Here's a variant of Schrodinger's-Cat (thought) Experiment I'd like to toss into the ring:
We start out with Schrodinger's cat in a box along with the usual apparatus: a weak radioactive source, Geiger counter, solenoid-operated hammer and vial of poison. At some point in time - the exact point being completely a matter of probabilities - the nucleus of an atom in the radioactive source will disintegrate, triggering the Geiger counter which then activates the hammer and breaks open the vial of poison and the cat meets its Maker. We just don't know when, and so we don't know whether the cat is alive or dead until we look in the box. We don't wait too long, but wait for a time comparable to the source's average rate-of-decay.
Quantum Theory says that until the cat's 'state' - that of being dead or alive - is observed, the cat is in *both* states simultaneously. It is both alive and dead at the same time. (Yes, QM is weird like that, but it all works out in the end).
However, this time, instead of observing the cat's 'state' directly after some suitable interval, we leave that observation to a 'middleman.' This person is inside a larger, sealed box which also contains Schrodinger's Cat inside its own box.
Halfway through an agreed-upon interval the middleman ascertains the cat's state by looking inside its box but, for the remainder of the interval she does not tell anyone The News. Nary a soul.
Now, from the perspective of a person outside the larger box, is the middleman's knowledge of the cat's state during this time a superposition of 'knowing the cat is alive' and 'knowing it is dead'? In other words, does the cat's state and her knowledge of the cat's state become 'entangled' (in the QM sense) to form a single system in a superposition of states all its own (until communicated to the outside world)?
A further twist: through a small portal in the larger box she tells her associate waiting outside "The wavefunction has collapsed. I know the cat's state. It is in one state," but does *not* tell him what it is.
He replies, "No it hasn't and no, it's not."
1. Whom is correct and why?
2. For her the wavefunction has collapsed, but for him it has not, so has an observation - a measurement, in the QM sense - really occurred or not?
3. At what point did the wavefunction collapse, or has it?
4. If they fail to publish their results, but instead keep them a secret forever, does Schrodinger's Cat still exist in a superposition of states?
:)
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