Special Relativity and Entanglement

thenewmans
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I’ve been thinking about the implications of Special Relativity on Entanglement. Please tell me if I’m misunderstanding anything here. So let’s say an emitter is a light-year away and sends one entangled photon toward Earth and the other away from Earth. Just when the photon reaches Earth and we measure it, the other photon gets measured at the same angle. So the results match as expected (meaning one spins up and the other down.) We know that the spin was not set at the emitter because of Bell’s well tested theorem. But the photons are measured at the same time only from our inertial frame of reference. It seems to me that you could measure that other photon anywhere along its path and there exists some frame that preserves the two measurements as occurring at the same time. From our frame, the measurements could be years apart. So when a measurement causes wave collapse, you can’t really say which of the two measurements caused it.

Does all that make sense?
 
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thenewmans said:
... So when a measurement causes wave collapse, you can’t really say which of the two measurements caused it.

Does all that make sense?

Sure. :smile:
 
Thanks Doc!
 
thenewmans, I think 'someone' in this thread is having just a little too much fun... no names, no fingers. :wink:

Your question is excellent, and in fact – this is one of hardest problems to solve regarding entanglement and EPR-Bell experiments!

Why!?

Because, as you point out, the values of the photons cannot be set at the source, and the entangled pair share the same wavefunction, and this wavefunction can only decohere once, and then the entanglement is broken, once and for all.

As you see, either Alice OR Bob must set the outcome, and this just doesn’t work with our current understanding of Special Relativity and inertial frame of reference...

Anyone still smiling??
 
It's only a hard problem in Copenhagen Interpretation. Go to Many Worlds Interpretation and it's easy as pi. Since interpretations are actually equivalent, when you run into situation like this, choosing the right interpretation to use is very important.
 
DevilsAvocado said:
thenewmans, I think 'someone' in this thread is having just a little too much fun... no names, no fingers. :wink:

Your question is excellent, and in fact – this is one of hardest problems to solve regarding entanglement and EPR-Bell experiments!

Why!?

Because, as you point out, the values of the photons cannot be set at the source, and the entangled pair share the same wavefunction, and this wavefunction can only decohere once, and then the entanglement is broken, once and for all.

As you see, either Alice OR Bob must set the outcome, and this just doesn’t work with our current understanding of Special Relativity and inertial frame of reference...

Anyone still smiling??

Well DrChineese has earned my respect. So if he has fun at my expense, I can accept that. So why must the outcome be set by either Bob or Alice? I'm hoping you can give me some clues I can follow up on and learn more. From what I've heard of Dirac, he did a good job at combining SR and QM. So I figure there must be something there for me to sink my teeth in. Plus, my understanding is that there really is no conflict between the two since no info travels FTL. I can accept that too.
 
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K^2 said:
It's only a hard problem in Copenhagen Interpretation. Go to Many Worlds Interpretation and it's easy as pi. Since interpretations are actually equivalent, when you run into situation like this, choosing the right interpretation to use is very important.

So K^2, How does MWI help me understand this? I know MWI only superficially. Just from guessing, from one world, the wave collapse is initiated from one end. And from the other world, it was initiated from the other end. Am I close?
 
Special relativity is bound up with the impossibility of transmitting messages faster than the speed of light. If special relativity is true, no material carrier of a message can be accelerated from rest to speeds greater than that of light. A message transmitted faster than light would, according to some clocks, be a message that arrived before it was sent, potentially unleashing all the paradoxes of time travel.
 
thenewmans said:
So K^2, How does MWI help me understand this? I know MWI only superficially. Just from guessing, from one world, the wave collapse is initiated from one end. And from the other world, it was initiated from the other end. Am I close?
In MWI, there is no such thing as wave function collapse. When you observe a state, you become entangled to that state. Think Shroedinger's Cat. Say you measured spin of a particle. The total state of the system is now (you measured "up" * spin is "up") + (you measured "down" * spin is "down"). Because of linearity, your state of having measured "up" cannot interact with state where you measured "down", so after the measurement, you can only observe the measured spin as being "up". And vice versa. If you measured down, you can now only observe it as down. Subsequent measurements don't make a change to this state. Result is apparent wave function collapse.

Now suppose you have two people making measurements on two particles from entangled pair. Each person is now entangled to his own particle, but because the particles are entangled, so are now the two persons who measured the states. They both end up measuring "up" or "down" with equal probability, but if they happen to exchange information about the experiment, the person that measured "up" can only interact with the state of the other person who also measured "up". Hence both particles appearing to collapse, and it doesn't matter which person started the experiment and even if they did it at the same time.
 
