I Pseudorandom Entanglement and Special Relativity

greswd
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I was thinking about the superluminal speeds observed with quantum entanglement.

Perhaps the particles are not really entangled, each of them just changes their spin with an in-built pseudorandom algorithm, allowing them to appear to be "in-sync" and thus entangled.

This is just purely hypothetical.
 
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greswd said:
I was thinking about the superluminal speeds observed with quantum entanglement.

Perhaps the particles are not really entangled, each of them just changes their spin with an in-built pseudorandom algorithm, allowing them to appear to be "in-sync" and thus entangled.

This is just purely hypothetical.

Hypothetical conjecture is normally not welcome for threads. What you are proposing, however, is the same question that is presented here frequently. That being: Could local hidden variables account for entangled pair statistics?

The answer to that question is: NO. Please take a bit of time to read up on EPR (1935) and especially Bell's Theorem (1964), which concludes:

No physical theory of local hidden variables can ever reproduce all of the predictions of quantum mechanics.
 
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greswd said:
I was thinking about the superluminal speeds observed with quantum entanglement.

Perhaps the particles are not really entangled, each of them just changes their spin with an in-built pseudorandom algorithm, allowing them to appear to be "in-sync" and thus entangled.

This is just purely hypothetical.
Looks like a local hidden variable explanation which rules it out. I think this one is like the coincidence loophole and has been ruled out by experiments.

[Dr C. beat me by seconds]
 
Mentz114 said:
[Dr C. beat me by seconds]

Yes, but you beat me by seconds on the other thread. :)
 
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Mentz114 said:
I think this one is like the coincidence loophole and has been ruled out by experiments

Did those experiments involve the concept of a pseudorandom generator?
 
DrChinese said:
Hypothetical conjecture is normally not welcome for threads. What you are proposing, however, is the same question that is presented here frequently. That being: Could local hidden variables account for entangled pair statistics?

The answer to that question is: NO. Please take a bit of time to read up on EPR (1935) and especially Bell's Theorem (1964), which concludes:

No physical theory of local hidden variables can ever reproduce all of the predictions of quantum mechanics.

Can you elaborate Bell's theorem regarding pseudorandom generators? Thanks.
 
greswd said:
Can you elaborate Bell's theorem regarding pseudorandom generators? Thanks.

A pseudorandom generator is simply a specific form of hidden variables. Bell's Theorem shows that any hidden variable theory is incompatible with the predictions of QM. You really need to understand Bell's Theorem before we can proceed further.

Hint: pseudorandom generators (and hidden variable theories in general) CAN explain perfect correlation/anti-correlation of entangled particles when their spin is measured at the same angles. However, at other angles, it cannot do so.
 
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I might humbly suggest a page on my web site, which presents a simple proof of the theorem:

http://drchinese.com/David/Bell_Theorem_Easy_Math.htm

If you understand this, you will understand why no local (independently evaluated) algorithm can emulate QM. All local hidden variable hypotheses are either pseudo-random or purely random, by the way. They couldn't match the most obvious of observation otherwise.
 
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Oh I see.

My mind is so torn.

On the one hand, we have the de Sitter effect, which is IMHO one of the strongest evidences for Special Relativity. On the other hand, we are confronted with entanglement.

Us not being able to send any meaningful information with entanglement doesn't placate it.

What to do? :confused:
 
  • #10
greswd said:
On the one hand, we have the de Sitter effect, which is IMHO one of the strongest evidences for Special Relativity. On the other hand, we are confronted with entanglement.

... What to do?

Beauty is in the eye of the beholder, and so is one's view of SR and QM.

Modern quantum field theory is relativistic. There is no significant contradiction between SR and QM. Physicists who work with particle accelerators every day (there are a number on this forum) use both without any worry. If they don't worry, I don't worry. :)
 
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  • #11
greswd said:
My mind is so torn.

On the one hand, we have the de Sitter effect, which is IMHO one of the strongest evidences for Special Relativity. On the other hand, we are confronted with entanglement.
Isn't de Sitter effect evidence for General Relativity?

Anyways, you probably are mixing up Special Relativity (a physics theory) and the idea that Relativity principle is fundamental (assumption).
 
  • #12
zonde said:
Isn't de Sitter effect evidence for General Relativity?

