Complex-number real-number part indicates physical measurement. Imaginary-number part, and interactions between real and imaginary numbers, account for factors affecting solutions or processes. Complex-number multiplication is commutative: (a + b*i) * (c + d*i) = (c + d*i) * (a + b*i). Other complex-number operations can be non-commutative, so complex-number operations can represent all physical interactions. Complex-number functions and series can represent physical states or processes, because they can model translations, rotations, reflections, inversions, and waves, including interference, superposition, resonance, and entanglement. Complex-number operations make complex numbers, not new number types, and so can model physical situations, because physical interactions make only existing physical properties, not new ones.
Perhaps, brain is like real numbers, and mind is like imaginary numbers {complex number analogy}. Like real and imaginary numbers, brain and mind are separate and independent but can interact.
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Date Modified: 2022.0224