sjastro,
the quantum fluctuations and perturbations were "blown out" during the inflation and expansion period. The variation in density, both with respect to baryonic matter and energy, we observe today are a reflection of the initial fluctuations. In fact it is argued that the trigger for the Big bang is a consequence of quantum instability or fluctuations. What was the nature of the initial singularity that the Big Bang sprouted from? Was is "ideally" perfect? In that case why would it become unstable and trigger a big bang?
Although the Big bang theory isnt settled yet with various cosmological models operating in the Physics market place, the fluctuations in the initial conditions seem to be providing remnants/artifacts on a large scale for Astronomers to observe today. Of course they could be just that - artifacts of our lack of understanding or equipment limitations etc. Who knows.
Some argue (like Einstein throughout his life) that quantum mechanics, although very accurate and validated by experimentation and measurement, is a Stochastic model of the atomic (and cosmic) world, and a deterministic model may yet be discovered by science. On the other hand, it may prove to be impossible to describe the atomic world with a deterministic model. Who knows?
My gut feeling is that every "scale" science has delineated for convenience or necessity is intimately linked and intertwined in some fundamental way. Finding the linkages or a global model of some kind may well be beyond human endeavors (or just around the corner)
Who knows?
(and yes, the imaginary number system is very useful in many fields of science and engineering, including electrical engineering as you state. But the square root of negative 1 is undefined by definition, it
"exists" (not exists) on an
"imaginary" (real) number line as do i^3, i^5, i^7....i^odd integer. But i^2, i^4, i^6....i^even is fine by me)