please explain to me how you think the two bars will equilibrate to the same temperature in Spencer's experiment even though one is heated and the other is not.
Because they are in a vacuum Ian where conduction and convection into the atmosphere are eliminated. Radiation is the only means of bleeding off heat and the bars (plates;same thing) are in close proximity. They will achieve equilibrium or very close to it.
As I have already told you, volumes have been written about the issue of heat within vacuum tubes from the old days when everything used them. In a vacuum, materials heated and passive reach an equilibrium temperature very quickly. Great pains had to be taken in the design of vacuum tube components using materials of widely varied absorptivity and emissivity, and wild heat sink designs were fabricated precisely to keep the internal components of the vacuum tube from reaching thermal equilibrium. It doesn't happen in the open atmosphere because convection and conduction are in operation to carry energy away from the heat sink. Not so in a vacuum.
Face it Ian, math and the laws of physics are stronger than your faith in a mythical greenhouse effect.
The math is correct and is a correct useage of the Stefan-Boltzman law dealing with blackbody radiation. You are accepting your intuition over hard mathematical evidence that has been proven reliable for over a hundred years.
What else need be said?
you have said many foolish things in the past but that is right up there with saying that a blanket make you colder.
Funny you should mention that Ian, and state it with your usual confidence as if it were a statement of fact. Sorry Ian, the second law of thermodynamics defeats you again. The fact is, that a blanket does reduce your surface temeprature. Once again, your intuition, belief, faith, or whatever intermal system your intellect runs on, has lead you off in the wrong direction. The fact is, Ian, that putting a blanket over your body does make you colder just as the second law of thermodynamics predicts.
Your problem Ian, is that you believe you are smarter than the laws of physics and the math that proves those laws. You aren't.
"Human Body Emission
As all matter, the human body radiates some of a person's energy away as infrared light.
The net power radiated is the difference between the power emitted and the power absorbed:
![]()
Applying the Stefan Boltzman Law
![]()
The total surface area of an adult is about 2 m², and the mid- and far-infrared emissivity of skin and most clothing is near unity, as it is for most nonmetallic surfaces.[ Skin temperature is about 33 °C, but clothing reduces the surface temperature to about 28 °C when the ambient temperature is 20 °C. Hence, the net radiative heat loss is about
"![]()
If you put a 20C blanket (which is colder) on a warmer 33C body, the surface temperature is going to reduce to about 28C. Heat flowed from the warmer body to the cooler blanket just as the 2nd law of thermodynamics predicts.
It is true that the blanket will trap warm air between the body and itself, but that heat will not increase the temperature of the body.
This buisness is a matter of the laws of physics and the mathematics that prove them Ian. Not, as you seem to believe, a matter of faith. You pit yourself against the laws of nature and you will lose every time.
I had to read all these posts to find where this perversion of the Stephan Bolzmann equation came from...the one You asked me about...:
![a4c6451a48ecec6d54b27fcf575c6500.png](/proxy.php?image=http%3A%2F%2Fupload.wikimedia.org%2Fwikipedia%2Fen%2Fmath%2Fa%2F4%2Fc%2Fa4c6451a48ecec6d54b27fcf575c6500.png&hash=0733c15993fbf09543c03313089e4dc0)
And it turns out it came from Wikipedia...I only use "Wiki" because I don`t have the time to scan in a page of a real physics book and upload it.
Amazing how "climatology" can transmute this into the kind of total crap, like "back radiation"...and then have a second & cooler body "radiate energy" back to the hotter body where it got the energy from and then they go on and claim that this will now raise the TEMPERATURE of the original emitter.
By now everyone is familiar with the dimensions used in the Bolzmann equation, ...?
So now let`s go to the altered Bolzmann equation, the way "climatology" is trying to exploit it and to the question You (wirebender) asked me:
Stephan Bolzmann never made this claim..here again somebody felt free to ride Stephan Bolzmann`s coat tails and added this amendment into the Wikipedia pages.Specifically, the claim that p=sigma (T^4 - T^4) represents the same physical processes as P=(sigma T^4)-(sigma T^4)
Here is Bolzmann`s original law exactly as You would find it in the textbooks:
![6a199e4a2a95a857f1021dd156421036.png](/proxy.php?image=http%3A%2F%2Fupload.wikimedia.org%2Fwikipedia%2Fen%2Fmath%2F6%2Fa%2F1%2F6a199e4a2a95a857f1021dd156421036.png&hash=c1ee1100fd536d6260081ec85bc53b6c)
This equation expresses the energy flux in watts per square meter at a given temperature...
But in no way is it valid to do this form of this law for such a thing as "BACK-RADIATION":
(I had to change Your "T`s" to T1 and T2)p=sigma (T1^4 - T2^4)
Why not....?
Because that would also state that if both radiators were at the same temperature no matter how hot that the outcome would be 0....as in zero watts/m^2...and that would apply over the entire system.
And in no way can anybody say that there would be a zero energy flux condition between say 2 suns that are equally hot...
Obviously that paradox does not just happen when T1= T2, but over the entire range as T1 and T2 diverge in magnitude.
I kept saying that no second body, no matter what has the ability to alter the heat radiation energy flux of any other one...
The author of this equation that was published in Wikipedia
![a4c6451a48ecec6d54b27fcf575c6500.png](/proxy.php?image=http%3A%2F%2Fupload.wikimedia.org%2Fwikipedia%2Fen%2Fmath%2Fa%2F4%2Fc%2Fa4c6451a48ecec6d54b27fcf575c6500.png&hash=0733c15993fbf09543c03313089e4dc0)
Also never even claimed this either, because he is expressing the heat INSULATION effect of a heat INSULATOR and nothing else.
He is not talking in any way shape or form about "back-radiation"
And what he is saying about HEAT INSULATORS is EXACTLY RIGHT...
Also the second temperature the "T0" to the 4.th power anywhere in physics has the meaning 0 degrees Kelvin...and if the author of this equation meant anything else with it, that would be nonsense, since if the T is already expressed in Kelvin, then there is no need to do this subtraction.
That subtraction has to be done only if You are expressing T in degree Celsius
I am sure that who ever posted it @ Wikipedia never even dreamed what "climatologists" would do with it...
They are not even adhering to his equation either, because they don`t
do a subtraction with T1 and T2 they ADD them, and have used the "T0" as a second so called "cooler black body" assigning a Temperature > ) degrees Kelvin for their back radiation lunacy.
So now poor Bolzmann who must be turning over in his grave by now has been ab-used to "T1^4-T0^4 and T0 has been assigned "climatology" values way above zero degrees Kelvin
Like I already told You. IanC...be careful what kind of "physics lessons" You get in "climatology"...or when You start quoting equations that You don`t fully understand.
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