Why the Greenhouse Gas Theory is Invalid
As discussed before, if IR emissions from the Earth are absorbed by CO2, for example, then conservation of energy requires that the atmosphere's temperature rises. But at the same time, the emission spectrum of the Earth will be reduced as less energy will escape to space, and by the Stefan-Boltzmann law, this means the temperature will appear to be lower to an observer in space.
So how can the temperature of Earth be higher and lower at the same time?
The answer is that it cannot.
The IR leaving the surface is not actually "blocked" by CO2 et al. Instead it is redirected, and it is re-emitted along other IR wavelengths that are not "blocked", so that E in the equation below remains the same.
This is also required by the thermodynamic equilibrium condition, which means basically that the planet is always seeking a temperature at equilibrium where the incoming solar irradiation equals the outgoing Earth radiation the (E below).
Assuming solar irradiation is constant for a moment, the only way, by the equation below, that the temperature can change is if the emissivity ɛ changes.
But, the role of CO2 is not presently quantified in the emissivity. This means that climate science, a relatively new science, is an immature field, essentially pre-science.
It is critical that we understand and precisely quantify how CO2 effects emissivity. Importantly, this quantitative model must include the effect of CO2 facilitating endothermic photosynthesis, which uses incoming solar photons and local thermal radiation to create plant and phytoplankton life at the basis of the food chain.
That's right, CO2 has a role in cooling the Earth, not just a potential role in warming it.
In addition, CO2 has a lower specific heat capacity than either N2 or O2, these latter which make up 99% of the atmosphere compared to CO2's 0.04%. This means that an atmosphere with higher CO2 concentration can hold less thermal energy at a given temperature, not more, and can thus melt less ice or warm ocean waters less (assuming they are warmed substantially at all).
In other words, it does not look good for CO2 as a gas that warms Earth (Mars, for instance, has an atmosphere with 95% CO2, and it is not warm).