<Snipped quote by whizzball1>
By the concept of imaginary numbers, by definition, cannot be achieved in real life. And the problem with quantum theories is that they're nearly pure assumptions, and beliefs in particles that "have to be there" because we have no other explanation, currently, similar to Dark Matter.
What is the concept of imaginary numbers such that they cannot be achieved in real life? They're only called imaginary because of the derogatory term for it. Rather, discard your conception of these numbers being imaginary and work from there to see if they really are imaginary or not. Complex numbers are simply numbers that involve the square root of a negative number--which we get if a particle moves faster than light. There are no mathematical objections to the idea of a particle moving faster than light other than saying that a particle can't have an "imaginary" mass. But there's no way to say that a particle can't have an "imaginary" mass unless you have the preconception that imaginary masses must be imaginary.
Before I put any thought into this, I made sure not to bias myself toward the idea that the concept of imaginary numbers must be imaginary, per their name. Discard that bias and then look at my logic--there is nothing to say we can't have a complex mass unless you say a particle can't move faster than light.