Self-Consciousness

What is if self-consciousness is based on an equation that can not be solved, because it contains imagination and wishful illusions on one side and harsh reality on the other side ? An equation which is only true for 'imaginary' units ? Then we can not find an explanation because there is none. The square root of "-1" does not exist among the real numbers, so we invent an imaginary number "i" which solves the equation, but lives in the world of complex numbers. In the same way we might invent an imaginary self to make sense of the world.