So here's our particle, existing all over the room like a bubble extending from the emitter. Then one of my observational particles (light, death rays, something) impacts the particle. Where does it do that? For lack of any understanding of it, I'll say I send out a stream of observation particles and the first one to touch the bubble causes it to collapse to a single particle. No impact, no particle. Does the particle "appear" at the point where my observation particle impacted the bubble? Or can it appear anywhere? It doesn't make sense that it would appear just anywhere, or my observation particle wouldn't have impacted with it. But then at the quantum level some things are caused by their own effect, right? Something all backward like that?
Right - with nothing up my sleeve, and without the aid of a safety net, I'll try to answer this! I have to put a disclaimer on my answer - I'm not an expert in this field, but I'll give you the best answer I've got. If there's any real physicists out there, feel free to chip in, fill in the holes in my argument.
Yes, the particle evolves from the emitter, like a bubble if you like, although it's probably better to think of it as a spreading ripple, like when you drop a stone at the edge of a pond. It's the next bit of your question that's not quite right. You see, your observational particle is also spreading out from its own emitter in the same ripple like way. So now you've got to imagine dropping two pebbles into your pond, at different points on the pond's perimeter, and the result is a combined ripple field accross the surface of your pond, or in our experimental chamber, two "superposed" ripple fields of our particles. This combined ripple field now gives us the probability of finding the particle at any given point.
Well, now I start to get a bit hand-wavey, because I don't understand this bit myself (see my earlier post). How does the system decide where it ends up finding the particle?
Have you read anything about string theory? The basic idea is that all fundamental particles can be thought of as different modes of vibration on very small loops of string, and that therefore the whole of the natural world is a gigantic symphony played by the great universal chamber orchestra. To simplify a bit, imagine a guitar string. Without putting your fingers on the fretboard, there are a restricted number of notes you can get out of it, corresponding to what's known as the normal modes of the string (harmonics to you and me). So, if we think of our two particle system as like a vibrating system, there are only a certain number of "harmonics" the system can settle to.
If we do our two particle experiment (emitted particle and detector particle) 1000 times, we get 1000 different answers. What made each experiment settle to the particular quantum "note" it did? Who knows? Not me that's for sure as mustard! Just remember though that the wavefunction of the detector particle is coupled to a whole load of detection equipment. There's lots of stuff on the internet talking about things like: once a system gets sufficiently complex (lots of vibrational fields interacting with each other) it forces the original system to choose which note it's singing.
Maybe it's a bit like, when you're uncertain about something (where to go on holiday? France or America this year? Decisions, decisions...) and you talk to enough people about it, eventually you have enough information to make up your mind, and then your probabilities collapse into definite certainties. Perhaps the emitted particle chats to the detector particle, the detector particle talks to the particles in the detector, the particles in the detector talk to the particles in the wiring and computer part of the detector, and when the system becomes complex enough (probably just in the detector bit) our probability waves collapse into a definite "note" which the system "sings", which is then measured by the detector somehow.
Why is the answer different every time? That I don't know.
Hope this helps! I know I'm more confused than ever now...
ig.