The second law of thermodynamics states that entropy always increases, which means that if there was a point where there was heat inside a box, the heat would dissipate throughout the box. If we wanted to return all that heat to the original point, we would have to add energy to move the heat to its original point. Wouldn’t this mean that energy is lost when the heat dissipates?
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The heat has to dissipate somewhere. If your system is small, then your system could (appear to) violate thermodynamics, as you would have “lost” energy when that energy (heat) went somewhere else. Of course, that heat (energy) is still there, the law hasn’t been violated, we’re just choosing to ignore it.
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