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It's funny that the article uses quantum mechanics to argue that complex numbers are "real", since I would argue that quantum mechanics shows that irrational nu
by drdec 4y ago
It's funny that the article uses quantum mechanics to argue that complex numbers are "real", since I would argue that quantum mechanics shows that irrational numbers aren't "real".
Quantum mechanics belies the idea of space bring a continuum and so you cannot actually physically manifest numbers like sqrt(2) and pi, because Euclidean right triangles and circles do not actually exist.
- rcxdude 4y agoSpace is quite continuous in quantum mechanics, it's only the interactions between particles which are quantised (in fact the governing equations of quantum mechanics are almost all continuous. It's only when you try to solve them that quantisation appears, in a similar way that a guitar string is continous but only certain shaped standing waves can exist on it).
- edgyquant 4y ago> mechanics shows that irrational numbers aren't "real". Yep the ancient philosophical math debate about what real even means beyond some points on a grid.