[baddox]

> 1 - P=NP is a mathematical problem. It has nothing to do with Physics.

I don't know if I accept that, although it's unclear what exact definitions you're using for those terms. P=NP makes very real claims about the abilities of real physical objects like Turing machines. It's obviously about math as well, but I don't see how that precludes it from being about physical qualities of physical systems.

> 2 - Nature has no problem whatsoever solving complicated equations.

Solving some complicated equations, no doubt. But I'm not aware of any evidence suggesting that nature can easily solve all complicated equations.

[dllthomas]

"the abilities of real physical objects like Turing machines"

Or at least any physical approximation of theoretical constructs like Turing machines.