@Krumple,
Krumple;129959 wrote:I think you are leaving a crucial part out of this experiment. The reason Schrodinger used the cat was because he felt the observer influenced the result of the experiment. Which quantum mechanics proved does happen. If the observer plays a role in the result then by all means you have to remove the observer from the equation to get an accurate picture. But as soon as you remove the observer you have no way of recording the result. That is why he said, before opening the box, the cat is both alive and dead at the same time. But that is a paradox of reality. A cat can not be both dead and alive. It is only after you open the box to check can you determine the result. That makes you NOW taint the experiment because you have to become an observer to record the data.
So my point was even though you are probably right math-wise of the probability, I say it will fail because of the observational factor you are leaving off your equation.
You have to remember again that it is a thought experiment, maybe I should've limited my idea of 100 cats to also being a thought experiment to prevent confusion. I bring this up because the main point is the assumption of 50% probability (which I think would be approximately attainable, but that would take too long to write out, it would involve radioactive decay, the half-life, and a stopwatch).
However, Schrodinger also assumed that all of the cat's atoms would be in a state of superposition, and this also assumes that the flask of poison's atoms are also all in a state of superposition. As I've mentioned above, to my knowledge, there has been nothing to distinguish conscious observation from mere detection. The biggest problem with the Copenhagen Interpretation is that it is vague on the meaning of observation.
I also addressed the issue of whether or not atoms interacting counts as detection or measurement, this answer seems to lay in entanglement, but may not. There is also the assumption that the cat is not conscious enough to count as an observer.
So if the cat is not in superposition, the focus should be on the initial radioactive decay, and my example does a better job of that.
However, either way one should get an approximate 50-50 split between dead and alive cats, because the odds of the cat being dead or alive are still 50-50 (think back to the double-slit experiment and the probability involved there).