You are simply CONFUSING and MISQUOTING the laws of thermo.. Thermo is actually MORE than one class. And I've told you several times that when heat moves by means of RADIATION it follows different rules than when it moves by Conduction or Convection.
Yep, you have said it more than once but the problem is that the laws of thermodynamics don't say it so if I must choose between your credibility and the credibility of the laws of thermodynamics, I am afraid I must goe with the laws.
The rules for radiation are essentially the same rules for LIGHT PROPAGATION. And folks who ASSUME that the solutions for ALL MODES of thermal propagation are exactly the same are gonna mess up...
The second law defines how radiated energy moves...from lower entropy states to higher entropy states. It isn't confusing and it is a one way street. Energy doesn't move spontaneously from a higher entropy state to a lower entropy state. If it did, and could be proven, rather than go on endlessly with these idiotic mind experiments, someone would simply do an experiment that proves it. No such experiment exists because it would be pointless trying to prove something that doesn't happen.
Except that there is....just as soon as you try to move energy from a higher entropy state to a lower entropy state.
Spencer has had his ass handed to him so many times that now he is asking if a greenhouse works on the greenhouse principle. The man has become a waste. He believes that he is measuring backradiation with his hand held infrared thermometer even after a manufacturer of such devices stated explicitly that they are designed not to detect atmospheric radiation.
Unless you allow the cooler ball to continue to radiate towards the warmer ball, you cannot solve the radiation equations.
DOES NOT MEAN that thermal flow RESULTS in warming of the hotter object. In fact -- the cooler ball will HEAT and increase it's flow out in all directions. But the hotter ball will cool more SLOWLY because of the proximity of the first ball. The flow (or flux) equations work. And no rules are violated.
It is not possible for heat to flow from a colder body to a warmer body without any work having been done to accomplish this flow. Energy will not flow spontaneously from a low temperature object to a higher temperature object. so sayeth the second law. Sorry guy, I just can't take you seriously when you are in opposition to the second law, or any physical law for that matter.
I believe that you believe it, but I don't. When your QM superceeds or causes the second law to be changed (fat chance) then I can take you seriously but till then....sorry.
There is no mechanism for the Ball #1 to stop radiating in the direction of warmer objects. Not for radiative heat flow. If you insist that it does -- tell me how it selectively stops radiating towards warmer objects. What if that warmer object is 10 meters away? Does some of the light not land on "warmer objects"?
There is no more selectivity with regard to the direction an object radiates than there is for which direction a rock falls when dropped, or which way electricity runs down a line, or which direction air moves when a tire is punctured and there is a force that determines all. We can't describe the mechanism but that doesn't mean it doesn't exist. Radiated energy only moves in the direction of more entropy....period.