  • #10
K^2 said:
It's only a hard problem in Copenhagen Interpretation. Go to Many Worlds Interpretation and it's easy as pi.

Sure, I have always been a big fan of physical proofs. If you just show me which of the many doors to enter, I’ll go check it out... :smile:
 
  • #11
thenewmans said:
Well DrChineese has earned my respect. So if he has fun at my expense, I can accept that.

DrCheese?? Who is that!? :bugeye:

Serious, we are all a bunch of old laughing farts in this forum, and I was joking as well. DrC has taught me almost everything I know about EPRB, and I think he can "take it". :smile:

thenewmans said:
So why must the outcome be set by either Bob or Alice? I'm hoping you can give me some clues I can follow up on and learn more.

Entanglement is the translation of Erwin Schrödinger’s term Verschränkung. According to Anton Zeilinger, entanglement is not as describing as the German term:

2cpb4ia.png


I.e. the objects that make up an entangled system (pair) are linked in such a way that the system cannot be adequately described without full mention of the other members of the system – they are a part of the same system even if the individual objects are spatially separated.

Think of the shared wavefunction as a "virtual rubber band" that 'carries' this link between the objects.

Q: How many times can you cut a rubber band before it becomes useless?

thenewmans said:
Plus, my understanding is that there really is no conflict between the two since no info travels FTL.

That is correct. The outcome in EPRB is always 100% random = 50/50 = random noise. This cannot be used to send "messages". The key point in EPRB is correlations, and these are always checked afterwards, when the data is in the in same spatial location.

But, there must be "something going on", that travels much faster than the speed of light, and this is when you get into conflict with SR...
 
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  • #12
thenewmans said:
How does MWI help me understand this?

http://en.wikipedia.org/wiki/Many-worlds_interpretation"

[PLAIN]http://upload.wikimedia.org/wikipedia/en/thumb/b/b7/MWI_Schrodingers_cat.png/500px-MWI_Schrodingers_cat.png
 
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  • #13
thenewmans said:
Well DrChineese has earned my respect. So if he has fun at my expense, I can accept that. So why must the outcome be set by either Bob or Alice?

I promise I was not making fun of anyone... except maybe myself, DrMac&Cheese.

Seriously, you cannot strictly say that either Alice or Bob collapse the wave function unless you postulate a physical mechanism to go with it. So it is easy for me to agree with what was said in the first post. It is "AS IF" there is a hypersurface in which Alice and Bob participate in the collapse simultaneously. That hypersurface would not correspond to spacetime as envisioned by SR or GR.
 
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  • #14
DevilsAvocado said:
Serious, we are all a bunch of old laughing farts in this forum, and I was joking as well. DrC has taught me almost everything I know about EPRB, and I think he can "take it". :smile:
DevilsAvocado, thank you for helping me with this. Where would we all be without DrChinese? I hope he feels the appreciation.
DevilsAvocado said:
But, there must be "something going on", that travels much faster than the speed of light, and this is when you get into conflict with SR...
You have said a key phrase for me here. Sometimes I hear myself saying something similar and I feel as if I'm painting myself into a corner. And this is the essence of my original post. It seems to me that your statement implies things like a direction, simultaneity and a preferred inertial frame of reference. From an SR point of view, describing events usually requires selecting an inertial frame of reference. But changing that frame does not change what actually happened. In other words, if someone travels past Alice at 95% C just as Alice measures the photon, does that “something” (wave collapse?) travel FTL from his point of view as well? As I follow this line of reasoning, it only gets worse. Keep in mind that the 2 photons are traveling in completely opposite directions. That puts them both completely outside of each other’s past and future cones. It seems to me like the only solution is to say that there’s no way to determine which measurement was done first.

At a philosophical level, I understand that QM must break some classic principal we hold dear. But why must local realism be the most common victim? I get the feeling it's a popular whipping boy simply out of some lack of knowledge. It seems to me like an unnecessary assumption.
 
  • #15
DrChinese said:
... except maybe myself, DrMac&Cheese.

You’re the BEST! :smile: :smile: :smile:

Kindest Regards
SatansGuacamole
 
  • #16
thenewmans said:
... there’s no way to determine which measurement was done first.

Absolutely right! According to SR there is no universal NOW and hence it’s impossible to decide which comes first and after.

