this post was submitted on 22 Jan 2024
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Science Memes

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Magic π (mander.xyz)
submitted 10 months ago by [email protected] to c/[email protected]
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[–] [email protected] 28 points 10 months ago (1 children)

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?

[–] [email protected] 20 points 10 months ago (2 children)

Honestly probably not that many more. My guess since I'm too lazy to do the math is less than 100.

[–] [email protected] 24 points 10 months ago (1 children)

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.

[–] [email protected] 19 points 10 months ago* (last edited 10 months ago) (1 children)

Well that's only 26 more digits, so we're probably good at 100 digits of pi. [citation needed]

[–] [email protected] 15 points 10 months ago

log_10(size of observable universe / planck length) = 61.74... so like 63 digits of precision for everything are enough

[–] [email protected] 4 points 10 months ago

The width of a hydrogen atom is 3.1*10^24 Planck lengths. So, yeah, 65 digits of pi ought to do it.