I've also read it several times before that physicists and scientists tend to achieve their best results by their mid-thirties. But I don't think the characterization necessarily works for physics/math/etc. like it does for baseball and athletics. There's just a major qualitative difference there -- e.g., athletes are forced to retire fairly young, whereas teachers are very rarely forced to retire until they are really nearing the end of their viable lifespan. Although I do agree that in something like physics, there is also a component of "mental athleticism", which just naturally peaks at a medium or youthful age.
Also, for a lot of subjects like physics or math, you probably won't be able to have a decent mastery of your work until around, say, age 25-35. So the simple fact of the matter is that you will always be past your peak for the majority of your practicing career. It's a bit sad, but again, I think it just shows that the concept of "peaking" may not be really as broadly applicable for academic areas.
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It's an interesting idea but I feel very skeptical about the generic plan. Personally, a revulsion for organized/standardized education is what drove me to look at things like Less Wrong in the first place. I think this is fairly common in the community, with many people interested in discussion of akrasia and self-work habits.
Also, considering the informality of ideas like "I want to be a good rationalist", I would expect this sort of thing to be much more open-ended and unstructured anyways. It doesn't seem to fit with the idea of a rigid system or a "boot-camp". It just seems contrary to the idea of rationality and free thinking.
I am also somewhat bemused by the character of the "application", where apparently qualification relates to reading of the sequences and SIAI in-house literature. I mean the level of self-masturbation is quite remarkable, not to be too cynical, but it seems to be setting the bar fairly low when you're treating a subject that has been actively discussed for thousands of years.
On the other hand I'm sure this is well intentioned and you have to start somewhere, so I apologize if my remarks seem overly caustic.