As far as I understand this matter, QM and EPRB needs that universal NOW to determine when the entanglement is no more, so to speak, and BOOM there you have a BIG (and very interesting) conflict.

thenewmans said:
But why must local realism be the most common victim?

Well, Local + Realism is dead, stone dead. If you take only one of them, it’s okay, if the other is killed. You could say: Okay, then I take locality and kill realism! This will mean we have something called non-separability and I am not the man to explain exactly what this means, but you can read more about it here:
http://plato.stanford.edu/entries/physics-holism/"
 
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  • #17
DevilsAvocado said:
As far as I understand this matter, QM and EPRB needs that universal NOW to determine when the entanglement is no more, so to speak, and BOOM there you have a BIG (and very interesting) conflict.
Wait, so you're saying that there is a preferred inertial frame of reference in QM? I thought ideas like that died out 100 years ago with Lorentz. Are you coming at this from a particular interpretation or is that the case for all interpretations?

Oh, and maybe I should ask what EPRB is. All this time I thought you were mistyping EPR. I can't find EPRB in wikipedia.
 
  • #18
DevilsAvocado said:
As far as I understand this matter, QM and EPRB needs that universal NOW to determine when the entanglement is no more, so to speak, and BOOM there you have a BIG (and very interesting) conflict.
No. EPR works in RQFT, where NOW depends on the frame of reference.
 
  • #19
K^2 said:
In MWI, there is no such thing as wave function collapse. When you observe a state, you become entangled to that state. Think Shroedinger's Cat. Say you measured spin of a particle. The total state of the system is now (you measured "up" * spin is "up") + (you measured "down" * spin is "down"). Because of linearity, your state of having measured "up" cannot interact with state where you measured "down", so after the measurement, you can only observe the measured spin as being "up". And vice versa. If you measured down, you can now only observe it as down. Subsequent measurements don't make a change to this state. Result is apparent wave function collapse.

Now suppose you have two people making measurements on two particles from entangled pair. Each person is now entangled to his own particle, but because the particles are entangled, so are now the two persons who measured the states. They both end up measuring "up" or "down" with equal probability, but if they happen to exchange information about the experiment, the person that measured "up" can only interact with the state of the other person who also measured "up". Hence both particles appearing to collapse, and it doesn't matter which person started the experiment and even if they did it at the same time.

Thanks K^2. I meant to ask you a follow-up. In MWI, let’s say Alice measures spin up. In that case, we know Bob will measure spin down or has already measured spin down. (My understanding is that the measurements should turn out opposite if done at the same angle.) So they’re both in the same MWI “state”. So does MWI have anything to say about who measured first? Or which measurement caused the world to split into two MWI states? Or am I correct in saying that there’s no way to determine that?
 
  • #20
K^2 said:
No. EPR works in RQFT, where NOW depends on the frame of reference.
Please elaborate. How does EPR work in RQFT. Does that require non-localism or non-realism? I guess non-realism, as you seem to be advocating the MWI.
 
  • #21
K^2 said:
No. EPR works in RQFT, where NOW depends on the frame of reference.

Please elaborate.

(I guess you just dismiss the whole EPR-Bell question thru MWI, but when do we get the physical proof for this interpretation?)
 
  • #22
thenewmans said:
Wait, so you're saying that there is a preferred inertial frame of reference in QM? I thought ideas like that died out 100 years ago with Lorentz.

And a lot of things that lived 50 years ago are dead today, like Local Realism. :smile:

I’m usually very careful to not come up with "personal speculations" and the tension and incompatibility Bell's theorem creates between QM and SR comes from the man himself http://en.wikipedia.org/wiki/John_Stewart_Bell" .

I’ve seen him on a video from 1990 (shortly before he died) saying these words, so there’s no guessing on my behalf.

You got to realize that these questions are not settled yet. We could have non-locality + realism, or locality + non-realism, or non-locality + non-realism. We just don’t know the correct answer yet.

Furthermore, logic says that either QM or SR must be 'slightly' wrong, but at the moment we have no idea which. They are both very solid theories and to my understanding – there must be "a big prize" waiting around the corner for the person(s) who crack this nut...

thenewmans said:
Oh, and maybe I should ask what EPRB is.

Sorry, my fault: EPRB = EPR-Bell = EPR-Bell experiments = http://en.wikipedia.org/wiki/Bell_test_experiments"
 
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  • #23
thenewmans said:
So they’re both in the same MWI “state”. So does MWI have anything to say about who measured first? Or which measurement caused the world to split into two MWI states? Or am I correct in saying that there’s no way to determine that?

