If two problems share the exact same Hilbert space and Hamiltonian, are they the same problem, or different ones?
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I think the silliness and arrogance of these types of questions is easily evaluated by simply taking it one step further . . .
If I personally don't hear something than it couldn't have possibly existed. Because the entire world evolves around me.
I think the better question is "What other things happen in the universe that we are blind to simply because of our self-centered view of reality?"
I'm gonna go ahead and coin the phrase "Darwinian slip". :D
Edit: ...or not. Darn you, Google.
Interesting ideas about "proving" something (regarding the sunlight). I know that most people feel that our direct observation of something is proof enough that it exists, but you could always be a brain in a jar in the far future, being tricked into believing that whatever you're experiencing is real. If so, I wish they'd trick me up a minty Wonderedge or two...
I think you can have a fairly solid running hypothesis that when a tree falls and you are not present it makes a sound. You can only base this truth on the face that when you are present, the tree makes a sound, and there is nothing to suggest this would stop happening becuase you were not there.
You guys have it all wrong.
You aren't seeing the forest for the trees....
;)
As far as SHrondinger's cat. Perhaps the tree is the same. Until observed, the tree is both standing and has fallen.
Billyjeff2, if something is not heard then it does not make a noise (or a sound)
Evolution is proven ...... :)