Anyways, you probably are mixing up Special Relativity (a physics theory) and the idea that Relativity principle is fundamental (assumption).

The de Sitter effect for binary stars.

Videos taken of binary stars very far away don't exhibit the dynamic lag that is to be expected if emission theory is correct.
This proves that spacetime is Lorentzian, not Galilean.

A superluminal signal in the case of entanglement suggests a superluminal reference frame, something that can't exist in the Lorentzian framework.
 
  • #13
greswd said:
Oh I see.

My mind is so torn.

On the one hand, we have the de Sitter effect, which is IMHO one of the strongest evidences for Special Relativity. On the other hand, we are confronted with entanglement.

Us not being able to send any meaningful information with entanglement doesn't placate it.

What to do? :confused:

I don't know what the de Sitter effect has to do with quantum entanglement, but the solution is very simple. Just use standard relativistic local quantum field theory which is among the most successful fundamental theories ever discovered. There is by construction no action at a distance, and indeed problems a la EPR with entanglement only come from the unnecessary assumption that there is a collapse of the state as a real process. There is no such thing within standard relativistic QFT, and thus we can live very well with an astonishing significance of violation of Bell's inequality as predicted by standard QFT, i.e., with the long-ranged correlations described by some entangled many-body (usually two-photon) states.
 
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  • #14
greswd said:
This proves that spacetime is Lorentzian, not Galilean.
It doesn't. Experiments don't prove anything.
De Sitter experiment falsifies emission theory and confirms special relativity.
greswd said:
A superluminal signal in the case of entanglement suggests a superluminal reference frame, something that can't exist in the Lorentzian framework.
Superluminal phenomena can coexist with relativistic particles if you take Relativity principle as effective, not fundamental.
 
  • #15
zonde said:
It doesn't. Experiments don't prove anything.
De Sitter experiment falsifies emission theory and confirms special relativity.

Superluminal phenomena can coexist with relativistic particles if you take Relativity principle as effective, not fundamental.

Do you know of any candidates for a superseding theory of flat spacetime involving superluminal reference frames?
 
  • #16
greswd said:
Do you know of any candidates for a superseding theory of flat spacetime involving superluminal reference frames?
Lorentzian interpretation (LET) of special relativity is based on preferred reference frame so it can be easily extended with superluminal phenomena.
 
  • #17
  • #18
greswd said:
Do you have any articles which describe how it is extended?
I don't know of any (haven't looked for such articles actually). But I suppose it's too trivial to expect any.
You just assume that one reference frame is special and describe any superluminal phenomena in that reference frame.

I looked at the thread and the link in that thread. I don't know that no-go theorem mentioned in the article but of course one has to give up some symmetries of SR when introducing preferred frame.

Btw have you looked at his thread https://www.physicsforums.com/threads/ftl-signal-and-causality.854757/?
 
  • #19
yeah the tachyonic antitelephone

zonde said:
one has to give up some symmetries of SR when introducing preferred frame.

Idk, imaginary transverse space doesn't make sense to me.
 
  • #20
greswd said:
imaginary transverse space doesn't make sense to me.
Neither to me.
 
  • #21
zonde said:
Neither to me.
Then I don't think it can be easily extended.
 
  • #22
greswd said:
Then I don't think it can be easily extended.
Sorry, I don't follow you.
 
  • #23
I was referring to your post #16. Attempting to extend it may lead to imaginary transverse space, a concept that doesn't make much sense.
 
  • #24
greswd said:
I was referring to your post #16. Attempting to extend it may lead to imaginary transverse space, a concept that doesn't make much sense.
I don't see how picking preferred frame can introduce "imaginary transverse space". I just take some inertial frame that is valid in SR and attach a label to it that says it's "special". Where do I get "imaginary transverse space"?
 
  • #25
zonde said:
I don't see how picking preferred frame can introduce "imaginary transverse space". I just take some inertial frame that is valid in SR and attach a label to it that says it's "special". Where do I get "imaginary transverse space"?
in #15 I mentioned superluminal reference frames, which if you see the other thread I posted, has imaginary y and z transformations.
 
  • #26
greswd said:
in #15 I mentioned superluminal reference frames, which if you see the other thread I posted, has imaginary y and z transformations.
Let me ask you, do you understand that the paper you are discussing in the other thread derives some transformation under quite specific assumptions?
So that you can't make general statements based on results of that paper.
 
