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Dec 18, 2014 at 16:28 comment added user929304 @CuriousOne Could please expand a bit on the points you've brought up? very hard to understand, although I'm sure the answer lies in there, I cannot decipher it yet :(
Dec 17, 2014 at 12:39 comment added Sofia I repeat: There are two different things: 1) QM is non-local. 2) We simply CANNOT use the non-locality of QM to send FTL messages or backward in time (BIT) messages, because we cannot RE-WRITE the past.
Dec 17, 2014 at 11:25 comment added Jakob It would of course not be surprising that the non-relativistic QM is not compatible with locality. But I do not think that the Schrödinger Equation ist so relevant here (maybe I should not have stressed it in my question): I am interested in the intantaneous collapse of the wavefunction (which has nothing to to with Schrdinger Equation, but with the QM framework). Usually people claim that such a collapse cannot transmit information (and I am sure they are all correct in some clever way), but in the setting described this seems not the case (as described)?
Dec 17, 2014 at 10:36 comment added CuriousOne The problem is that any part of the potential impacts every part of the non-relativistic wave function immediately. So in that sense it is always non-local. That impact can be very small for parts of the potential that are far away from the center of the wave packet, but it's always there, except for packets with compact support... and I think those should spread out instantaneously. This is not the case in relativistic quantum fields, where the speed of light is the limit for causal effects. The "wave function collapse" is not even described by the Schroedinger equation.
Dec 17, 2014 at 9:28 comment added doetoe Isn't that beside the point? The non-locality stems from the wavefunction collapse, not from its unitary time evolution, and is not governed by the Schrödinger equation.
Dec 17, 2014 at 2:42 history answered CuriousOne CC BY-SA 3.0