https://writings.stephenwolfram.com/2020/04/finally-we-may-have-a-path-to-the-fundamental-theory-of-physics-and-its-beautiful/ ?

1.2% chance is not significant enough in physics. You can find a lot of such coincidences if you go looking for them. Like people claiming that Pi was relevant in the construction of the pyramids.

I saw a physicist "prove" that Pi was used to construct a random bicycle frame. You just have to juggle the numbers around a bit.

Yes, if something exactly matches 2π⁵/15 there might be significance to it. But something being similar to some fraction or factor of Pi or so says absolutely nothing.

I think xkcd has a chart of crazy coincidences like this. I can't be bothered to look it up.

circle circle circle

There are so many numerical expressions and many physical constants. The number of possible combinations is huge. It's fun but not surprising to see some expressions approximately match a physical constant due to chance alone.

1.2% chance is not significant enough in physics. You can find a lot of such coincidences if you go looking for them. Like people claiming that Pi was relevant in the construction of the pyramids.

I saw a physicist "prove" that Pi was used to construct a random bicycle frame. You just have to juggle the numbers around a bit.

Yes, if something exactly matches 2π⁵/15 there might be significance to it. But something being similar to some fraction or factor of Pi or so says absolutely nothing.

I think xkcd has a chart of crazy coincidences like this. I can't be bothered to look it up.

I've a nagging suspicion that there are a lot of numbers that can be expressed as a π polynomial (or whatever).