Is there unitarity, symmetry, or conservation when x^2 ± y^2 = 1? We square complex amplitudes to make them real. https://twitter.com/westurner/status/967970

Is there unitarity, symmetry, or conservation when x^2 ± y^2 = 1? We square complex amplitudes to make them real. https://twitter.com/westurner/status/967970148509503488 https://twitter.com/westurner/status/967970148509503488 : > "Partly because, mathematically, wavefunctions are vectors in a L^2 Hilbert space, which is complex-valued. Squaring the amplitude, rather Ψ∗Ψ=|Ψ|^2 is one way to ensure that you get real-valued probabilities, which is also related to the fact that […]" https://physics.stackexchange.com/questions/280748/why-do-we-square-probability-amplitude-why-not-direct-values#comment630152_280748 https://physics.stackexchange.com/questions/280748/why-do-we...