The human brain is capable of registering "X is moving" without being able to point to "X was over here and is now over there". This can happen visually with the rotating snakes illusion, or acoustically with Shepard tones, for instance. It's also pretty common on some psychedelic drugs.
Or if your inner ear is messed up somehow by illness, drunkenness, etc. (though what you then think is moving is yourself, or perhaps the rest of the universe around you).
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