And yet that flow from cool to warm has never been observed....it is a mathematical construct....unobservable....untestable.....unmeasurable.
We also went through that once before in a different thread.
Warmest March on record according to the Japanese Meteorological Agency | Page 35 | US Message Board - Political Discussion Forum
I will repeat the conclusion here:
The Cosmic Microwave Background has a temperature of 2.7 degrees K. Radio telescopes are hundreds of degrees warmer. Yet the CMB was able to penetrate the warmer atmosphere and strike a warmer reflector dish and be detected by a slightly warmer (4 deg K) sensor.
That is an “
observable … testable … measurable” counterexample to your misunderstanding of the second law of thermodynamics.