this post was submitted on 20 Jun 2024
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Science Memes

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Irrational (mander.xyz)
submitted 7 months ago by fossilesque@mander.xyz to c/science_memes@mander.xyz
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[–] bstix@feddit.dk -1 points 7 months ago* (last edited 7 months ago) (2 children)

Let's have a look.

https://en.m.wikipedia.org/wiki/Irrational_number

In mathematics, the irrational numbers (in- + rational) are all the real numbers that are not rational numbers. That is, irrational numbers cannot be expressed as the ratio of two integers. When the ratio of lengths of two line segments is an irrational number, the line segments are also described as being incommensurable, meaning that they share no "measure" in common, that is, there is no length ("the measure"), no matter how short, that could be used to express the lengths of both of the two given segments as integer multiples of itself.

https://en.m.wikipedia.org/wiki/Quantum_mechanics

Quantum systems have bound states that are quantized to discrete values of energy, momentum, angular momentum, and other quantities, in contrast to classical systems where these quantities can be measured continuously.

The conclusion is wrong, i agree. That's the joke of the meme.

(Keep down voting if it matters to you. I'm only trying to explain a joke. The top post is in agreement with my statement.)

[–] kogasa@programming.dev 2 points 7 months ago (1 children)

I'm fully aware of the definitions. I didn't say the definition of irrationals was wrong. I said the definition of the reals is wrong. The statement about quantum mechanics is so vague as to be meaningless.

[–] bstix@feddit.dk -1 points 7 months ago (3 children)

Come on then, enlighten the average Joe.

[–] kogasa@programming.dev 2 points 7 months ago

Google it? Axiomatic definition, dedekind cuts, cauchy sequences are the 3 typical ones and are provably equivalent.

[–] wholookshere@lemmy.blahaj.zone -2 points 7 months ago (1 children)

A real number is the set of both rational and irrational numbers. Nothing about continuous anything.

[–] bstix@feddit.dk -1 points 7 months ago (1 children)

It is exactly that though.

Irrationel and rational numbers are both real.

Quantum physics is limited to the quantum, hence the name.

[–] wholookshere@lemmy.blahaj.zone 3 points 7 months ago

Being continuous is not actually a requirement of being real.

[–] Natanael@slrpnk.net 2 points 7 months ago* (last edited 7 months ago)

Quantum mechanics still have endless ratios which aren't discrete. Especially ratios between stuff like wavelengths, particle states, and more