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So two photons become entangled. You then separate them by a vast distance. Then an observer examine one of them, and if it has a left handed spin, the other will have a right handed spin?Is that right?
Anyway, I wondered about the experiment, and don't have much actual detail on the subject. For example.. how are the photons collected, and moved? What is the observer?
I don't actually believe in Action At A Distance. I believe in the hidden variable. But unless I have every single detail on the experiment I can't figure out the hidden variable.
Good luck. As I recall that's pretty much been dismissed by experimentation. Experiments relating to Bell's inequality were done and the results were consitent with quantum theory.
Although I'm sure that this will be subject to some debate, the observer is usually a piece of equipment which detects and records events. It could be something like a phosphorecent screen which detects a photon by emitting light. Not sure though. I'm not an experimentalist but I'm eager to find the answer to this myself.
The photons move through the air or a vacuum from source to detector. A process used to create pairs of entangled photons is parametric downconversion:http://en.wikipedia.org/wiki/Spontaneous_parametric_down-conversionBecause of conservation laws in physics, the entangled spins of the photons are determined from the polarization of the incident light.
From what I recall (it's been a while since I studied this), in order to satisfy all the conservation laws (energy and momentum) in the crystal, the index of refraction seen inside the crystal by the emitted photons has to be of a different value than that of the incident photon. (Index of refraction has to do with the energy and momentum of photons in a material).In these crystals, the index varies with angle, so that you can find the right index for the output photons at a fixed angle with respect to an axis through the crystal. If you align the crystal properly, you get a cone of output photons at a fixed angle--which means a fixed index. Index also varies with polarization state, so if you have different polarizations of output photons, you get two output cones.
Not quite. The reason for 2 opposite spins is the laws of quantum mechanics, which says that the state at your detector is a combination of both possible sets of opposite spins. It isn't as simple as 1+-1=0.
I can solve it in less than 1 week, I promise you. I just need the details, and there could be a hidden variable in Bell's inequality (there is definitely hidden information in this experiment).
Quote from: PinchoI can solve it in less than 1 week, I promise you. I just need the details, and there could be a hidden variable in Bell's inequality (there is definitely hidden information in this experiment).What in the world gives you the idea that you can solve it in less than a week? What details are you talking about? If there reallly were hidden variables then in principle electrons would have classical trajectories moving around inside of atoms and in doing so they'd be accelerating and giving off radiation and therefore energy and then atoms would soon collapse.
Quote from: JP on 02/03/2013 15:47:04Not quite. The reason for 2 opposite spins is the laws of quantum mechanics, which says that the state at your detector is a combination of both possible sets of opposite spins. It isn't as simple as 1+-1=0.The third law doesn't apply? Or it applies at a distance? Or somebody doesn't know how it applies to a photon... how can it store its momentum from the crystal?
Quote from: Pincho on 02/03/2013 15:59:33Quote from: JP on 02/03/2013 15:47:04Not quite. The reason for 2 opposite spins is the laws of quantum mechanics, which says that the state at your detector is a combination of both possible sets of opposite spins. It isn't as simple as 1+-1=0.The third law doesn't apply? Or it applies at a distance? Or somebody doesn't know how it applies to a photon... how can it store its momentum from the crystal?No momentum is stored in the crystal. Photon momentum in = sum of photon momentum out. I'm not sure where you're getting spin and 1-1=0 from.
Energy cancels out, so two opposite spins cancel each other out.
Quote from: Pincho on 02/03/2013 17:32:35Energy cancels out, so two opposite spins cancel each other out.That's not true. The spins cancel out because you chose two photons of opposite spin. You could choose two photons of the same spin. I realize you're trying to develop a theory to explain all this, but you're getting very basic physics wrong here. I'd strongly recommend going back to basics and learning about conservation of energy and momentum before jumping in to trying to explain quantum mechanical phenomena.
No momentum is stored in the crystal.