If you've got an ultra wide monitor, maybe spin it and go for persistence of vision effect and a huge circular display? Could double as a fan to help spread all the heat generated by the GPU having to redraw it nonstop!
Most compositors already do redraw constantly, because it takes almost no work on a modern chip. An extra shift and rotate would not be noticed.
For a rotating persistence-of-vision display you need to redraw everything as soon as it's physical position has shifted a "pixel". i.e. non-stop, regardless of whether the content has changed or not.