McQueen said:
If you look at the reference :
http://www.aei-potsdam.mpg.de/~mpoes...nelingftl.html you can see what I meant by the statement that FTL is central to QM. “So, has special relativity been disproved, now that FTL speeds have been measured? (N.B. Bold letters are mine , for emphasis) The first problem with this naive conclusion is that, while in special relativity neither information nor energy are allowed to be transmitted faster than light, but that certain velocities in connection with the phenomena of wave transmission may well exceed light speed. For instance, the phase velocity of a wave or the group velocity of a wave packet are not in principle restricted below light speed. The speed connected with wave phenomena that, according to special relativity, must never exceed light speed, is the front velocity of the wave or wave packet. “ Since QM is to a large extent committed to Schrodinger’s wave function , it follows that ,logically at least , QM is also committed to FTL .
Nice link, lots of good references, thanks.
As the author of the review articles says, the consensus is that no FTL signal has been measured.
I've read one of Chiao and Kwiat's papers (involving quantum non-local correlations) in which they explicitly state that no energy has been transferred FTL.
My textbook (Bohm, 1950) states in a few places that quantum non-local correlations do not imply FTL transmissions.
So, you'll have to lay out your reasons for thinking that QM is committed to FTL
McQueen said:
I agree that over the years several experiments have been conducted on the lines of the EPR , none of which conclusively proved anything one way or another. This was mainly due to lack of the right equipment. Which is why the reference I had given to a commercially viable quantum encryption system is so vitally important. It means that suppose you produce two quantum entangled photons using PDC and send them to two spatially separated locations , the result is consistent enough to use commercially. i.e ., if the two entangled photons have the same polarization at point of origin , then when the polarization of one of the photons is found the polarization of the other is the same to a consistent degree. Do you agree with this so far ? My point is that since the process is consistent , it should be possible to change the polarization of one of the spatially separated entangled photons and to determine if the other spatially separated photon also undergoes a change in polarization. This would prove conclusively whether FTL does or does not exist .
I know little about PDC. Are you saying that the two photons (which, as I understand it, are harmonics of the pump photon) transmitted by the nonlinear crystal are always polarized the same way --- or is it that their polarizations are always related?
The encryption systems involve parallel settings of the polarizers, don't they? I don't know for sure.
Anyway, say you've detected photon 1 wrt a certain setting of your polarizer. Now, you can change the setting of the polarizer that photon 2 is incident on while photon 2 is in flight. The probability of coincidental detection, in the ideal, is given as cos^2(theta) by qm, where theta is the angular difference between the polarizers. In effect, as you change the setting of the polarizer that photon 2 is incident on, you change the probability of detecting photon 2. How does this tell you whether FTL does or does not exist?
McQueen said:
If in fact FTL is found not to exist it would doubts about the whole wave function and QM in general. More important what does this say about the work of Deutsch , Aspect and others ?
I don't know about Deutsch's work, but I've read a few of Aspect et al.'s papers and from what I understand they don't say anything about FTL, but only about whether local hidden variable (lhv, or local realist) formulations for their experimental setups are consistent with the results (and also whether the qm formulation is consistent with the results).
The consensus is that the lhv formulation isn't empirically viable. But, it's the hidden variable or realist part of the lhv formulations that is at odds with the results, not locality --- since the locality condition isn't really a locality condition but rather just an independence condition. A and B aren't independent of each other -- that is, the results at A and B are related to each other. But this has to do with the experimental setup, and not with them being causally related to each other during a given coincidence interval. As qm has it anyway, even without the Bell tests, the polarization of photon 1 is not defined prior to detection, and the polarization of photon 2 is not defined prior to detection (only the relationship between the polarizations of photon 1 and photon 2 is defined prior to detection). So, given the current understanding of polarization, the photons incident on the polarizers during a given coincidence interval can't be assigned specific polarization prior to detection, and hence a local realist (ie., a 'classical') description (at least wrt the current state of the art of polarization) of the incident photons isn't viable for all joint polarizer settings.
But again, at least afaik, quantum theory is not committed to FTL. (Of course, as far as anybody knows, the correlations might be due to FTL transmissions, but such an explanation isn't necessitated, so the assumption of locality is retained.) So far, from what you've written and referred to, such an FTL committment doesn't seem to follow. So, it might be good if you spell out your logical chain of reasoning that leads you to the conclusion that you're advocating.