Fractals, "little worlds"

In my understanding, fractals contain within themselves the variable which will cause them to proliferate in a certain pattern. the first change that occurs from its "normal" progression is a stamp for what will continue to occur down the line. Fractals can be broken down into parts with each part being a copy of the whole. They are present in real natural complex systems, like clouds, mountains, and turbulence. Their perimeter keeps getting infinitely larger. What if our solar system was one part of a fractal equation that repeats itself down the line and is re-represented over and over and over and over and over....?