2 ms·
Yeah, I agree. Here's another way to look at it: The Planck length is ~10^-35m. The diameter of the electron is not more than 10^-22m. It may be as small as
by A_D_E_P_T 4y ago
Yeah, I agree. Here's another way to look at it:
The Planck length is ~10^-35m.
The diameter of the electron is not more than 10^-22m. It may be as small as 10^-88m. (The Planck length sets limits on our ability to measure at such resolutions, but doesn't imply that nothing smaller can exist.)
If "bedrock reality" is granular, it may have an ultimate resolution of roughly 10^-90 to 10^-100m. This is small, but it's very, very far from infinitely small.
Now imagine a circle. In a universe that is not infinitely divisible, there's no such thing as a perfect circle. A circle of any sort will always have "pixels" at, say, a resolution of 10^-95m. Thus we dispense with pi.
And, in any case, you can't divide physical reality past that point -- so if you take a needle with a tip that measures 10^-95m, and you move that tip around a coordinate space, it will always be in a definite location that can be represented as some form of countable number.