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Old 06-10-2005   #1 (permalink)
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Question Bell's Proof and String Theory

I was wondering if anyone had some insight into how String Theory (or its derivations such as M Theory) deal with Bell's Proof of non-locality. From what I understand Bell states (indirectly) that underlying reality MUST be non-local in nature. His disproving of the EPR experimental findings shows as much (in regards to a two quon system anyhow). Heh, the very notion of the EPR findings does fly in the face of relational theory anyhow. How does string theory address/explain phase entanglement over large distances? Not with faster-than-light messenger particles, correct?

Pardon my poor grasp of these topics. I am a physics newbie and a mathematical moron.

regards,

jCc
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Old 06-10-2005   #2 (permalink)
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Re: Bell's Proof and String Theory

Quote:
Originally Posted by jasonchild
I was wondering if anyone had some insight into how String Theory (or its derivations such as M Theory) deal with Bell's Proof of non-locality. From what I understand Bell states (indirectly) that underlying reality MUST be non-local in nature. His disproving of the EPR experimental findings shows as much (in regards to a two quon system anyhow). Heh, the very notion of the EPR findings does fly in the face of relational theory anyhow. How does string theory address/explain phase entanglement over large distances? Not with faster-than-light messenger particles, correct?

Pardon my poor grasp of these topics. I am a physics newbie and a mathematical moron.

regards,

jCc
As I've stated in another thread, I'm not astrophysicist. But the idea of Bell's theorem is that there are no hidden variables underlying quantum mechanics. This means, as you said, reality is non-local. Also, it has since been suggested that the EPR paradox isn't actually a problem with relativity, because you cannot communicate information faster then light. Many worlders point to decoherence in hilbert space as both the mechanism for quantum's "spooky action at a distance" and as support for the many worlds quantum interpretation (if you want more on this, let me know.)
Now, as for the meat of your post, string theory. String theory does not attempt to explain entanglement effects, it is attempting to explain gravitational effects in a way that incorporates quantum effects, like uncertainty and entanglement. As such, it doesn't really postulate a mechanism for non-locality, just takes its existance as a given.
-Will
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Old 06-10-2005   #3 (permalink)
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Talking Re: Bell's Proof and String Theory

Quote:
Originally Posted by Erasmus00
As I've stated in another thread, I'm not astrophysicist. But the idea of Bell's theorem is that there are no hidden variables underlying quantum mechanics. This means, as you said, reality is non-local. Also, it has since been suggested that the EPR paradox isn't actually a problem with relativity, because you cannot communicate information faster then light. Many worlders point to decoherence in hilbert space as both the mechanism for quantum's "spooky action at a distance" and as support for the many worlds quantum interpretation (if you want more on this, let me know.)
More info on the "Many Worlds" interpretation of QM would be quite nice indeed.

Quote:
Now, as for the meat of your post, string theory. String theory does not attempt to explain entanglement effects, it is attempting to explain gravitational effects in a way that incorporates quantum effects, like uncertainty and entanglement. As such, it doesn't really postulate a mechanism for non-locality, just takes its existance as a given.
-Will
Thanks for the feedback.

It is interesting that string theory takes non-locality as a given. From what little I do know of string theory it not only tries to explain gravitational forces on a quantum level, but also goes a step beyond in doing so; identifying "primary constituents", or strings, as the "base block" of all particles. Given such then all "elementary particles" (quarks, quons, psions, etc) are no more than strings with variable vibrational patterns, no? This leads me to some (basic) questions regarding string theory:

* How does the vibrational pattern of a string effect the patterns of those around them? But with a non-locality view wouldnt ALL string's vibrational patterns contribute to what one could call a "Universal Harmonic"?

* I have read a little bit on the topics of "branes" and find it quite interesting. I fail to see how they are tied to string explicitly, however. Could someone help me out (links, etc)?

