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.
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.)
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.
That is not a definition of the real numbers, quantum physics says no such thing, and even if it did the conclusion is wrong
Let’s have a look.
https://en.m.wikipedia.org/wiki/Irrational_number
https://en.m.wikipedia.org/wiki/Quantum_mechanics
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.)
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.
Come on then, enlighten the average Joe.
Google it? Axiomatic definition, dedekind cuts, cauchy sequences are the 3 typical ones and are provably equivalent.
A real number is the set of both rational and irrational numbers. Nothing about continuous anything.
It is exactly that though.
Irrationel and rational numbers are both real.
Quantum physics is limited to the quantum, hence the name.
Being continuous is not actually a requirement of being real.
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Quantum mechanics still have endless ratios which aren’t discrete. Especially ratios between stuff like wavelengths, particle states, and more