uncertainty and chaos

If you take a QM view of the vacuum there is a default value of 1/2 as the ground state of possible oscillation states. Tell me if this makes sense, but certainly as a magnitude estimate, thinking about photons and the zero-point fluctuation field, if you expect an average value of 1/2 in a given photon energy state, you can say the uncertainty in the product of energy with time must be not less than [math]h/2[/math]. Given a photon energy of [math]\hbar\omega, or, h\nu[/math]. lo and behold the time such a fluctuation can be expected to last is of the order of one cyle. Aha, I was talking to an electronics whiz about building noise-cancelling headphones, after reading an article about the theory and limitations of Bose manufactured products. I said why can we not just add a negative half-wave out of phase with each input half-wave and cancel it? He said, you are too late. I smiled, thankful for the lesson in noise theory.