Quantum physics uses a parameter space that is curved. It is possible to cure this situation by converting the quantum state functions to distributions that have a flat parameter space.
Let ψ(q) be a quaternionic probability amplitude distribution (QPAD). ψ(q) can be used as a quantum state function of a particle. It can affect its own parameter space. It does that when it couples to a second QPAD. That is why its parameter space is curved.
Let ψ(q) be a quaternionic probability amplitude distribution (QPAD). ψ(q) can be used as a quantum state function of a particle. It can affect its own parameter space. It does that when it couples to a second QPAD. That is why its parameter space is curved.