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Correct me if I’m wrong, but the Schrödinger equation isn’t the only mathematical treatment of the stochastic nature of quantum phenomena. I thought matrix mec
by ace2358 4y ago
Correct me if I’m wrong, but the Schrödinger equation isn’t the only mathematical treatment of the stochastic nature of quantum phenomena.
I thought matrix mechanics was with real numbers and was mathematically equivalent. I also thought there were different statistical systems that included “negative” probabilities that can be used to describe wave packets without needing complex numbers.
I do agree that sometimes the maths leads you to a truth in reality. Though sometimes it doesn’t.
I’m not too familiar with QFT, does that require complex numbers?
- codeflo 4y agoWhat do you mean by “require”? Complex numbers can be represented as a 2x2 matrix of real numbers (a scaled rotation around the origin), so transitively, that’s true for any equation involving complex numbers.
- BreakfastB0b 4y agoI don’t remember exactly since it’s been a while since I read it, but in Scott Aaronson’s Book “Quantum Computing Since Democritus” which is about how physics informs what’s computable. He talks about how the behaviour of quantum mechanics follows fairly straightforwardly from considering how probability works with complex numbers / bloch spheres. You can’t properly reproduce Bell’s Inequality without them I think?