It's a good questiopn why that is so. But I wouldn't draw from that the conclusion that Universe somehow "calculates Pi", and then puts it in all the forces it "has" so it turns out in our formulas. That is rather fantastical way of thinking and I do see its poetic appeal. A bit like "God doesn't play dice, or does he?"

What is calculation anyway we may ask. Isn't it just term-rewriting?

I think this shows how bad the definitions for computing are, there's a big rethink needed, but unfortunately it needs a galaxy brain to do it!

> It's a good questiopn why that is so

Pi is just a description used for calculating perfectly/near-perfect spheres. A sphere is nature's building block, since every point on it's surface is the same distance from the centre.