3 ms·
Which means it depends on the geometry of spacetime. If spacetime is quantized such that the Euclidean norm doesn't apply, then the value of pi will be differen
by SAI_Peregrinus 10mo ago
Which means it depends on the geometry of spacetime. If spacetime is quantized such that the Euclidean norm doesn't apply, then the value of pi will be different. See the "Extremal values of pi" paper[1].
[1]https://e.math.cornell.edu/people/Nikhil_Sahoo/files/pi_paper.pdf https://e.math.cornell.edu/people/Nikhil_Sahoo/files/pi_pape...
- anthk 10mo agoYou can define Pi without universal geometry. And it's still a constant, nothing arbitrary, unlike rot13 spoiler gur raqvat bs Pbagnpg juvpu vf vzcbffvoyr rot13
- jlokier 10mo agoPi falls out of infinite sums, exponentials and differential equations all over the place. It's a universal constant, first discovered via geometry, but it's independent of geometry. For example, pi = the square root of the sum of 6/x^2 over x = (1, 2, 3...). pi = the smallest positive value of ln(-1)/i. pi = half the period of non-zero solutions to the differential equation f = -f''.