This may sound weird to some…

All of the basic constants in physics (Planck’s constant, the speed of light, the gravitational constant etc.) are somewhat random. This is the believe we have today. String theory predicts other universes, where all of these constants may be different. In other words, there is no specific reason that they all have the exact value that they have. It's like the values has been given to them at some point in our Universe’ history.

What about all of the mathematical constants, such as π (pi) or e (Euler's number)? Is it (in any theory) possible that these constants have a different value in other universes? Or is their value bound to be exactly as they are, in any sort of world. That is, are the mathematical constants more fundamental than the physics ones? And if so, how can we prove that they are?

Has this question ever been discussed by anyone?

I’ve hard to imagine a circle which has a circumference 5.0 times bigger than its diameter. But on the other hand, I can’t see just exactly why it has to be this weird number 3.1416…

*I’m a little confused about where to post this – In the mathematical or the physics section. I’ve come to the conclusion that this is physics question, about the very basis of mathematics. Besides, even the greatest mathematician, with no knowledge of the world of physics, wouldn’t be able to answer this question. So please, don’t move this thread *