The idea is simple. When ever you got a complex problem assume a network.

One reason for the flexibility of complex numbers are its ability to change without changing its real(x) value.

From this I guess complex numbers are small networks. Data and ?three activation functions.

So from a + ib being the data with abs(x), real(x) and imag(x) as the activation functions.

The complex numbers are then in a sens part of a larger set of numbers. The ?Network Numbers. Where you got *any number of activation functions over *any amount and type of data.