It's a hard thing to describe, especially to English-speakers. We want to know how something works, what the process is, what the mechanism is. That's an algorithmic step-by-step way of seeing it, which just doesn't get us there. This is why the old guys tell us to "be quiet and practice," so that we discover it by doing it, where we eventually make a breakthrough that seems to come from nowhere. But it comes from dedicated practice, from the unconscious or the implicit: outside our normal conscious thought. (I have a Psych degree, by the way.)
I studied the phenomenon of insight (Eureka!) for a while, and one way to see it is as a back-and-forth practice of looking deeply, and stepping back. Of seeing the small picture, and the big picture. Of the left brain and the right brain. We western types focus on the left brain too much if we can't analyze something, it doesn't exist to us. If you want a heavy read on that left-right brain thing, look up Iain McGilchrist's
The Master and His Emissary. I think he has an RSA video along those lines.
Anyway, the people who have looked into it a bit more deeply are the Yiquan folks. Their practice is based heavily on Zhan Zhuang, but it's applicable to all forms. It's like conditioning for martial arts, and I think it's all about what you're looking for.
Where can you study Yiquan? Hoo boy, it's rare, mostly because to a lot of people, it's friggin' boring! Who wants to just stand there? But if you want an introduction, try this:
https://www.amazon.com/Yiquan-Beginners-Guide-Basic-Skills/dp/1257161199 . You might be able to find it as a PDF out there.