  • #27
zonde said:
Let me ask you, do you understand that the paper you are discussing in the other thread derives some transformation under quite specific assumptions?
So that you can't make general statements based on results of that paper.
I'm still thinking in terms of superluminal reference frames.

From my understanding that is what the paper describes.

I believe that the existence of superluminal entities implies the existence of superluminal special-relativistic reference frames. Idk, I could be wrong.
 
  • #28
zonde said:
Let me ask you, do you understand that the paper you are discussing in the other thread derives some transformation under quite specific assumptions?
So that you can't make general statements based on results of that paper.
I'm interested in the extensions to superluminal frames. Maybe superluminal entities can exist, but never superluminal frames? That sounds odd, but is entirely possible.
 
  • #29
greswd said:
I'm interested in the extensions to superluminal frames. Maybe superluminal entities can exist, but never superluminal frames? That sounds odd, but is entirely possible.
Special relativity describe symmetries between certain reference frames. Superluminal entities simply can't follow these symmetries described by SR i.e. physical laws for superluminal entities have to be different (asymmetric) in different reference frames.
 
  • #30
greswd said:
I believe that the existence of superluminal entities implies the existence of superluminal special-relativistic reference frames. Idk, I could be wrong.

What superluminal entities are we talking about? (And does that have something to do with this thread?)

Note that for Bohmian Mechanics, where there is instantaneous action at a distance, there is no "superluminal" reference frames (whatever those are). Many believe that Bohmian Mechanics requires a preferred reference frame, however.
 
  • #31
Anyway, Bell showed that the results may not be reproduced with hidden variables and that randomness is fundamental. But the need of non-locality to explain what happens is another thing.
greswd said:
Perhaps the particles are not really entangled, each of them just changes their spin with an in-built pseudorandom algorithm, allowing them to appear to be "in-sync" and thus entangled..
Why pseudo random ? with pure random algorithms, you can get strange things.

Not to say that QM is not predictive in the experiments, but enough to ask, knowing the capacity of some algorithms , how can one infere on non-locality instead of searching better ?

If one knows well EPR and javascript, I can send him a link to one of these simplified algorithms with strange results in a private message ( the source is very short ).
 
  • #32
zonde said:
Special relativity describe symmetries between certain reference frames. Superluminal entities simply can't follow these symmetries described by SR i.e. physical laws for superluminal entities have to be different (asymmetric) in different reference frames.
That might be true but I'm not sure as to how it can be easily extended.
 
  • #33
DrChinese said:
What superluminal entities are we talking about?
Note that for Bohmian Mechanics, where there is instantaneous action at a distance, there is no "superluminal" reference frames (whatever those are). Many believe that Bohmian Mechanics requires a preferred reference frame, however.
The speed of entanglement I guess. Any instantaneous worldline remains a superluminal worldline in another frame is SR.
 
  • #34
Igael said:
Why pseudo random ? with pure random algorithms, you can get strange things.

I just wanted to figure out how scientists managed to rule out pseudorandomness to confirm non-locality.
 
  • #35
Define "speed of entanglement". I've no clue what that means. By construction relativistic quantum-field theory works with local interactions and is causal. Entanglement can mean that there are long-ranged correlations between parts of a quantum system, but that doesn't violate relativistic causality, which is also implemented by construction in relativistic QFT ("microcausality").
 
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  • #36
vanhees71 said:
Define "speed of entanglement". I've no clue what that means. By construction relativistic quantum-field theory works with local interactions and is causal. Entanglement can mean that there are long-ranged correlations between parts of a quantum system, but that doesn't violate relativistic causality, which is also implemented by construction in relativistic QFT ("microcausality").
This one:
http://www.extremetech.com/extreme/...stance-at-least-10000-times-faster-than-light

We currently have no way of sending meaningful signals with entanglement, but isn't there still some superluminal link between the entangled particles?
 
  • #38
greswd said:
That might be true but I'm not sure as to how it can be easily extended.
What has to be extended? I don't understand where do you see the problem (given you are ready to give up SR symmetries).

greswd said:
I just wanted to figure out how scientists managed to rule out pseudorandomness to confirm non-locality.
This is easy. Pseudorandomness obeys Bell inequalities. If Bell inequalities are violated pseudorandomness is ruled out.
 
