Imaginary or Complex Numbers have been part of our mathematical knowledge since quite a time now. Though, I haven’t been exposed to complex-valued functions in biological systems. The domains and ranges of many (or all?) functions seem to be real or sub-real valued i.e. those functions expect and output real variables.This ‘real’ness of variables seems to be a pan-reality axiom- valid for biological, physical and chemical systems.
I have a few primary thoughts on this issue- I wonder that non-complexity in fundamental physical systems may be leading to the same in higher chemical and biological systems as physical systems form a basis for them and they possess such a non-complexity preserving developmental operator to make this happen. Also, it seems that many actual functions do not expect real valued inputs, but they get those as their input variables are constrained to be real valued in themselves, which still suffices to lead to non-complexity. And the key to incorporating complex variables in any system is non-physicality or abstractness or complexifying developmental operators from the real-valued physical variables.
I know everybody has a cosmologist, philosopher, naturalist and mathematician in themselves, so communicate your intuition and tell what you feel in the comments!
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