Of course you have bastardized it! The old version says heat (net energy) will not flow from cold to warm without work done.'/quote]
Sorry ian...but it doesn't. When the argument doesn't go your way, you just make it up don't you?
Clausius put it this way: "Heat can never pass from a colder to a warmer body without some other change, connected therewith, occurring at the same time."
Kelvin said it this way: "It is impossible, by means of inanimate material agency, to derive mechanical effect from any portion of matter by cooling it below the temperature of the coldest of the surrounding objects"
Planck said it this way: "Every process occurring in nature proceeds in the sense in which the sum of the entropies of all bodies taking part in the process is increased."
None of the statements of the second law mention net energy flow....net is a product of post modern science which all to often simply assumes that because the unobservable, unmeasurable, UNTESTABLE mathematical model says it, that it must therefore be true.
You have hidden behind the vague definition of the word 'energy'. All heat is energy, not all energy is heat. Wuwei (or someone) gave you fifty examples of heat transfer being described as the net exchange, including one from Einstein. Still you refuse to listen.
Sorry ian, but again, it is you who is hiding behind the logical fallacy of complexity....if heat is energy, then the second law states that energy won't move spontaneously from cool to warm...if heat is nothing more than the fingerprint of energy moving from one place to another, then the same is true...since energy won't move spontaneously from cool to warm, then there can be no fingerprint (heat) of such a movement happening.
Radiation is emitted according to the internal conditions of the molecule, not the average kinetic speed (temperature) of its possible target.
Radiation is emitted according to the internal conditions of the molecule if it is in a vacuum...if it is in the presence of other matter than it emits according to the difference in temperature between itself and its surroundings...sorry that after all this time, you are still unable to actually read an equation as simple as the SB equation.
The SLoT is now defined in terms of entropy (increasing disorder).
Based on that unobservable, untestable, unmeasurable mathematical model...and nothing more..and as a result, there is great confusion within the field of physics. There have been some very big guns who have pointed out the folly of trying to teach the second law as a matter of entropy rather than as energy transfer.
And you can go on and on and on in the description of your mathematical model, but at the end when the bottom line is reached, it is still just a model and it doesn't matter who, or how many accept it...it is a model...a model that can not be observed, can not be measured, and can not be tested...it is barely a hypothesis if one looks at it in terms of the scientific method.