this post was submitted on 23 Apr 2026
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Science Memes

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top 8 comments
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[–] lauha@lemmy.world 20 points 10 hours ago

Explanation?

[–] ignotum@lemmy.world 18 points 12 hours ago* (last edited 12 hours ago) (2 children)

How on earth can an infinite dimensional sphere be able to agree to a contract, how would it even sign it?

[–] Lodespawn@aussie.zone 7 points 12 hours ago (1 children)

Bet that sphere is just fantastic at plastering though ..

[–] derek@infosec.pub 1 points 2 hours ago

Yet I never seem to catch 'em at the local pub.

[–] Chronographs@lemmy.zip 2 points 11 hours ago

As the tip of an infinite dimensional ballpoint pen

[–] AnarchoEngineer@lemmy.dbzer0.com 3 points 9 hours ago (1 children)

Also isn’t an infinite dimensional sphere practically hollow?

(If you were to integrate the sphere to calculate volume like you do for lower dimensional ones, you would sum the volume of shells—which is just their surface area times a thickness—making it up. With infinite dimensions, each shell becomes infinitely larger than the preceding shell no matter how fine you make the slices. This means the largest shell contains basically all the volume.)

[–] pankuleczkapl@lemmy.dbzer0.com 3 points 8 hours ago* (last edited 8 hours ago)

This reasoning is pretty weird, but the conclusion is basically right. That is, there is absolutely no way to extend the conventional notion of volume to Rinfinity, which is basically what most people would imagine is the infinite equivalent of our dimensional space. Edit: what I mean by Rinfinity is a bit ambiguous, but let's say for the purpose of a hypersphere we want something like l^2 hilbert space to ensure no vectors with infinite length appear, then we have a separable space and the proof is complete.

[–] Crackhappy@lemmy.world 1 points 11 hours ago

There is no sphere but s p h e r e itself.