Crazy Math

O.k., some further thoughts: Say we have a simple oscillator, a NOT gate which feeds back on itself. We set the system into "motion", and sample values immediately before the NOT gate, at some time T, and immediately after the gate, at some time T + dT, where dT is the time necessary to traverse the gate. If the system is clocked with a crystal or some other means, then dT is always the same to within some margin of error. What if we made dT random and isolated the system? If we sampled values before and after the gate, we'd still get the same "weight" for 1 and 0 (50% each). However, if dT is random and we have no way of measuring it, then we don't know if, at a particular instant, we'll measure a 1 or a 0. I wonder how similar this situation would be to the state of "superposition", the quantum state where the probability of finding the value of some variable in a system to be a or b is, essentially, the only valid description of the "state" of the system. For example, if an electron is provided exactly one-half of the energy to jump from energy level a to energy level b, then the probability of finding that electron in either energy level is 50%. And that's as specific as we can be about the state of the electron with respect to it's location in one of the two energy levels. That is, of course, until we measure which state the electron inhabits, or the system gains or loses energy. So, is the NOT gate system with random dT in a state of "superposition"? My assignment to myself today is to try and figure out if that's the case.