Do imaginary numbers (ignore the confusing terminology) as in the square root of -1 "exist"? Does not empirical reality (i.e. QM) suggest that they do?
What in QM suggests that the imaginaries exist? I'm not saying you are wrong, I'm just asking what gave you this idea and trying to figure out how to learn more about it.
My understanding of geometry makes me feel that negative numbers themselves don't really "exist" and are just conventions on the number line. This may be keeping me from just automagically getting what you are saying. In relativity the square root of a negative is the sign that logic has gone beyond merely breaking down (as in the singularity) and begun speaking about nonsense (as in traveling faster than light).
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