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I have always disliked this thought experiment because, even though it was proposed as an amplifier of quantum mechanical effects, it is really nothing more than a game on probability, and one can get random probabilities by many classical means. Toss a coin, heads cat alive tails cat dead. The concept of both alive and dead is ridiculous in the ...

In my view you've muddied the waters. The cat is assumed to be unobservable. But if you allow sight and sound, then you are in fact observing the cat and the corresponding superimposition of wave functions will collapse. If you want to worry about something, imagine the cat in a cage embedded in a wall but visible from both sides of the wall. On one side ...

You don't explicitly say so, but you're assuming the Copenhagen interpretation (CI) rather than the many-worlds interpretation (MWI). Your analysis is a perfectly good example of why the CI doesn't fundamentally make much sense. The CI treats measurement as a process that's different from other processes, even though measurement is a physical interaction ...

Superpositions can exist without problem until infinity. Basically everything including me only exists if your look (measure it). QM is very weired and that why most who are responsible for QM like Schrödinger and Einstein felt very uncomfortable with its philosophical side effects. Thats where the cat comes in. From the scientist point of view it does ...

What's wrong with my reasoning? Nothing! In fact you have more or less described decoherence. The idea is that any system inevitably interacts with its environment, and the more degrees of freedom the system has, i.e. the more complex it is, the faster it will interact with the rest of the universe and the superposed states will decohere.