Xsnac said:
there is no speed faster than light. I think you can deduce it from maxwell's equations from E&M.
That is almost (but not quite) correct, but I think you are missing the point of shakila's question.
First, why is that just "almost" correct? Special relativity prohibits faster than light travel, but it takes more than just Maxwell's equations to get to special relativity. You also need Einstein's additional postulates, and especially the principle of relativity. Furthermore, even after you've derived special relativity, the precisely stated conclusion is not that "there is no speed faster than light". The more precisely stated result is that "no causal influence can propagate faster than light" (which implies no faster-than-light travel, as beginning your journey is obviously a necessary condition for arriving at the destination).
This distinction matters a lot in the context of Shakila's question, because...
Second, the effects of quantum entanglement do appear at first to involve faster-than-light travel. I create a pair of entangled particles, allow them to be separated by some enormous distance, and then measure one of them - that measurement appears to instantaneously affect the results of a measurement of the other particle. This effect has been observed, perhaps most convincingly in
this paper. However, a more careful analysis shows that it is impossible to send any information in this fashion, and therefore there is no violation of the relativistic prohibition on faster-than-light information.
This would be a really good time for everyone not already familiar with the topic to take a look at our own DrChinese's
web page and search this forum for some of the previous discussion: HarryLin's link and much more.
(And I would ask the other specialists here to jump in slowly, please... I know that I have run roughshod over many subtleties here, but I don't want to start a debate that goes over the heads of the people who are here to learn).