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?