The other dimension, what is it?

In many points, the main story line references to another dimension. It's in the third job advancement, when you go to the other dimension to fight a clone of the job instructor. You also are told Papulatus and Pink Bean are from another dimension. Is this the same dimension? Do you think we'll ever go there? Share your thoughts.

Also, this is in general since it doesn't belong in Amherst and wouldn't go anywhere else than that or general.