Once you reach the edge of the circle, you need to learn the physics of revolution discovered by Copernicus. You may need many many rounds for a tour of the universe.
The illustrated guide to a Ph.D.
Every fall, I explain to a fresh batch of Ph.D. students what a Ph.D. is.
It's hard to describe it in words.
So, I use pictures.
Read below for the illustrated guide to a Ph.D.
Imagine a circle that contains all of human knowledge:

By the time you finish elementary school, you know a little:

By the time you finish high school, you know a bit more:

With a bachelor's degree, you gain a specialty:

A master's degree deepens that specialty:

Reading research papers takes you to the edge of human knowledge:

Once you're at the boundary, you focus:

You push at the boundary for a few years:

Until one day, the boundary gives way:

And, that dent you've made is called a Ph.D.:

Of course, the world looks different to you now:

So, don't forget the bigger picture:

Keep pushing.
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