But knowing the change in momentum caused by the measurement isn't it possible to calculate the original momentum? In that way I could trace the path that the particle would have taken if there were no measuring process. I think it is somewhat like measuring the strength of a rod by breaking it.
The principle states it is impossible to 'simultaneously' know the position and momentum(velocity)of an object. Position is something that can be noted at a particular instant, as from a photograph whereas velocity is something that can only be measured over a period of time,as from a movie. The...