I looked at your link, and there is not much there except for the conclusions of the author. He does say that you can find order within random data, but that has been a well-known fact for awhile. You can use things like artificial neural networks to find meaningful information within seemingly random data. And chaos theory itself is designed around the fact that random systems are bounded, confined by simple rules called "strange attractors."

As to the nature of free will and determinism, consider what happens when you make a decision. The whole point of making a decision is to reduce possibilities, to say yes to something and no to many other things. That is the root meaning of de-cide: "to cut off." As an example, let's say I want to plant a tree in my garden. Until I actually plant the tree, I have many possible choices. I can choose what kind of tree to plant. I can not plant a tree at all. But once I have planted that tree, all sorts of restrictions on my free will come into play. If I want fruit from that tree I am compelled to provide that tree with whatever specific requirements it has, like water, fertilizer and shade. And if it is a peach tree, I cannot expect to get lemons from it, or any other fruit besides peaches.

The idea that nature is governed by math is not new either. The author of the link you provided is merely stating one specific case of a possible "golden constant," but there's nothing novel about that; there are many, many things in nature that are deeply rooted in the beauty and grace of mathematics, the simplest of which I can think of is the growing of crystalline structures.