Nonlocality from Newton to Maxwell

This story is a supplement to the story "Was Einstein Wrong?: A Quantum Threat to Special Relativity"















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Also: Maxwell discovered that fields have a rich dynamical life of their own. This discovery came about as Maxwell tried to write down generalizable equations, based on the piles of empirical data generated by Faraday, for how fields changed over time. Faraday's data had led Maxwell into a paradox, because depending on how field values were calculated, two different and contradictory answers could be generated.

And here was the beautiful turn. Maxwell tried to look for a minimal modification of his theory that would resolve this paradox, and what he arrived at was the discovery that there can be interestingly evolving electric and magnetic fields even in the complete absence of charged particles—so called charge-free solutions. (This discovery must have felt like discovering, say, that there can be completely disembodied toothaches.) The particleless fields (it turned out) could push one another around, and their subsequent chain of oscillations would propagate through space at a particular velocity, a velocity that just happened to correspond to the then very recently measured speed of light.

This "coincidence" was astonishing. Light was something that physicists had imagined they would get around to sometime in the relatively distant future, it was something understood virtually not at all. But then, suddenly, they not only knew what light was, but the necessity of its existence had been deduced as a matter of logic. A marvel.

And here was the best news: Once Maxwell's equations were modified, you could ask a question about the forces between two charged particles a certain distance apart and you could find out if the attraction between them acted locally. You just had to ask yourself what would happen if you moved one of the particles…at what rate would that lead to the other particle being affected by a different field? It turned out that the spherical shell of readjustments expanded outward at the speed of light.

So electromagnetic (and, for that matter, gravitational) attraction was understood to be a completely local phenomenon. (Physics seemed, suddenly, very nearly over; the euphoric sense was that all that remained to be done was the working out of a few details.) The 300-year thorn of nonlocality simply disappeared, and the cost of all this advancement was just that the fundamental ontology—the furniture of the universe—essentially doubled. There were now material bodies, and fields. And both were real. Maxwell's triumph meant a spectacular validation of our deep intuition of locality.

And it also prefigured locality's falling apart in the work of John S. Bell. It is understandable that a problem with locality was the last thing Niels Bohr or Albert Einstein would have suspected. Since the beginning of physics nonlocality has been the branch tapping at the windowpane, waiting to be acknowledged—a patient but enduring ghost, still waiting to be let in.



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  1. 1. crimlawfed@bellsouth.net 08:46 PM 2/20/09

    I still don't understand how magnetic and gravitational forces are "local." When I hit a based ball I am touching one object against another. That's clearly local. But whether I am dealing with entangled particles or an electron and a proton, whatever forces them to change their spin, in the former or move toward each other, in the latter, it is not any sort of contact. To say that one is local because we can detect or measure a field and one is not because we can't see any connection between the two isn't very helpful to me. Or to put it another way, if physicists aren't perplexed by spooky action close by I don't understand why they are so agitated by spooky action at a distance.

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  2. 2. Woops72 in reply to crimlawfed@bellsouth.net 07:31 PM 2/21/09

    The term "local" is used to characterize causally connected events, meaning they are close enough together in space and time to have a cause and effect relationship that happens no faster than it would take light to travel between them. Hitting a ball with a bat is actually an electromagnetic interaction between atoms in the bat and atoms in the ball. At the microscopic level the term "contact" loses meaning. The electric and magnetic fields around atoms interact with each others' charges to deflect one from another when they come close.

    The above is not considered "spooky" since it complies with standard physics which asserts no influence can propagate faster then the speed of light. The Bell's Theorem experiments show that for quantum entangled particles, something seems to be passing between particles faster than the speed of light - even instantaneously. That's spooky.

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  3. 3. Witter007 06:21 PM 2/23/09

    I have always "felt" that everything big and small is all connected. Everything is actually a solid to a degree. I like to think that our perception of the three dementions covers up the reality that there is no distance from point A to point B. It's the same.

