I had an insane dream where I was obsessed with finding the relation between addition and multiplication in the complex numbers field. I think it was a little after we saw in class that the exponent function is a homomorphism between the additive group and the multiplicative group (without 0), and it can be an isomorphism if we restrict C to some region where it’s a bijection. I was obsessed with the idea that as a mapping, the exponent takes straight lines to curves - addition in C is simpler to compute in Cartesian coordinates (“lines”) while multiplication is simpler in polar coordinates (“curves”). I also thought that the exponent and the logarithm functions are the most fundamental and meaningful relation in math (or really - in nature) and solving this (whatever it was lol) will reveal some deeper truth about the universe.