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Nice article, but invoking quantum mechanics to justify imaginary (really complex) numbers is a bit of overkill. Every electrical engineer worth his salt has used complex numbers to represent phase angles since Maxwell was a demon.
One of my professors argued that "imaginary numbers" is probably the worst name that could have been assigned to the concept. It's a historical curiosity now at best.
They are a convenient way of expressing that there are certain quantities that can't be expressed by a single number, such as magnitude and phase or distance and direction. Even at that they are a special case where the only two numbers are needed to express a quantity, and can be generalized further into even more dimensions.
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