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How is
our knowledge of the particle's location essential here? To see what
I mean, replace the asymmetric piston assembly by a movable disk that
we can slide into the center of the cylinder at will, thereby
creating a partition. Now surely it doesn't matter in which half the
particle is located, the disk will move away from the region
containing the particle thereby transferring energy from the particle
to the movable disk. Well, I guess that's a question ;-)
I've got a feeling I'm missing the whole point of the Szilard engine,