Schrodinger could have used any other number of thought experiments to discuss quantum superposition but apparently he had a thing for thinking about killing cats.
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The "cat" thought experiment was never Schrödinger's idea in the first place. It was other physicists arguing that "If Schrödinger's interpretation of wave function collapse were right, then you could pull off obviously absurd results involving a macroscopic object like a cat."
It's up there with the "Of course I would kill Baby Hitler!" time travel people.
There are any other number of things you could do to change that course of history besides kill a baby. You sure you just don't have a baby killing fantasy?
"I'd move in and be a good friend to the family and a good mentor to their young child" could also work, among a zillion other options, but it doesn't feed the hunger for violence.
Schrödinger? He was no Nazi, though you could argue he was a coward. In the early 1930s, when Einstein, Planck, Von Laue, and other German physicists were risking their lives and careers to denounce Hitler, Schrödinger just expressed quiet dislike of the Nazis and sort of crept out of the country.
Then in 1936, when he was living in Austria, the ballooning Nazi movement there made Schrödinger an offer he couldn't refuse. He wrote a cringing letter praising Hitler, sounding exactly like something a hostage would be forced to sign, or like one of those mandatory Maoist "self-criticisms".
When he escaped Austria, he apologized to the resistance community in general, and specifically to Einstein, for his lapse in courage. Einstein forgave him; others said he never should have remained in Austria and had let himself become a useful idiot. But no one thought he was an actual Nazi.
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Anything!
There are any other number of things you could do to change that course of history besides kill a baby. You sure you just don't have a baby killing fantasy?
An art school scholarship to somewhere in Nebraska would've worked just fine!
And thanks for nothing, Christopher Nolan