You should also ask K^2 this question: In MWI, when there’s a 50/50 outcome both always gets 'materialized' in different branches (worlds). Now, if you toss a coin a 100 times you expect to get approx 50 heads & tails, right?

But in one of these MWI branches some poor bastard will always get 100 tails, every time he performs this 'experiment'!

What is K^2’s advice to this guy? Just forget about it?? Or rewrite all laws on probability?? Or just show the "MWI-sign" if anybody ask 'difficult' questions??

:smile:
 
  • #24
DevilsAvocado said:
You should also ask K^2 this question: In MWI, when there’s a 50/50 outcome both always gets 'materialized' in different branches (worlds). Now, if you toss a coin a 100 times you expect to get approx 50 heads & tails, right?

But in one of these MWI branches some poor bastard will always get 100 tails, every time he performs this 'experiment'!

What is K^2’s advice to this guy? Just forget about it?? Or rewrite all laws on probability?? Or just show the "MWI-sign" if anybody ask 'difficult' questions??

:smile:

If each time Bob tosses a coin the universe splits into two universes, one where Bob got a head and one where he got a tail, then after 100 coin tosses there will be 2^(100) = 1.267E30 new universes. MWI is not very economical on resources. :smile:

However, MWI does not defy the laws of probability as far as I can tell. The probability of getting 100 tails is 1/2^(100) but if you have 2^(100) universes, then yes there will be one universe that contains a version of Bob that got a hundred straight tails in a row. If the experiment is repeated there is a 1/2(100) chance that the Bob that got 100 tails the first time around will get 100 tails the second time around which is (very) far from saying that the same Bob will get 100 tails every time the experiment is carried out.
 
  • #25
There is a 1/10^30 chance that you'll get heads 100 times in a row. There is a 1/10^30 chance that you'll observe a world where 100 heads come in a row. Either way, you just won some cosmic lottery. (And all you got was this lousy t-shirt.)

How does EPR work in RQFT
Same way it does in classical QM. You can have entangled states, and you collapse both by measuring either one. If both are measured, which measurement results in a collapse depends on your frame of reference.
 
  • #26
DevilsAvocado said:
logic says that either QM or SR must be 'slightly' wrong, but at the moment we have no idea which. They are both very solid theories and to my understanding – there must be "a big prize" waiting around the corner for the person(s) who crack this nut...

Maybe your logic says so, but there is no conflict between QM and SR. Our best theory, QED, combines QM and SR to produce the most accurate predictions we ever had. And QED is the basis of quantum optics, the discipline which performs all these wonderful experiments on entanglement. Nothing wrong there, only somewhat of a no man's land at the very foundation (just as in most disciplines if you dig deep enough).

http://arxiv.org/pdf/quant-ph/9906034
shows how measurements in a relativistic context are compatible with SR and QM.There seems to be a conflict between QM and _general_ relativity, but even this is not clear cut.
 
  • #27
A. Neumaier said:
There seems to be a conflict between QM and _general_ relativity, but even this is not clear cut.

Okay, give me a link to the final solution of Quantum Gravity, and then we can start to discuss what’s seems logical or not.
 
  • #28
Quantum Gravity is a proposed resolution to conflict between Quantum Mechanics and General Relativity. Resolution to conflict between classical QM and SR is called Relativistic Quantum Field Theory, and it works. I deal with RQFT on daily basis, because without that we wouldn't really have particle physics.
 
  • #29
DevilsAvocado said:
Okay, give me a link to the final solution of Quantum Gravity, and then we can start to discuss what’s seems logical or not.

http://lanl.arxiv.org/pdf/2504.0375
 
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  • #30
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  • #31
A. Neumaier said:
http://arxiv.org/pdf/quant-ph/9906034
shows how measurements in a relativistic context are compatible with SR and QM.
A quick skim of that paper suggests that the wave function of the entangled particles collapses "instantaneously" (read simultaneously) in any reference frame. This is O.K with SR because this simultaneous connection between distant particles can not be used to transfer matter or information at super-luminal velocities at the macro level. This instantaneous collapse in any reference frame seems somewhat paradoxical because in one reference frame Alice detects her particle first and collapses the wave function while the entangled particle is en-route to Bob, while in a different reference frame Bob detects his particle first and the wave function collapse occurs while Alice's particle is en-route to her detectors. This paradox is presumably resolved because no measurement can be made en-route so no can can prove what happened where and when before measurement and because quantum mechanics does not even allow the location of a particle that is en-route to be specified. Is that about right?
 
