My name is Jason D. Padgett, I'm a math/physics student in Washington state and I would like to float this idea. I believe that I have found where Pi physically ends. Since the Planck constant is the smallest interval of space that can be measured and still be relative then Pi would physically end at:
Two times the interval from -1 to 1 of the square root of 1-x^2 dx with
I apologize for typing this out but the computer I'm on doesn't have equation writing capabilities. In the above equation h=Planck length.
To calculate pi to any decimal we can use a trig formula:
f(x)=xsin(pi/x) As x approaches infinity f(x) will approach Pi. In this equation x stand for the number of sides to a circle. But again, this will physically end when each side to the circle equals one Planck length.
For those who argue that the Planck length may not be the smallest measurement I would answer that this equation will work as long as there is ANY limit to how small you can measure space.
What do you think?
Jason D. Padgett