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  4. 4. Ron Renaud 09:10 AM 2/24/09

    I have difficulty in understanding why entanglement is considered non-local. If two particules are entangled in such a manner that a property A is complimentary between the two, isn't the setup of entanglement the "local" connection? Thus the process of entanglement could confer the requirement to evolve in a complimentary manner. Thus it does not matter what value the entangled property has for each particle (it is essentially unknown until someone chooses take a measurement on one of them) and I preume Quantum Mechanics would indicate complete ambiguity until then. At this point we know the value of the other instantly, however there was no need for the one to communicate this to the other, and therefore no violation of special relativity seems in order. Now I do not know how stable entanglement is, however I would have assumed it would be easily broken. If some experiment could be performed on one of the entangled particles that forced a change in the property that was entangled without breaking it and this nonetheless forced the other particle to change, that would be something else. Have experiments of this nature been performed?

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  5. 5. Woops72 07:44 PM 2/25/09

    Ron  you ask good questions and have good intuition about the quantum world. Your main conceptual misunderstanding is that members of the entangled pair, at creation, do not have definite states, and wont until at least one is measured. While collectively they must conserve linear and angular momentum, that can be satisfied by an infinity of different states. For example, A could spin up and B could spin down, or A could spin at a small angle relative to up and B would necessarily have to spin with a small angle relative to down, ad infinitum. The constraint is that their spin (vector) sum must equal zero if they were created from a zero spin state.

    So if you let them propagate away from each other for, say a year, and then arrange to measure A with some apparatus that forces it into a 45 degree angle spin state then its partner, now a lightyear away, will instantaneously collapse to a an exactly opposing spin state. Had you instead chosen to measure A with an apparatus forcing it into a spin up state, its partner would instantaneously collapse (from the ambiguous entangled state) to a definite spin down state. This influence propagates instantaneously over a light year  this is why it is called nonlocal influence.

    You are very correct in characterizing the entangled state as fragile. Any unintentional measurement (noise) made on either particle will collapse the states and unentangle them - both will be in definite states. There is a lot of research underway to learn how to avoid this issue - called decoherence.

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  6. 6. blindwatchman 11:02 AM 2/27/09

    I am confused about "non-communication" regarding quantum teleportation. With being able to see whether the state has been determined, how is it impossible to transmit information in such a fashion? For example, say I have 4 particles entangled with 4 corresponding ones some incredible distance apart. In preparation, someone on the other side detects the states of some of the particles, say 1, 3, and 4. Then when I go to "read" the particles, I just check which ones have been determined, which would be yes, no, yes, yes (1011 = 11 in binary) thus transmitting data.

    I know my understanding of the measurement process is horribly lacking, but it seems that if we can know that transmission occurs, that knowledge itself is a viable medium for information.

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  7. 7. Woops72 10:55 PM 2/27/09

    Blindwatchman: The problem is that you can't just "check" whether particles' partners have been read or not at the other end in the sense I think you mean. The only thing you can do at the far end is perform measurements on the particles and see what state allowed by your measurment apparatus the particles take. To see the effects of entanglement you have to compare your results with those at the other end after a statistically significant number of trials and then see if there is an unusually high correlation. This, of course, dashes the idea of using it as an FTL communication scheme.

    You are right to point at the measurement process as the non-intuitive aspect of the problem. At the far end you need to make a choice about, say, the angle to set your apparatus at to test the unknown state of the partner. Once set the particle has no choice but to collapse to an eigenstate of the apparatus, regardless of what state is distant partner was meaured with. If A was forced into a +-45 degree state and B is measured with an apparatus set for up/down, you have a 50:50 chance of B collapsing to an up or down state. This is where statistics come in, and where use to communicate is frustrated.

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  8. 8. LJohnson321 02:28 PM 2/28/09

    Thinking of fields as "things" which can have an existence separate from particles is a fascinating concept. But why do fields have such different properties? Maxwell united electricity and magnetism, but electric fields and magnetic fields have very different properties. Why can magnetic fields be wound up as if they are organized in lines of force? Why can the lines of force be broken and reconnected as if they are real things? Yet, electric fields and gravitattional fields seem to have no such properties.

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  9. 9. Woops72 in reply to LJohnson321 07:26 PM 2/28/09

    Electric and gravitational fields (can) come from so-called monopoles of charge and mass, respectively. A particle like an electron has both charge and mass and is the source of both an electric field and a (small) gravitational field. It would take the existance of the hypothesized magnetic monopole to perform the same service for a magnetic field. No one has yet, unambiguously seen a magnetic monopole, though many have searched for them. In some unified field theories the magnetic monopole is thought to exist, but it is very massive, unstable and decays quickly.

