# Do imaginary numbers have more significance in the universe than just a simple mathematical convenience?

The square root of minus one, and hyperbolic functions in general ,seem to be at the (mathematical) heart of virtually all modern physics .

Is it simply a "thought up", mathematical convenience , or does it actually point to something "real" and fundamental about the universe? .

Is it simply a "thought up", mathematical convenience , or does it actually point to something "real" and fundamental about the universe? .

Update:
Edit : What I'm getting at here is that without imaginary numbers and hyperbolic functions -- virtually all modern theories in physics and cosmology would be impossible . That is , we had to have invented this branch of mathematics, just to make the universe understandable to us.
Is it therefore just a...
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Edit : What I'm getting at here is that without imaginary numbers and hyperbolic functions -- virtually all modern theories in physics and cosmology would be impossible . That is , we had to have invented this branch of mathematics, just to make the universe understandable to us.

Is it therefore just a coincidence that this form of mathematics "works" when looking at what makes the universe tick, or is it because its language is particularly "in tune" with it for some reason?

Is it therefore just a coincidence that this form of mathematics "works" when looking at what makes the universe tick, or is it because its language is particularly "in tune" with it for some reason?

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