Psykostx said:
SelfAdjoint, I understand, but are these probability changes seen as probability changes because we can't measure these ultra-fast vibrations accurately enough to decipher them?
No, quantum mechanics doesn't work that way; the idea you propose is what is called a "hidden variables" theory, and modern work has ruled them out.
1. In about 1940, Einstein, Podolski, and Rosen (EPR) published a thought experiment in which they introduced the idea now called entangled particles. They claimed their experiment, based on entanglement, could falsify quantum mechanics as other physicsts of the time thought of it.
2. In the 1960s John Bell proved a theorem tightening up the EPR proposal and showing that QM predicts a higher than random correlation between the properties of entangled, separated particles, whereas classical hidden-variable theories predict the random average value, This last is what your "vibrate too fast to measure" hypothesis would do.
3. Then Aspect and others found a way to actually perform these thought experiments and did them. What the experiments show is the quantum values of the correlations happen, not the average value. Since this experiment has been now repeated many times with variations in the details, and always produces the pro-QM result, physicists now believe that nature just is not described by hidden variables.
Not to snow you, there are die hards and quibblers who seek to criticize the experiments, usually focussing on Aspect's first one, which did have some problems, But there are now a slew of results where ASpect's problems are cleared up or the experimental layout is completely different from Aspect's (the delayed choice quantum eraser, for example).