial atmosphere and thin polar atmosphere; day & night; rotating and orbiting; hurricanes and tornadoes below.
The emissivity value is an effective average physical property that makes the intensity and temperature agree. The engineering problem is the e value is hard to estimate independently from the properties of radiating mixtures. But it exists and can be inferred from I and T measurements with S-B Law.
If you accept exchanging non-radiating O2 molecules for radiating CO2 molecules by fossil fuel combustion, the first question is does that increase or decrease e and then T? Answer, increases e and hence decreases T. Later ask to quantify the effect on e and T if you are interested and can justify the chemical engineering expense.
Assuming doubling CO2 from 400 to 800 ppmv increases atmosphere's emissivity from 0.830 to 0.831, it is easy to show global temperature sensitivity to CO2 is CS = -0.08576 C/doubling.
Controversy resolved by physics and elementary algebra. No need for UN IPCC and $1 billion/day research since 1996 to prove the impossible, global warming. If you disagree with Stefan-Boltzmann radiation law of physics, used successfully since 1884, take it up with them, not me.