Comment on Irrational

• kogasa@programming.dev ⁨4⁩ ⁨months⁩ ago

  That is not a definition of the real numbers, quantum physics says no such thing, and even if it did the conclusion is wrong

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  • bstix@feddit.dk ⁨4⁩ ⁨months⁩ ago

    Let’s have a look.

    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.

    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.

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    • kogasa@programming.dev ⁨4⁩ ⁨months⁩ ago

      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.

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      • bstix@feddit.dk ⁨4⁩ ⁨months⁩ ago

        Come on then, enlighten the average Joe.

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    • Natanael@slrpnk.net ⁨4⁩ ⁨months⁩ ago

      Quantum mechanics still have endless ratios which aren’t discrete. Especially ratios between stuff like wavelengths and more

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• wholookshere@lemmy.blahaj.zone ⁨4⁩ ⁨months⁩ ago

  They don’t make “discrete jumps” as in teleportation. They exist stable in discrete energy levels, but that doesn’t imply things don’t move continuously.

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  • bstix@feddit.dk ⁨4⁩ ⁨months⁩ ago

    ORLY?

    Please take your evening off to explain to the common man how electrons are distributed without restoring to quantisation.

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    • wholookshere@lemmy.blahaj.zone ⁨4⁩ ⁨months⁩ ago

      That’s not what I said?

      They’re “stable” energy states. That’s all.

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      • wholookshere@lemmy.blahaj.zone ⁨4⁩ ⁨months⁩ ago

        If you want my credentials, the second book is deriving the hydrogen atom.

        Image

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      • Ziglin@lemmy.world ⁨4⁩ ⁨months⁩ ago

        And that they might still move continuously. Which is inaccurate (see Planck length).

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