... at least, not for me. The bottleneck is something like mental energy. I can only make progress on a (subjectively) difficult topic for a handful of hours (at best) each day before hitting severe diminishing returns, and being forced to "relax" for the rest of the day.
In light of the above, the obvious thing to optimize for the sake of "making progress on difficult things" is the amount of "mental energy available per day", not "waking hours available per day". Sleep seems to serve the function of "restoring mental energy"; but I get diminishing returns on sleeping longer (in a single block) as well; for me, there doesn't seem to be a big difference in "available mental energy" during a day whether I'd slept 6 hours or 9 hours.
So, since I'm getting diminishing returns on both my waking and sleeping hours, the obvious thing to try is to split the day up into multiple "sub days", i.e. some form of polyphasic sleep. Ideally, I'd like to spend a larger total fraction of the day asleep; this contrasts things like "the Uberman's sleep schedule", where the goal is to have as much waking time as possible (which, through this lens, is pure folly).
Have any of you (or anyone you know) had any success with something like this?
There is a book "Daily Rituals" by Mason Currey which looks at the practices of various high achievers. Few were able to achieve much more than 4 hours a day of sustained high calibre intellectual work*. This suggests to me that going much past this is difficult as you would think others who could work harder would do so and win.
A typical day would look like this
1. Hard work in the morning for 4-5 hours with coffee or breakfast.
2. Lunch then take care of business.
3. Relax in the evening.
A nap at lunchtime can help you to eke out another hour or so (as in thar study of violinists who made it to become concert solists - which I can't find right now). Personally I now see sleep not as wasted time but as a useful practice that helps me to learn and to exercise hard or to deal with emotionally challenging situations from the present or the past.
I think people should focus on getting in the 4 hours a day, which is hard enough. If you do that in a goal directed fashion you are likely to be awesome. And the good news is that you can also manage your life and enjoy yourself.
* Note we are not talking about busy work or repetitive work. If there is not a feeling of effort you are probably not working very hard. One example of hard work is deliberate practice.