  • #39
vanhees71 said:
By construction relativistic quantum-field theory works with local interactions and is causal. Entanglement can mean that there are long-ranged correlations between parts of a quantum system, but that doesn't violate relativistic causality, which is also implemented by construction in relativistic QFT ("microcausality").
I would like to ask what you think about one simple model. Let me describe it.

We have two variables x and y where x can have values {1,2,3,4} but y can have {5,6,7,8}
We combine x and y into a pair. Now x|y pair can have values from set {1|5, 1|6, 1|7, 1|8, 2|5, 2|6, 2|7, 2|8, 3|5, 3|6, 3|7, 3|8, 4|5, 4|6, 4|7, 4|8} but from that set we take out values {1|5, 2|6, 3|7, 4|8} so that now x|y pair can have values from set F={1|6, 1|7, 1|8, 2|5, 2|7, 2|8, 3|5, 3|6, 3|8, 4|5, 4|6, 4|7}
For x we define an operation "+1" that makes x take the next value from the set {1,2,3,4} or the first value if it has last value in the set (like that 1->2 or 2->3 or 3->4 or 4->1). But we add a condition that operation "+1" can't take the pair x|y out of the set F.

Now we create pair of x|y with unknown values and send x and y to two separate remote locations. At one remote location we perform "+1" operation on unknown x 0 to 3 times. Then we look at the value of x. Depending on the value of x we find out that y at remote location can't have a certain value.
I would say that such a model can be implemented only if operation "+1" on x is allowed to change value of y remotelly i.e. it's implementation has to be non-local.
Do you agree?
 
  • #40
I don't understand this example. What has this to do with quantum dynamics?
 
  • #41
zonde said:
What has to be extended? I don't understand where do you see the problem (given you are ready to give up SR symmetries).
The Lorentzian interpretation (LET) of special relativity as you mentioned earlier. I don't really have any opinion on whether to give it up or not.
 
  • #42
greswd said:
The Lorentzian interpretation (LET) of special relativity as you mentioned earlier. I don't really have any opinion on whether to give it up or not.
Giving up SR symmetries for FTL entities/phenomena is the only extension that is needed for LET i.e. physical laws for superluminal entities have to be different in different reference frames.
 
  • #43
vanhees71 said:
I don't understand this example. What has this to do with quantum dynamics?
This is analogy of Fock space as I understand it for a special case of a pair of entangled particles.
Well, it needs a minor correction. Let's say we can't look at values of x and y but instead we can ask question if x or y has a particular value with yes/no type of answer.
 
  • #44
zonde said:
Well, it needs a minor correction. Let's say we can't look at values of x and y but instead we can ask question if x or y has a particular value with yes/no type of answer.
And another correction, sorry. We have to define "+1" operation for y too and apply it arbitrary number of time on y at remote location. Only then the implementation requires non-locality.
 
  • #45
zonde said:
I would like to ask what you think about one simple model. Let me describe it.
If I understand your algorithm , you build indexed pairs and each side uses the list sequentially ?
if yes, it needs memory and it doesn't work with random polarizers tilts. Else the simple solution where the hidden variable is the spin would work ...

Edit : reading further, I didn't understand correctly ...
 
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  • #46
greswd said:
The speed of entanglement I guess. Any instantaneous worldline remains a superluminal worldline in another frame is SR.

For this to have a particular meaning, you would need to have an interpretation in which something occurs FTL. There are local non-realistic interpretations of QM that follow Bell. In those, c is still a limiting factor, even with entanglement.
 
  • #48
greswd said:

Yes, I am well familiar with this. It says that IF there are FTL effects, they must be at least 10,000c.

You may not be familiar with the following point: all entanglement interaction diagrams show direct lines of action which are limited to c. The outstanding question is whether the observations of the entangled particles involves an effect going directly from point A to point B, or is something else. Even in standard QM, there is no hypothetical mechanism, force, etc that travels FTL - even though QM does make the predictions as to the observed correlations. But the mechanism itself need not be FTL. For example, there could be backward-in-time influences.
 
  • #49
Which would be even worse!
 
  • #50
DrChinese said:
But the mechanism itself need not be FTL. For example, there could be backward-in-time influences.
what's a backward-in-time influence?
 

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