(March 27, 2015 at 10:55 am)Chuck Wrote: what does scale up mean? Solving all the correct probabilistic wave function would result in 2nd law of thermal dynamics as a natural outcome?
Well that's a good question. In this case one would have to apply some concept of decoherence to end up with a classical statistical system. And one would try to carry over the quantum definition of entropy and see where one ends up.
The v.Neumann Entropy concept for mixed quantum states I linked to above can be relatively easily become classical Entropy if one plugs in a suitable mixed state corresponding to a classical statistical mixture. The difficult part is really seeing how this mixed state arises out of a big quantum system. Yep, understanding decoherence is the difficult part.
The fool hath said in his heart, There is a God. They are corrupt, they have done abominable works, there is none that doeth good.
Psalm 14, KJV revised edition
