Suppose you have a particle in deep space, and two observers, such that none of these particles interact with the other two unless either observer decide to. Then if one observer makes a measurement for the particle and the wave function collapses for that value, is that measurement also now determined for the other observer or is it only determined once the second observer either interacts with the particle himself or the other observer.
edit: I think I am asking if a measurement locks in a pure state for only those who have actually interacted with the system or if the system is in a locked in state as far as the entire universe is concerned, whether they have actually interacted with it or not. For example if you have a particle in a box in front of you right now, and you measure some observable, collapsing the wave function. does it make sense to say that the wave function has also collapsed for me, I just don't know it yet, or does it only make sense to say that the wavefunction has collapsed for you, until a time that I measure it or you tell me, otherwise I still say its wavefunction is "un-collapsed". (the more i think about this question the more it seems to be fundamentally unanswerable)