It seems interesting, however my personal philosophy differs a bit. Here is a quote from the link:"
it is plausible that it is the exceptional among all mathematical structures"(Nature)
I personally don't see nature as a mathematical structure.
I believe Math to be a man made logical relationship tool that we try to apply to nature. I don't think nature knows anything about math, it simply often understands the best way to serve it's means. Many flowers are parabolic in shape, by nature. But, I think nature is simply following the correct path which is what man happens to call a parabola,(Parabolas have a mathematical formula/definition).
We need to make sure we don't have the tail wagging the dog by saying the flower shape follows the formula for a parabola.
When you try to apply math to nature or physics, most of the time it doesn't fit very precisely, we need fudge factors. I think math is a great tool for man, it is the best tool for many applications, but often it falls short in nature or physics. Math is useful for describing nature, but I'm not sure nature understands anything we would call math.
Just my .02