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But if a system is small enough, it is indeed possible for entropy to decrease every once in a while just by chance.


I don't like her example with the dough, it's too easily misinterpreted, but consider the box of gas example. The box is divided by a partition with a small hole through which molecules can (and do) pass. If there are just two molecules in the box, the equilibrium state would be one molecule in each side. Would it not be possible, occasionally, to find both molecules in one side?

Let’s go further into your field. Our divided box (no need for a hole, now) has one quon in each side. Doesn’t uncertainty say we could find both in one side in any particular observation?

There never was nothing.