Thanks for the info, and for humoring my queries.

jCc
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Old 06-15-2005   #4 (permalink)
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Arrow Re: Bell's Proof and String Theory

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Originally Posted by jasonchild
* How does the vibrational pattern of a string effect the patterns of those around them? But with a non-locality view wouldnt ALL string's vibrational patterns contribute to what one could call a "Universal Harmonic"?

* I have read a little bit on the topics of "branes" and find it quite interesting. I fail to see how they are tied to string explicitly, however. Could someone help me out (links, etc)?

Thanks for the info, and for humoring my queries.

jCc
___I'm rather a novice on string theory & less so on non-locality, but I read Greene's book "Elegant Universe" by Brian Greene) a couple years back so I'll take a stab at a couple of your questions.
___In regard to how strings interact vibrationally, I gather it varies widely & that this is much of the high math in regard to topology & the super-symmetry of Calibi-Yau (sp) shapes. In general, they join up into different formations, as you said quarks etc., or they don't join up.
___In regard to the M branes, I seem to recall that mathematically treating the string as a rolled up sheet helps simplify or clarify some aspects of the general theory.
___Well, that's off the cuff & no doubt corrections follow as necessary. I do recommend Greene's book; I also have listened to him on late night talk radio a couple of times, taking calls & lecturing for 3 hours.
___I trust this is more help than harm.


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Last edited by Turtle; 06-15-2005 at 09:31 PM.. Reason: add book reference
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Old 06-15-2005   #5 (permalink)
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Re: Bell's Proof and String Theory

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Originally Posted by Turtle
___I'm rather a novice on string theory & less so on non-locality, but I read Greene's book "Elegant Universe" by Brian Greene) a couple years back so I'll take a stab at a couple of your questions.
___In regard to how strings interact vibrationally, I gather it varies widely & that this is much of the high math in regard to topology & the super-symmetry of Calibi-Yau (sp) shapes. In general, they join up into different formations, as you said quarks etc., or they don't join up.
___In regard to the M branes, I seem to recall that mathematically treating the string as a rolled up sheet helps simplify or clarify some aspects of the general theory.
___Well, that's off the cuff & no doubt corrections follow as necessary. I do recommend Greene's book; I also have listened to him on late night talk radio a couple of times, taking calls & lecturing for 3 hours.
___I trust this is more help than harm.
Thanks for the info. I have Greene's Fabric of the Cosmos, which really launched my interest in quantum mechanics, string theory and related topics. I will purchase The Elegant Universe on my next romp through the local bookstore (said romps are becomming more frequent these days...).

regards,

jCc


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Old 07-06-2005   #6 (permalink)
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Re: Bell's Proof and String Theory

Quote:
Originally Posted by Erasmus00
As I've stated in another thread, I'm not astrophysicist. But the idea of Bell's theorem is that there are no hidden variables underlying quantum mechanics. This means, as you said, reality is non-local. Also, it has since been suggested that the EPR paradox isn't actually a problem with relativity, because you cannot communicate information faster then light. Many worlders point to decoherence in hilbert space as both the mechanism for quantum's "spooky action at a distance" and as support for the many worlds quantum interpretation (if you want more on this, let me know.)
Now, as for the meat of your post, string theory. String theory does not attempt to explain entanglement effects, it is attempting to explain gravitational effects in a way that incorporates quantum effects, like uncertainty and entanglement. As such, it doesn't really postulate a mechanism for non-locality, just takes its existance as a given.
-Will
Erasamus00,
Excuse me for nit-picking here but is not Bell's theorem that there are no local hidden variables underlying qm? And that the reaility is that hidden variables must be nonlocal. Bell also made the finding that any QM model that was void in nonlocal force structures is an incomplete model.

Also, I am slightly confused somewhat by your statement,

"EPR paradox isn't actually a problem with relativity, because you cannot communicate information faster then light."

I understand that the EPR experiments (much after Einsteins EPR publication, i.e. Clausen et al) found "instantaneous" communication that must have occured nonlocally and it is for this reason that relativity is not a problem. In other words, because the "information" does not travel in space-time where relativity is confined [to] that there is no contradiction?

