srfriggen said:
hey, my last comment wasn't aimed at you. I'm having a tough time wrapping my head around your answer. is there a way you can explain it further? I've heard people reply to the question, "if a tree falls in the woods does it make a sound" with "well, actually quantum theory tells us the tree doesn't even exist if we aren't around to observe it, therefore no sound can be made from a non-existent tree". comments on that?
If any of the people who told you "the tree doesn't even exist if we aren't around to observe it" are physicists, please smack them for me. :)
To expand on what I meant...
In quantum computing, it's called the "principle of deferred measurement." I believe it to be the fundamental paradox in quantum mechanics, and the root of all the trouble people have in understanding it.
The evolution of a quantum system can be modeled by a series of continuous operations U, interspersed with discontinuous, "jumpy" measurements R of the whole or part of the system R. So you can conceptually think of the evolution of a quantum system as a continuous graph with a bunch of discontinuous jumps. (I take this picture directly out of the Road to Reality by Penrose.)
http://img228.imageshack.us/img228/8575/roadtorealitylx6.png
The principle of deferred measurement states that such an evolution can ALWAYS be replaced by one with a single, continuous U, and a single measurement R performed at the very end.
In computational terms, whenever you want to measure the value of a qubit and perform a routine like, "if I measure a 0, perform operation A; if I measure a 1, perform operation B," you can replace that measurement and procedure by a purely quantum operation.
In other words, you can always push back or defer an observation until the very end of your "computation."
In terms of a tree in the forest, you can reasonably say that the tree was in a "Schrodinger's Tree" state until you entered the forest and peeked at it. But you can just as reasonably say that when the tree fell, the ground measured its position, and so on, and so on, and by the time you finally peaked at it, you simply saw an already collapsed quantum system.
(The same principle made it so difficult for me to understand entanglement! The trouble with entanglement goes away if all the interactions are purely quantum ones until the two entangled particles "meet" and get measured, but it's incredible that any number of local measurements before the meeting, when the particles are miles apart, can be replaced by quantum operations. It seems as though a local measurement has an effect on the pair particle, but this effect is in a sense virtual.)
You might instead ask, what if I never observe the tree, and in fact no one ever goes inside it and no one observes whether the tree fell over or not?
It's in the answer to that question that you may be tempted to say, it simply doesn't exist, in the sense that it is a completely isolated system, and so anything that happens in it has no effect on us. However, completely isolated systems don't exist in reality. The universe is one, big quantum system where everything is connected on some level.
You can ask the same question outside of any quantum theory, if, say, you're trying to calculate the acceleration of a falling object on earth. The force of gravity exerted by the moon is so negligible that we can consider the Earth an isolated system. But it's absurd to say the moon doesn't exist because of this.