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  • #32
DevilsAvocado said:
That looks real promising.

2r47hjq.png

As you can infer from the URL (if you are familiar with the arXiv), the paper appeared as a preprint in April 2025. It seems that your internet connection cannot access preprints that appeared later than January 2011. You need to fix that.
 
  • #33
yuiop said:
A quick skim of that paper suggests that the wave function of the entangled particles collapses "instantaneously" (read simultaneously) in any reference frame. This is O.K with SR because this simultaneous connection between distant particles can not be used to transfer matter or information at super-luminal velocities at the macro level. This instantaneous collapse in any reference frame seems somewhat paradoxical because in one reference frame Alice detects her particle first and collapses the wave function while the entangled particle is en-route to Bob, while in a different reference frame Bob detects the his particle first and the wave function collapse occurs while Alice's particle is en-route to her detectors. This paradox is presumably resolved because no measurement can be made en-route so no can can prove what happened where and when before measurement and because quantum mechanics does not even allow the location of a particle that is en-route to be specified. Is that about right?

Roughly. Things can be checked (a) only statistically, and (b) only later in the future after Alice and Bob meet to compare notes. This is enough to reconcile the apparent conflict. On the mathematical level, everything is alright, hence there cannot be a real conflict.
But I am not a fan of such experiments (or thought experiments) and don't care about the details; so I can't explain it better.
 
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  • #34
yuiop said:
A quick skim of that paper suggests ...

That description matches so well the image I have in my head. Plus it confirms my OP! Thank you.
 
  • #35
A. Neumaier said:
As you can infer from the URL (if you are familiar with the arXiv), the paper appeared as a preprint in April 2025. It seems that your internet connection cannot access preprints that appeared later than January 2011. You need to fix that.

Sure, if you just give me a link to that silly little time machine of yours, I’ll install it right away.


... or do I need the salvation of higher powers to make it work ...?
 
  • #36
DevilsAvocado said:
... or do I need the salvation of higher powers to make it work ...?

This "salvation of higher powers" sounds like it might come in handy. Where can I download that? I think I might need it. :wink:
 
  • #37
DevilsAvocado said:
Sure, if you just give me a link to that silly little time machine of yours, I'll install it right away.

I can't do this for license reasons; I only have a confidential alpha version (and, understandably, it is still full of bugs).
I suggest you simply wait...
 
  • #38
yuiop said:
This "salvation of higher powers" sounds like it might come in handy. Where can I download that? I think I might need it. :wink:

Seek and ye shall find.

(There are a lot of 'buggy' homepages out there ... with mighty alpha versions etc ... :wink:)
 
  • #39
A. Neumaier said:
I can't do this for license reasons; I only have a confidential alpha version (and, understandably, it is still full of bugs).
I suggest you simply wait...

Okay. :zzz:
 
  • #40
Have you ever been walking down a pavement (sidewalk :wink:) and you see someone coming the other way and being polite you step to one side to give way to the other person ... but they do exactly the same thing and you are still on collision course? Sometimes this even happens multiple times in the same interaction.:eek: Well in the context of the OP with both entangled particles, there is a similar problem if both particles are detected *exactly* at the same time. Which particle "gives way"? Now the walking down the pavement problem does not usually happen with vehicles on the highway or ships at sea because there are "rules of the road or sea" to prevent this happening, like always give way on the right or always give way to the larger slower moving ship, etc. So *maybe* there are rules of the road for quantum particles? I am not proposing a new theory, just discussing some "visualisations" as an aid to discussions on how people see things.

Lets say, that one of a pair of entangled particles has some sort of "priority" so that there is a sort of master and slave arrangement and that the master is selected at random at the creation of the entangled pair. For example if we have of pair of circularly polarised photons, they have opposite polarisation, so one will have the vertical component of its wave a 1/4 wavelength ahead of its horizontal component while the other will have its vertical component 1/4 wavelength behind its horizontal component, so this is one way that a master particle can be determined without introducing any new hidden variables. Now if in one frame the particles are detected at widely separated locations simultaneously, there there can be found a reference frame in which the master photon is detected later than the slave photon. This requires that in that reference frame, the master photon would have to communicate backwards in time with the slave photon. This seems to create a problem because how is a master photon to determine whether to communicate forwards in time or backwards in time to the slave? One possible solution is to consider LET which is widely acknowledged to be fully compatible with SR in its predictions. In LET the Lorentz Ether is absolute and is the fixed (but undetectable) background that everything moves relative to. Now if the master photon transmits its sub quantum signals instantaneously in the Lorentz Ether reference frame, then this signal will be correctly transformed to the required future or past going direction under a standard Lorentz transformation so that the master photon requires no "knowledge" of whether to transits forwards or backwards or time, because the Lorentz transformations of LET (and SR) correctly handle all that. This is not a formal discussion, but since this thread seems to have stalled somewhat, I thought I would put some ideas out there to revitalise discussion.

