What does your earlier comment have to do with silver halide thermodynamics? You hypothesized that it was in a metastable state, where it didn't need the full energy of the photon to react. This is contrary to the normal physical description for how photographic emulsions work ... there is an (effectively) irreversible chemical reaction (the reduction of silver ions to metallic silver), which can only happen when an electron is promoted from the valence band of the silver halide salt, into the conduction band. The reason these emulsions can be used to record visible light images is because the band gap is accessible to energies of photons in the visible spectrum. If it were accessible to lower energy photons, then you would be able to record infrared images also, which is not possible.
So, your hypothesis starts out on (very) thin ice, and that is why it needs to be supported by appropriate references.
I put this example in as a contrast with the phtographic plate to show that in situations where you have a verifiable amount of energy absorbed in the detection process, your position measurement can become a little vague. It's not the the location of the exact point is "unpredictable": in fact it's unmeasurable, or at least it's certainly not measured in any version of the experiment that I know of. Even your assertion that it leaves from a single point is not easily verifiable.
Of course it's not unmeasurable ... there are velocity map imaging techniques that can record how photoelectrons are emitted from molecules after UV excitation ... these could certainly be applied to metal surfaces to look at photoelectrons .. that is a *way* easier experiment. The question as to whether they will be emitted from "single points" is a question of resolution. The emitted electrons will have wave character, so their emission points will be somewhat uncertain, but that uncertainty should be small .. at least on the order of microns, and perhaps much smaller.
Good one. I forgot about the silver atoms. But this wasn't my example: my example was the Stern Gerlach experiment performed on electrons, and you haven't exactly dealt with it. Well, mabye you have after all, to the extent that you've challenged me to apply the same logic to silver atoms. Fair enough:
No I "dealt with it" by pointing out that SG experiments can't be carried out on electrons, because of the Lorentz force.
What do we actually observe in the Stern Gerlach experiment? A jet of silver effuses (learned that word from peteratcam's explanation in another thread!) from an oven, splits in two passing through a magnet, and two cloudy patches develop on a plate. All this is in accordance with the unitary time-evolution of the wave function. Where does the "collapse" occur? I know the answer: just send a single silver atom through the apparatus and watch for it to appear at one spot or the other. The problem is this is a very difficult experiment to do, and I'm not sure it's ever been done. People assume that the behavior of the bulk material can be broken down into individual atomic events. That's an assumption and it is not easy to verify experimentally.
Again, you are hypothesizing in a seemingly nonsensical manner. There is never any "bulk" silver, or even silver clusters, flying through the apparatus ... atom sources are well understood, and can be tuned so the cluster flux is effectively zero, and only atoms are emitted. So, whatever builds up on the plate builds up an atom at a time.
But you don't have to believe me about such things, consider the atom interferometer that has been built using SG magnets: http://www3.interscience.wiley.com/journal/107632668/abstract?CRETRY=1&SRETRY=0
Also, with modern detectors, it is certainly possible to detect single atoms in a position sensitive way ... for example they could be resonantly ionized using a laser with a small cross section, and the resultant charged particles detected. Here is a link to a delayed choice SG experiment done using single metastable hydrogen atoms.
http://quantmag.ppole.ru/Articles/Lawson_p5042_1.pdf