Is it true that the number "Pie" is a universal constant for the intrinsic shape of space-time?

Question

anonymous · Answer

Pi is a constant of nature, and you will find it in many a physical theory.  It does not fundamentally describe the geometry of space-time, though it does appear in the General relativity field equations as a constant of proportionality

anonymous · Answer

Short answer is no (unless you believe that the intrinsic shape of of space time is one of those shapes (like a circle, for instance) that can be described mathematically by a formula containing pi.

You should also realize that the value pi in a mathematical sense is "perfect" and relies on a perfect circle among other things so even though there are plenty of circle/sphere-like objects around, most of them are not perfect (eg the earth is not round).

So for this and other reasons mathematical descriptions of physical quantities are inevitably approximations and our measurements of physical quantities are also limited by the accuracy of our measuring devices.