Reading your total response I assumed you incorporated "nonlocality" into your statement re EPR. Again, 'scuse the nitpicking.

Finally, Bell published a book of his papers on the subject, "Speakable and unspeakable in quantum mechanics". Even for the mathematical poor student, the book is a gold mine into understanding "nonlocality", at least is was for me. I always get siomething new everytime I read it.


BTW Erasmus00, are you familiar with Stern-Gerlach transition of spin-1 particles on the level seen in Feynman's, "Lectures on Physics" Vol. III, ch 5? If so I have a couple of matters i would like to discuss.
Geistkiesel.
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Old 07-06-2005   #7 (permalink)
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Re: Bell's Proof and String Theory

The topic is not simple at all. Here is a good source, Abner Shimony is very competent on the subject.

http://plato.stanford.edu/entries/bell-theorem/


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Old 07-06-2005   #8 (permalink)
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Re: Bell's Proof and String Theory

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Originally Posted by geistkiesel
I understand that the EPR experiments (much after Einsteins EPR publication, i.e. Clausen et al) found "instantaneous" communication that must have occured nonlocally and it is for this reason that relativity is not a problem. In other words, because the "information" does not travel in space-time where relativity is confined [to] that there is no contradiction?
You are right, there are no local hidden variables, according to Bell. In the EPR experiment, two particles become entangled, two people make measurements and they always agree. So one particle must "communicate" what state it was measured in faster than light. However, this can't actually be used to send information between two people. If I want to send my buddy a signal, I'd need some way of influencing what my measurement outcome would be (say spin up, or spin down). But I can't influence the particle and still keep the two entangled. Hence, no information can be transfered faster than light.

Quote:
Originally Posted by geistkiesel
BTW Erasmus00, are you familiar with Stern-Gerlach transition of spin-1 particles on the level seen in Feynman's, "Lectures on Physics" Vol. III, ch 5? If so I have a couple of matters i would like to discuss.
Geistkiesel.[/indent]
I'm not familiar with the Feynman specifically, but I have an understanding of the Stern Gerlach experiment, and particle spin at an above introductory level. I'm sure there are others here who do as well.
-Will
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Old 07-06-2005   #9 (permalink)
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Re: Bell's Proof and String Theory

Bell's Inequalty and the Einstein-Podolsky-Rosen paradox disprove nothing. Wavefunction collapse into an observable is empirically instantaneous across arbitrarily large distances and volumes. However, it cannot transmit information - not even Morse code. Remotely collected a data is utterly random until compared with the sender's results, and that can comparison can proceed no faster than lightspeed. Both Relativity and quantum mechanics emerge intact and unaltered.

M-theory is 100% non-predictive. It has no accessible experimental falsification.


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Old 07-06-2005   #10 (permalink)
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Re: Bell's Proof and String Theory

Quote:
Originally Posted by Erasmus00
You are right, there are no local hidden variables, according to Bell. In the EPR experiment, two particles become entangled, two people make measurements and they always agree. So one particle must "communicate" what state it was measured in faster than light. However, this can't actually be used to send information between two people. If I want to send my buddy a signal, I'd need some way of influencing what my measurement outcome would be (say spin up, or spin down). But I can't influence the particle and still keep the two entangled. Hence, no information can be transfered faster than light. .
-Will
Erasmus00,
Theoretically I think that information can be sent "nonlocally". The problem, at least how I see it, is in delivering the particle to the distant receiver. The particle that is being affected distantly can travel only at (approx.) the speed of light, but the particle can be affected instantaneously from a distance. If batches of entangled particles could be delivered distantly and were the sender able to maintain a storehouse of the distant partilces twin, then the instantaneous transfer of information could have some practical use.
The "batches" of entanled particles does leave a substantial technical problem to be solved however. This would require an earthling travelling at a distance to carry a "batch" of entangled twins along with her space ship. Boiling things down, how would one create a batch of entangled twins as well as the necessary storehouse without subjecting the particles to a "measurement" until a message was constructed?
Geistkiesel
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