Please note that I am not in any way suggesting that the "communications" between entangled particles can in any way be used to send information or matter super-luminally and forwards or backwards in time at the macro or human level. That is demonstrably not the case.
 
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  • #41
yuiop said:
If each time Bob tosses a coin the universe splits into two universes, one where Bob got a head and one where he got a tail, then after 100 coin tosses there will be 2^(100) = 1.267E30 new universes. MWI is not very economical on resources. :smile.

This doesn't matter since only one of them is real. Quantum fantasies are extremely cheap. You should spend your energies on more worthwhile subjects!
 
  • #42
thenewmans said:
At a philosophical level, I understand that QM must break some classic principal we hold dear. But why must local realism be the most common victim? I get the feeling it's a popular whipping boy simply out of some lack of knowledge. It seems to me like an unnecessary assumption.
Bell's proof demonstrated mathematically that it is impossible for any theory with properties that correspond to what physicists mean by "local realist" to replicate the predictions of QM (the properties are defined more precisely in the proof, but basically any theory where your description of the world can be broken down into a set of local facts, and the local facts at any given point in spacetime depend only on other facts in the past light cone of that point).
 
  • #43
DevilsAvocado said:
You should also ask K^2 this question: In MWI, when there’s a 50/50 outcome both always gets 'materialized' in different branches (worlds). Now, if you toss a coin a 100 times you expect to get approx 50 heads & tails, right?

But in one of these MWI branches some poor bastard will always get 100 tails, every time he performs this 'experiment'!

What is K^2’s advice to this guy? Just forget about it?? Or rewrite all laws on probability?? Or just show the "MWI-sign" if anybody ask 'difficult' questions??

:smile:
Similarly, if the universe is infinite in spatial extent, then for any given experiment there are going to be an infinite number of planets where that experiment is performed (including an infinite number where its performed by people who at the moment the experiment started were exact physical duplicates of the experimenter over here), and the law of large numbers says that some small fraction will get anomalous results like 100 tails in a row. Do you think this is a proof that the universe must be finite, and if not, do you think this forces us to "rewrite all laws on probability"?
 
  • #44
JesseM said:
Bell's proof demonstrated mathematically that it is impossible for any theory with properties that correspond to what physicists mean by "local realist" to replicate the predictions of QM (the properties are defined more precisely in the proof, but basically any theory where your description of the world can be broken down into a set of local facts, and the local facts at any given point in spacetime depend only on other facts in the past light cone of that point).

Yeah, I realize now that I mean just localism. Not both. I guess what I mean is that when the wave collapses (or when the worlds divide), if you say something happens instantly over a distance, it sounds to me like you're giving up on SR and localism instead of some other principle like realism or counterfactual definiteness.
 
  • #45
yuiop said:
MWI is not very economical on resources. :smile:

I hear you! :smile: And we’re just discussion one silly little coin... On the other hand... if you calculate the lighting fast and enormous huge "WMI revenue" from tossing a single coin?? Man! If we just could find "the door" to those branches – we would be billionaires!o:)


(sorry, silly joke :blushing:)

yuiop said:
If the experiment is repeated there is a 1/2(100) chance that the Bob that got 100 tails the first time around will get 100 tails the second time around which is (very) far from saying that the same Bob will get 100 tails every time the experiment is carried out.

True. But as long as there’s the smallest chance, there will always be an extremist 'left-wing' and 'right-wing' -Bob on the binary tree, which has the "worst luck" in the whole "MWI universe"... :cry: (:wink:)

500px-HSE_ch5_binary_tree.png
 
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  • #46
JesseM said:
Similarly, if the universe is infinite in spatial extent, then for any given experiment there are going to be an infinite number of planets where that experiment is performed (including an infinite number where its performed by people who at the moment the experiment started were exact physical duplicates of the experimenter over here), and the law of large numbers says that some small fraction will get anomalous results like 100 tails in a row. Do you think this is a proof that the universe must be finite, and if not, do you think this forces us to "rewrite all laws on probability"?

