The point is not to use the same thing as RSA, but that there is a pattern that once was not known and when it was discovered it was a big break through. It's math, there's a pattern, I guarantee it, especially since there is a finite number of combinations, making it a rational namespace not an irrational one like the number pi.
I'm sorry to tell you this, but you're spewing nonsense. "rational namespace"? The coordinates of points are fricking modular groups. There aren't non-integer rationals here. They're INTEGERS.
Assumption that a finite field has a pattern just because? Yes, of course there is a pattern, but if you try to find it, you're going to have to try every private key anyway.
What formal mathematical or cryptographic education do you have? Or are you just spewing unfounded crap?