The quotient-space real formulation of quantum mechanics is shown to be standard complex QM in real notation, not an independent real-amplitude theory, because it requires a hidden complex structure J, a superselection rule, and a balanced tensor product isomorphic to the complex tensor product.
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Hidden Complex Structure in Quotient-Space Real Quantum Mechanics
The quotient-space real formulation of quantum mechanics is shown to be standard complex QM in real notation, not an independent real-amplitude theory, because it requires a hidden complex structure J, a superselection rule, and a balanced tensor product isomorphic to the complex tensor product.