Yeah the penny is crazy OP. Ultimately, if something can be done, you can do it. Ignoring what you said for a moment, which is entirely true.
Get rich, create company that is focused on sleep research and ways to reduce/eliminate it while staying 100% healthy, unlimited funds, top minds, and every month you can help speed things up significantly.
And if it’s fundamentally impossible, you’ll still have plenty of other goals to choose from, and you’ll absolutely appreciate having the entire day free to do what you want while having to sleep, vs having to still go to work but sitting up all night.
The other catch is, while it states a cool down of 20 hours, functionally you’d generally have to be awake 23 hours, unless you had the luxury of being able to sleep at any time. Sleeping every 20 hours for 1 hour isn’t going to stay at a consistent time.