thomasxc said:
information can travel faster than light. but it is never useful information.
George Jones said:
Can you give an example?
It might be that not everyone uses the same definition for the term "information".
I know what thomasxc is getting at here and George is right that we have to evaluate carefully or even redefine exactly what we mean by "useful information". When quantum entanglement is carefully evaluated it seems nature can communicate at a sub operating level at speeds that are effectively instantaneous and infinitely faster than the speed of light. This quantum communication channel does not seem to be available at a level that can be used by sentient beings to communicate faster than the speed of light. Now this statement requires quite a lot of elaboration so I hope you will bear with me as I try to explain better. When I stated that entangled particles can "communicate" instantaneously with each other I mean that that a measurement made on one entangled particle has an instantaneous causal effect on it entangled partner over great distances and much faster than the speed of light. Despite this instananeous causal connection between the entangled particles it can not be used by two spatially separated observers to communicate useful information to each other at superluminal speeds. For this discussion I will define "useful information" as information about an event in space in time. For example the statement "Bob knows Anne has a red sock in her box" is useless information while "Bob knows Anne opened the box and saw a red sock at 12.30 pm on Saturday 26/07/2008" is useful information.
DaveC426913 said:
Care to elaborate? Or were you just kidding?
Even "useless" information is quite useful. At the very least, its arrival can tell you that the sender is sending. Beef that up and you've got Morse Code. Now you can send an Encyclopedia.
Information cannot travel faster than light.
Imagine two distant civilisations that are very advanced but have not learned to live in peace with each other. They each have powerful laser weapons that can destroy each others home worlds and there is a cold war of mistrust. It would be very desirable to have some sort of early warning system in this situation to know if they are under attack but once one of the the lasers is activated, any early warning system would require superluminal communication. Can quantum entanglement be usefully employed here? Anne and Bob are peace loving and they decide to give it a go. A red sock in placed in one box and a blue sock is placed in the another box. Bob picks a box at random and Anne has the other and neither know what colour sock they have in their box. In fact these are magic quantum socks and they each have a grey sock in their box but as soon as one box is opened it decides to to be blue or red and sends an instaneous signal to the other box that turns it into the opposite colour. Anne travels off to infiltrate the enemy civilisation while Bob stays at home. Anne is successful in her infiltration and finds out the enemy are about to activate the death laser in a pre-emptive attack :O She quickly opens her quantum box and finds she has a red sock inside. By opening the box and seeing a blue sock inside, Anne has caused the sock in Bob's box to turn red instantaneously. Anne now knows Bob has a red sock and if Bob happened to open his box he would have the information "Anne has a blue sock". Unfortunately Bob has no information about when Anne opened her box so the information is useless as an early warning that a laser attack has been launched. Bob is about to be fried to a crisp and as far as he is concerned having an early warning that an attack is underway so he can take avoiding action is useful information, while knowing instaneously what colour sock Anne will see if and when she opens her box is useless information. It does not matter what pre agreed code system they have for colour of socks or even if they have many boxes and open them at pre-agreed times they can not use the "magic quantum socks" to communicate information about events in space and time faster than the speed of light. This is despite the fact the socks CAN communicate causally with each other faster than the speed of light. (I justify this below)
George Jones said:
...
Here's what I think you're trying to say.
Two boxes are side-by-side. Put a cat in one of the boxes and a dog in the other. Separate the boxes by some distance. Two people, Ted and Bob, the boxes open the boxes simultaneously (in some inertial frame). If Ted finds a dog in his box, then he knows instantaneously that Bob found a cat in his box. Ted knows this before there is enough time for Bob to send a signal to Ted, if signals propagate more slowly than the speed of light.
But, in order to know Bob's result, Ted already had information before he opened the box. He knew that one box contained a cat and the other a dog. No information traveled faster than the speed of light.
The example I gave of the blue or red socks or your example of dog or cat does not really illustrate the truly weird quantum entanglement is or why it is necessary to conclude that the entangled particles CAN communicate faster than the speed of light or indeed why they MUST communicate faster than the speed of light. To understand this it is helpful to imagine each box has two compartments. On compartment always contain an animal (dog or cat) and the other always contains a sock (red or blue) and the following rules apply:
1) Opening one compartment of a box to see what is inside locks the other compartment for good. You can never find out was inside the other compartment of the box.
2) If Anne sees a red sock then Bob will ALWAYS see a blue sock if he opens the sock compartment of his box.
3) If Anne sees a blue sock then Bob will ALWAYS see a red sock if he opens the sock compartment of his box.
4) If Anne sees a cat then Bob will ALWAYS see a dog if he opens the animal compartment of his box.
5) If Anne sees a dog then Bob will ALWAYS see a red sock if he opens the sock compartment of his box.
6) If Anne sees a dog then Bob will SOMETIMES also see a dog if he opens the animal compartment of his box.
The rules are exactly the same if the names of the observers are switched and it does not matter who opens their box first.
Now imagine a third person (Harry) who has the job of loading the boxes for Anne and Bob so that no matter which compartments they choose to open, the above rules are obeyed. Harry's job is easy if only the first 5 rules are considered but rule 6 is the killer. In order to obey rule 6 Harry must occasionally load a dog into both Anne's and Bob's boxes. This is fine if both Anne and Bob choose to open their respective animal compartments. But what if Anne finds a dog and Bob opens the sock compartment? Rule 5 says the Bob should find a red sock so Harry loads a red sock into Bob's sock compartment to cover that eventuality. If both Anne and Bob open the sock compartments they should find opposite coloured socks to obey rules 1 and 2 so harry loads Anne's sock compartment with a blue sock. But what if Bob opens the animal compartment and finds a dog and Anne decides to open her sock compartment? Rule 5 (with the names reversed) says Anne should find a red sock in her box, but Harry has put a blue sock in there already to comply with rules 1,2 and 6. Clearly Harry can not pre-load the boxes to cover all the eventualities without violating one of the rules. This is where the quantum wierdness comes in. Bell's inequalities mathematically prove there is no realistic deterministic method to pre load the boxes to satisfy quantum rules. Harry's pre-loading the boxes is what is sometimes referred to as "hidden variables". Experimental evidence rules out hidden predetermined variables and this is often referred to as violating Bell's inequalities in the literature. The only logical explanation of quantum entanglement that agrees with actual experiments is that the particles (the boxes) communicate faster than the speed of light with each other and opening one box and seeing what is inside instantaneously changes the contents of the other box.
In fact quantum entanglement is a little wierder than I have already described. I described each box as having two compartments of which you are only allowed to open one compartment to make it easier to visualise. A better description is a box with only one compartment and you have to ask a question before you open the box. So if Anne asks "What kind of animal is in my box?" she will find either a dog or a cat when she opens the box and no sign of socks anywhere in the box. If Anne asks "What colour socks are in my box?" she will find either a red sock or a blue sock and no hint of a dog or a cat or traces of fur in her box. What she sees when she opens the box depends on what question she asks of the box before she opens it. So if Anne asks what type of animal is her box and opens it to discover a dog, a signal is sent to Bob's box saying the contents are allowed to be cat, dog or red sock but blue sock is not allowed. If Bob asks what kind of sock is in his box then there is 100% probability of there being a red sock inside and nothing else. If he asked what kind of animal is in his box then the it may be a cat or sometimes a dog. So this is wierder than Schrodinger's half alive, half dead cat because Bob's box contains an entity that is part dog, part cat and part sock and whether it materialises as a living animal or a red sock when Bob opens the box depends on what question Bob asks before he opens the box. I hope this analogy gives you an idea of just how weird or magic quantum effects are ;)