Not a joke question.
I wrote a hypothesis paper about this and I can't find evidence it's ever been attempted. Dolphins can't fully sleep the way we do because they're voluntary breathers. So they evolved unihemispheric sleep, one hemisphere at a time, while the other keeps them surfacing. It works, but it means they may never fully rest, and whether they experience anything like REM sleep is genuinely unresolved in the literature.
My question is: what if the reason they can't achieve deeper rest isn't neurological, it's mechanical? Maintaining position at the surface requires constant muscular effort. A purpose-built apparatus that held them neutrally buoyant at the surface with blowhole access might remove that constraint entirely.
Northern fur seals switch between unihemispheric and bilateral sleep depending on whether they're in water or on land. The same brain, two different sleep modes, depending on environment. What if dolphins still have the neurological capacity for bilateral sleep. It just may never have had the right conditions to express it.
Would a dolphin use a bed if you gave it one? And if it did, what would its brain do?
I wrote this up as a formal hypothesis paper if anyone wants to dig into the citations and methodology. Curious whether anyone here knows of existing research I missed, or has thoughts on whether this is worth pursuing.