Jesse, I know you master these matters much better than me. I’m basically a "fruitcake", fond of asking 'exasperating' questions :smile:. Hope you get picture and enjoy 'play along'...

First ('exasperating') question:
How do you split (branch) an infinite universe in finite time?

Second question:
I get that in an infinite universe "strange things" ought to happen "all the time" – like http://en.wikipedia.org/wiki/Boltzmann_brain" . I also get that the probability for Bob tossing 100 tails in a row in our "local universe", is extremely small.

Now, there is always gazillions of "tossing" going on in our "local universe" – why do we never see any sign of this weirdness "here"!? I mean, of all the probabilities that’s out there – everyone seems to cluster around the mean value in the probability distribution. Why are the no Boltzmann brains, or Bob-100-tails in our "local universe", or anything else that’s totally nuts? Not one thing?? :eek:

Okay, the "http://en.wikipedia.org/wiki/Wow!_signal" " looks strange, I admit that, but surely there should be a lot more 'bizarre stuff' going on, shouldn’t it...??

Third question:
If you 'believe' in MWI – why do you struggle with EPR-Bell? Doesn’t MWI remove all 'questions' regarding EPR-Bell?
 
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  • #47
yuiop said:
Well in the context of the OP with both entangled particles, there is a similar problem if both particles are detected *exactly* at the same time. Which particle "gives way"?

I tried that question earlier here on PF, and 'extended' it to having the two photons going parallel (heavily isolated of course ;) to the apparatus – to 'enforce' simultaneous decoherence, at *exactly* the same time!

And the answer was HUP, Heisenberg will not give us the precision needed to measure one single photon... if I remember it right... :rolleyes:

yuiop said:
Lets say, that one of a pair of entangled particles has some sort of "priority" so that there is a sort of master and slave arrangement

In fact I think this is the case... the photons are called the "signal" and "idler", for historical reasons, but I don’t think there’s any real difference between them though...

[PLAIN]http://qixote.org/research/hqpdc/pdc.png

And the 'magic' happens where the beams intersect:

[URL]http://www.tongue-twister.net/mr/physics/photons.jpg[/URL]

DrC knows all about this.

yuiop said:
This is not a formal discussion, but since this thread seems to have stalled somewhat, I thought I would put some ideas out there to revitalise discussion.

Please note that I am not in any way suggesting that the "communications" between entangled particles can in any way be used to send information or matter super-luminally and forwards or backwards in time at the macro or human level. That is demonstrably not the case.

Yes, and besides SR and the "FTL wall" we have the QM No-communication theorem:
[PLAIN said:
http://en.wikipedia.org/wiki/No-communication_theorem]No-communication[/PLAIN] theorem

In quantum information theory, a no-communication theorem is a result which gives conditions under which instantaneous transfer of information between two observers is impossible. These results can be applied to understand the so-called paradoxes in quantum mechanics such as the EPR paradox or violations of local realism obtained in tests of Bell's theorem. In these experiments, the no-communication theorem shows that failure of local realism does not lead to what could be referred to as "spooky communication at a distance" (in analogy with Einstein's labeling of quantum entanglement as "spooky action at a distance").


If we put MWI aside for a moment; you can use any argument you want on the 'nature' of the QM state before measurement like; foliation, dBB quantum equilibrium, or any 'fancy stuff' – when the wavefunction/photon has ended the 'journey' it hits the detector and becomes 'real', a 'click' in the apparatus. As far as I understand it’s very hard to squeeze this apparatus back to the microscopic 'QM world'. It’s macroscopic and it’s real and we can use our eyes to see the 'click' when it happens, in the domains of SR.

As concluded before – it’s normal for two observers in SR to disagree on whether events separated in space are simultaneous, or A before B, or B before A – it’s all relative to the frame of reference: http://en.wikipedia.org/wiki/Relativity_of_simultaneity"

"Einstein included two lightnings striking both ends of the train simultaneously, in the stationary observer's inertial frame. In this experiment, moving observer would conclude that the two lightning events were not simultaneous."

http://upload.wikimedia.org/wikipedia/commons/9/96/Einstein_train_relativity_of_simultaneity.png"

Now imagine that Mr. Green and Mr. Blue performed an EPR-Bell experiment... and instead of lightnings hitting the two observers, there’s measuring apparatus for entangled photons...

