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I think Schrodinger's cat experiment is a word conundrum rather than reality. For example, it took 1000 years for philosophy to prove that a man could run faster than a tortoise. I.E., Achilles and the tortoise: In a race, the quickest runner can never overtake the slowest [if had a head start], since the pursuer must first reach the point whence the pursued ...


Following Lubos' comments, it is clear that your problem is equivalent to two quantum computers exchanging signals (or equivalently, a single one with a halting state). If your question is: Will the simulated cat be "alive" (that is, enjoying his simulated life), or "dead" (that is, the computer has halted and the cat no longer experiencing a simulation) ...


Inside the Schrodinger's cat's box, the moment the radiation is detected by the counter, doesn't this mean the system already has a fixed eigenstate (a collapsed wave function, or is decoherent, whatever you like to call it)? At the end of your question, you give a list of things that might have happened to the system, and treat them as equivalent, but ...


The answer whether the cat is dear or alive is not certain before the measurement. It is all measurement which determines the probability density function and the collapse of the entanglement

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