this post was submitted on 20 Jun 2024
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Science Memes

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[–] [email protected] 10 points 4 months ago (3 children)

No, by our current understanding there is no length smaller than a Planck length, and any distance must therefore be divisible by an integer. That is, the length is made up of discrete quanta. Pi, or any other irrational number, is by definition not divisible by an integer, or it would be a ratio, making it rational. This has nothing to do with the accuracy or precision of our measures.

[–] [email protected] 12 points 4 months ago

Planck length isn’t the smallest possible distance. It’s simply the smallest distance at which our current understanding of physics still holds up. Beyond that, our current models break down, but our current models are very incomplete

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

Mmmmmm don’t know about that.

The Planck length is the minimum resolvable accuracy of the universe. That doesn’t mean it’s a building block like the electron is.

[–] [email protected] 5 points 4 months ago

I believe you're mistaken. A Planck length is the minimum length we can extrapolate down before physics gets weird, but that doesn't mean it is the smallest possible length anything can be.

And an irrational number does exist as a discrete unit, it simply cannot be described as a fraction. Case in point, if you could create a spherical particle that was exactly 1 Planck length across, it would have a circumference of exactly π Planck lengths.

By your logic, such a theoretical particle could not exist because the circumference includes an irrational number in the size of the body.