I hope you get 'the picture'... :rolleyes:
 
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  • #48
DevilsAvocado said:
First ('exasperating') question:
How do you split (branch) an infinite universe in finite time?
I don't really understand the question--what does the spatial extent of the universe have to do with the time of splitting? And I think "splitting" is only an approximate notion, though the question of what it means to talk of different "worlds" in the MWI is one I don't fully understand.
DevilsAvocado said:
Second question:
I get that in an infinite universe "strange things" ought to happen "all the time" – like http://en.wikipedia.org/wiki/Boltzmann_brain" . I also get that the probability for Bob tossing 100 tails in a row in our "local universe", is extremely small.

Now, there is always gazillions of "tossing" going on in our "local universe" – why do we never see any sign of this weirdness "here"!? I mean, of all the probabilities that’s out there – everyone seems to cluster around the mean value in the probability distribution. Why are the no Boltzmann brains, or Bob-100-tails in our "local universe", or anything else that’s totally nuts? Not one thing?? :eek:
I dunno, isn't that kind of like asking "why is it always someone else, not me, who wins tens of millions of dollars in lottery jackpots"? Obviously it could be you, but the fact that tens of millions of people play and only one or two win these huge jackpots seems to make it "natural" to expect you're probably not going to be the winner. Perhaps you could think of it in terms of the self-sampling assumption, a type of anthropic reasoning which says if there are a large number of observers in some class you also belong to, you should reason as if your place had been "randomly selected" from the set of all observers--for example, if I am part of an experiment where I know 100 subjects were given a certain medication while 50 subjects were given a placebo, but I don't know which group I'm in, I should assume there is double the chance that I was given the medication than the chance I was given the placebo. For more on the logic of the self-sampling assumption, see the website of philosopher Nick Bostrom, anthropic-principle.com.
DevilsAvocado said:
Third question:
If you 'believe' in MWI – why do you struggle with EPR-Bell? Doesn’t MWI remove all 'questions' regarding EPR-Bell?
I don't know that I "believe" it although from what I understand of the different interpretations it seems most elegant and plausible to me. And I don't know if I'd say I "struggle" with EPR-Bell, although I find it interesting...I would say that although the MWI gives me a general idea of how one could explain EPR in a "local" way, I don't understand the issue of the derivation of probabilities and the "splitting" of different "worlds" well enough to say that the MWI in its current form gives a definitive solution.
 
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  • #49
thenewmans said:
Yeah, I realize now that I mean just localism. Not both. I guess what I mean is that when the wave collapses (or when the worlds divide), if you say something happens instantly over a distance, it sounds to me like you're giving up on SR and localism instead of some other principle like realism or counterfactual definiteness.
Yes, I agree that it seems preferable to have a local explanation...I don't know if the assumption that there is only one result for each experimenter counts as "realism", so that the many-worlds interpretation is non-"realist", or if the MWI must be seen as a separate loophole, but I think at least in principle some variant of the MWI could explain the results in a purely local way, see the simple "toy model" I wrote up in [post=1557143]this post[/post].
 
  • #50
thenewmans said:
DevilsAvocado, thank you for helping me with this. Where would we all be without DrChinese? I hope he feels the appreciation.
You have said a key phrase for me here. Sometimes I hear myself saying something similar and I feel as if I'm painting myself into a corner. And this is the essence of my original post. It seems to me that your statement implies things like a direction, simultaneity and a preferred inertial frame of reference. From an SR point of view, describing events usually requires selecting an inertial frame of reference. But changing that frame does not change what actually happened. In other words, if someone travels past Alice at 95% C just as Alice measures the photon, does that “something” (wave collapse?) travel FTL from his point of view as well? As I follow this line of reasoning, it only gets worse.
At a philosophical level, I understand that QM must break some classic principal we hold dear. But why must local realism be the most common victim? I get the feeling it's a popular whipping boy simply out of some lack of knowledge. It seems to me like an unnecessary assumption.

Now this may be derived from my mis guided interpretation of QM and will probably label me the nut-case of the forum, however i also think that there must be something happening that is faster then light. But i don't think that its a signal or anything else that is traveling in a straight line connecting the two entangled parts. We have observed that electrons have the ability to (in layman's terms) blink in and out and "disappear". We see the world as three dimensions but what if there really was a 4th (or 11 if you buy into that theory as well) and the electrons were disappearing out of our 3 dimensional sight and bypassing space time to make the change. I always think of it like seeing two particles on a piece of paper. One on the top of the paper and the other on the bottom. The fastest way to connect the two particles is not to make a straight line between them but to fold the paper in half so that they are touching. ( does this make me crazy??)
 

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