Killtech said:
you can just translate it into "is the beam splitting in this instances verifiably reversible"? I would wanted to see an experiment showing just that.
As I think I said before, I don't know if anyone has done this experiment for electrons (or silver atoms as were used in the original SG experiment), but it has certainly been done for photons; the simplest example is a Mach-Zehnder interferometer. I don't think anyone doubts that if it could be done for electrons, the beams would recombine the same way the photon beams do in an MZI.
If you prefer not to believe the result for electrons until it's actually done, I can't stop you, but the prediction of the math of QM is unequivocal that the result
will be what I said above.
Killtech said:
the initial beam changes its energy level through the interaction with the magnetic field
Assuming this energy level change does occur (I haven't done the math), passing through a second SG device, oriented the same way, in the opposite sense will exactly reverse this interaction, so it won't prevent the beams from recombining.
In any case, you could in principle run the SG experiment with free electrons and eliminate this complication.
Killtech said:
A rough idea was that energy exchanges usually come along with some information exchange so it isn't maybe entirely award to ask if a portion of information might have gotten lost irreversibly through that.
The SG magnet interaction with the electron (or silver atom) is unitary, therefore reversible. At least, that's what the math of QM says. (If you want to be precise, the math of QM says you
can model this interaction as unitary and reversible, whereas it says we don't know how to model the electron or silver atom hitting the detector as unitary and reversible.)
Also, your more general idea that "energy exchanges usually come along with some information exchange" is very vague, and if you try to make it precise I think you will find a lot of exceptions. The SG magnet interaction itself might well be one: what information gets exchanged? So I would not rely on this vague intuitive idea in physical reasoning.
Killtech said:
you can do something alike an interference by sending the recombined beam onto another SG device and than compare it to the combined results when one of the beams is filtered.
Ah, I see--similar experiments to what is done with photons, but using SG devices instead of beam splitters. Yes, since both cases are modeled using the QM math of qubits, the predictions of QM would be similar.
Note, however, that none of this would solve the problem you appear to have with "when does collapse occur", because from the standpoint of collapse interpretations like Copenhagen, experiments where you have multiple beams that are brought back together to interfere and thus demonstrate the existence of superpositions during the intermediate processes
do not involve any collapses during those intermediate processes. The only collapses are at the very end, where detectors are triggered to record final results, and those events are irreversible on any QM interpretation, so they don't help you any.
Killtech said:
for me it wasn't that clear that detecting an outgoing distribution of only spin up/down states cannot be achieved classically
The classical prediction for the SG experiment is well known, and is at sharp variance with the actual result that was obtained. Stern and Gerlach knew that when they first did the experiment, and so did all the other physicists; that's why the experiment was such a crucial one in the development of QM.
The classical prediction is that the detector should show a bright region in the center, with intensity decreasing outward in both directions. The actual result was that the detector showed bright regions at the two edges, with intensity sharply decreased in the middle. There is no way to get that result from classical physics.
Killtech said:
This is a link to the Classical Physics forum. Can you give a link to the actual thread?