There was an old man from Peru
Who dreamt he was eating his shoe
He awoke in the night
In a terrible fright
And found it was perfectly true.

19th century chemist August Kekulé formulated his hypothesis of the Benzene Ring after a dream of atoms writhing like snakes then grabbing each other's tails (an ass-grab dream that amounted to more than wet sheets). Einstein developed his Theory of Relativity after a sudden flash of insight while riding on a street car when he wasn't even thinking about his work.

Nothing freaky there... just the conscious mind getting out of the way so the unconscious mostly-right brain can come to bear on the problem.