this post was submitted on 22 Jan 2024
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Diameter of a hydrogen atom is all well and good, but how many digits of pi will we need to be accurate to a Planck Length?
Honestly probably not that many more. My guess since I'm too lazy to do the math is less than 100.
The diameter of a hydrogen atom is over 10,000,000,000,000,000,000,000,000 plank lengths.
So based on this post I have no idea.
Well that's only 26 more digits, so we're probably good at 100 digits of pi. [citation needed]
log_10(size of observable universe / planck length) = 61.74... so like 63 digits of precision for everything are enough
The width of a hydrogen atom is 3.1*10^24 Planck lengths. So, yeah, 65 digits of pi ought to do it.