LastOneStanding said:
Quantum mechanics and electromagnetism are proven to obey the Second Law of Thermodynamics directly from their fundamental postulates.
Electromagnetism is. Quantum mechanics, however - cannot see how.
Second Law of Thermodynamics follows from T reversal symmetry.
T reversal symmetry applies if every pair of states which has any process connecting them also has a reverse process and the ratio between the rates of process and reverse process is at all times equal to the ratio between phase spaces of second and first states.
Is the restatement above correct?
Now, T reversal or microscopic reversibility causes Second Law of Thermodynamics by forbidding Maxwell demons.
You can put any sort of frequency selectors between two radiating bodies. Refracting prisms, diffraction gratings... whatever you like, or the bodies themselves may be absorbing and THEREFORE emitting in a narrow spectrum range and transparent or reflective at all wavelength... but in whatever window is available, the hotter body would be emitting back more light than the cooler body can be sending out.
Note that quantum mechanics is not limited to electromagnetism.
Strong interation obeys T reversal symmetry, and therefore Second Law.
But weak interaction includes CP violation, which is allowed and included in quantum mechanics.
Quantum mechanics is supposed to observe CPT symmetry.
And from observed violation of CP symmetry, it is claimed that T reversal symmetry should also occur.
If so, then weak interaction should permit operation of CP violating Maxwell demons.
Therefore allowing violations of 2nd Law of Thermodynamics, and operation of perpetuum mobiles of 2nd kind. Not 1st kind, of course, because weak interaction does conserve energy even in CP violating interactions.