Earlier quoted context omitted.
That's true, but you also can't, in general, churn out physics or mathematics PhDs from anything that can realistically be called a four-year undergraduate program.
I would object to the mere suggestion that a "highschool" could possibly turn out even physics or mathematics undergrads. The best you're going to do is end up with a situation where realisticly all you've done is had the students skip highschool and go straight to college. "Highschool" implies a lot more than just "that place you went to for the last 4 years of a 12 year education" ; or perhaps more accurately: "col…
I regret not doing this. I have talked to a couple people who have done it by taking community college classes part-time and transferring into state full-time.
I think the rest of the world's model is better than what we do. Separate those that will learn to work with their hands and those that will work with their mind and train them respectively in high-school.