The fact that we can directly detect and measure the absorption and emission spectra of specific gas components of the atmosphere and confirm these in direct measurement of the atmosphere is a pretty compelling piece of empirical evidence.
It is a compelling bit of evidence that certain molecules absorb and emit Ir but it doesn't even begin to support the hypothesis of backradiation or the greenhouse hypothesis in any way.
Actually these simple aspects are the mechanisms at the core of the atmospheric greenhouse effect.
In confirmation of these direct measurements, we can also directly measure the amount of longwave IR energy the surface of the earth emits (roughly 6.2 x 10^24 J) and we can directly measure the amount of longwave IR energy that leaves the top of the atmosphere (roughly 3.8 x 10^24 J) and demonstrate the ~2.4 x 10^24 J that creates our ambient or "atmospheric greenhouse" warmth.
That does not constitute evidence of the greenhouse effect.
This is the greenhouse effect. Visible light from the sun passes through our atmosphere that is largely transparent to visible wavelength light. This light is absorbed by the surface material of our planet. The surface material of our planet re-emits this energy in the form of IR light. The GHGs in our atmosphere (water vapor, CO2, CH4, NO, etc.,) are opaque to IR light, they absorb and then re-emit that IR light slowing its exit from our atmosphere. This delay from the multiple absorption and re-emission by the atmospheric GHGs represents the ambient thermal background warmth.
There is much more, but these are direct measurements that really don't involve any complicated maths are relatively straight-forward, simple to understand and casually (in the modern era) demonstrable.
Actually, there is no more.
We haven't more than outlined the sketch and scratched the surface. There are the methods by which substances actually absorb photons all the way down to the energy state changes of electron orbitals and the relationship between such and quantum numbers and how this allows us to calculate the wavelengths of subsequently emitted photons as the electrons shift from unstable, high energy orbitals down to more stable, lower energy orbitals. Much, much, more,...but, it's best not to try and teach people how to swim by throwing them, fully clothed, off the deck of a cruise ship in 20 foot seas.
Because you have remained civil, I am going to try one more time with you to demonstrate your error in the simplest terms I can manage. If you don't mind, I would like to do this step by step and have a bit of conversation between rounds to be sure that we are in agreement before proceeding or hash out any disagreement.
perfectly fine, it is often the case that people cannot learn new information until they understand how and why what they currently believe is mistaken.
An object can become warm via the absorption of electromagnetic radiation.
Okay, exactly what do you understand "warmth" to be and in as precise and detailed a manner as possible, describe how you understand the process of how "an object" absorbs EM photons (as all EM energy is transferred via photons).
I believe we are both in agreement with that basic fact.
we shall see.
Where we split though is at the idea that an object being passively warmed can warm its source of heat.
several clarifications required:
How (and why) are you distinguishing "passively warmed" from actively warmed, ...or just warmed?
What are these "objects" and "sources" composed of?
As precisely and detailed as you can, how is the energy generated, transmitted, and absorbed?
The answers to these questions are very important in quantifying what we are talking about and in clearly understanding what is actually occurring.
First, if an object that is being passively warmed could warm its source of heat, energy could be multiplied simply by placing objects that radiate IR in proximity to each other and let them mutually radiate IR and collect the excess. This is impossible, however, because the mutually exchanged IR cancels, it does not multiply as suggested by the greenhouse hypothesis.
Nothing in the atmospheric greenhouse effect theory suggests, or implies, a multiplication of energy, the actual function is most similar to an insulation that retards the escape of the initially delivered solar energy.
Let me make a quick illustration and ask a question or two and I will stop for the evening and await your response.
Before I begin, pardon the graphics. If I were a graphic designer, I wouldn't be doing the work that I presently do.
To make this simple, lets let object "A" represent a warmer object radiating its energy to an infinite heat sink "C" maintaining a temperature of absolute zero. Now we will add object "B" into the picture. It is within object A's field of radiation so it will be warmed.
I am guessing that we are in agreement to what happens when object "B" is introduced into the picture.
Based on discussions so far, I'm not so sure. My primary concern is that you are making some generalized assumptions in your considerations that only approximate reality under very specialized hypothetical situations that are not consistent with real-world circumstances.
Are these objects composed of discrete atoms?
Are we talking about EM radiations?
How are you defining "warmed"?
At some point, the temperature of object B will come to equilibrium and at that point, object "B" will begin to radiate heat. At this point, object "A" is subject to more radiation than it was before object "B" reached such a temperature as necessary for it to begin radiating energy which was prior to the introduction of object "B" zero.
What is the difference between the radiations of an object at 50 Kelvin and an object at 500 Kelvin?
What leads you to believe that an object must achieve equilibrium before it begins to emit any radiation?
That remains to be seen.
Now, if the idea of backradiation is true, cooler object "B" will be able to warm warmer object "A". Object "A" will become warmer, for free, due to the mere presence of object "B". Objects "A" and "B" together will be able to radiate more energy into the pictured universe "C" simply by introducing object "B" into the radiation field of object "A".
Is that your contention? Are you saying that more energy enters into universe "C" simply by putting object "B" into the picture even though object "B" has no source of energy other than object "A".
No, if the only energy in the system is the original energy, no additional energy will be created, but when object A sheds energy it loses some of that original energy, and if some of the energy that B receives and re-emits is directed at A then A will receive that returned energy that it initially emitted. (to stick within the general guidelines of your model)
When a single electron is in an unstable, high, energy state, it emits a photon and drops to a more stable, low energy state. as soon as it emits the photon and transitions to a low energy state, it is then capable of absorbing a new photon and shifting back up into an unstable, high energy state and repeating the process. As far as the electron is concerned, it doesn't matter whether the photon comes from a neighboring atom within the same object, or an atom in a distant object.
But we can explore and discuss this further tomorrow, after I've had some time to ruminate upon the exchange and information so far and examine your responses and comments to this post.