    Magetic fields, therefore, are always closed lines of force, since magnetic monopoles don't seem to exist in normal conditions. They do not start or stop on any particles. While electric fields can be generated by electric charges (monopoles) they may also be created as closed lines of force, like magnetic fields, according to Faraday's law (one of Maxwell's equations) in the vicinity of a changing magnetic field. Another of Maxwell's equations (Ampere's law) says that a changing electric field (E) will generate a magnetic field (B). If you connect these two ideas you have sense of how light (electromagntic radiation) propages: E generating B regenerating E, etc.

    Gravitational fields can also be generated as closed loops of force through time changing mass-energy distributions, like a spinning neutron star. Gravity waves are such a phenomenon, in which the field has been liberated from the mass orginally generating it.

    All of the above are classical physics concepts. Quantum mechanically, fields are also particles. The quantum of electromagnetic force (field) that mediates interactions between charged particles is the (virtual) photon (particle of light). So in a sense fields and particles are just two sides of the same coin.

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  10. 10. Ron Renaud. 05:49 PM 3/2/09

    Thank you for your effort in replying to our questions.

    I am puzzled in your reply to my original comment as to the difference between "unknown" and not having a definite state. The latter sounds like a mathematical result implying the circumstances do not confer any obvious choice of value, only the fact that the two entangled particles will progress in a complimentary manner. Yet unknown (until measured) would seem to be synonymous in this context.

    Given that it is not clear how we could at present conduct experiments at light year distances, I am wondering how scientists have been able to demonstrate that the property of the other entangled particle does in fact
    change at the same time as the first is forced into a specific state. I tried a simple thought experiment of my own and I can see that even if it does change at the same time, we would not be able to take advantage of that fact to communicate information at a speed faster than light, so in that regard it does not cause issues with special relativity (as had been clarified by John von Neumann and stated in the original article).

    I assume these quantum computations on the evolution of the entangled state are being done with a form of quantum mechanics that is compliant with special relativitiy (Silly question really but I do need to confirm this).

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  11. 11. eco-steve 04:18 PM 3/3/09

    Einstein said that nothing could exceed the speed of light, gravity included. So how is it that the early universe expanded faster than that speed limit? It has also been said that the universe did not exceed that limit, but only space-time did, which must surely be a field of some form or another, as it eventually created the cosmos as we can detect it. The limits of our perception would appear to defy rational logic.

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  12. 12. Woops72 07:30 PM 3/4/09

    Ron - regarding quantum states, I would agree "unknown" and "indefinite" are pretty much the same thing in this context.

    Saying measurements are lightyears apart is dramatic but not necessary to demonstrate the effect. Actual experiments have been done many kilometers apart. For example, if A and B are 3km apart, any signal propagating at the speed of light would take 10 microseconds to traverse this distance. Using atomic clocks experiments can be synchronized and measurements can be made much faster and with greater precision than 10 microseconds, so A and B can perform measurements independently and after the fact compare results. The statistics demonstrate that Bs result was influenced by As settings faster than a signal communicating As setting could have been sent to B. The statistics are often summarized in something called Bells Inequality condition.

    Recently an experiment was done with an 18km separation, removing many of the so-called loopholes in previous experiments. Interesting read at http://www.physorg.com/news132830327.html

    On your last point you are touching on a very tricky aspect of QM. While the entangled state as it evolves can be described as a wavefunction that obeys the appropriate QM equation for the kind of particles created (Schroedinger, Dirac, QED - all consistent with Special Relativity), the measurement process itself is not described by QM. It is referred to as collapse of the wavefunction into a definite state of the measurement apparatus, but the collapse process itself has no analytic equation to describe it, as far as I know. The process is treated as an instantaneous one triggered by the action of an observer, according to the Copenhagen Interpretation of quantum theory. There are other schools of thought, like Bohms guide wave theory, but the mystery of the collapse is at the heart of the debate about non-local influences and violations of Special Relativity.

    Hope this helps.

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  13. 13. OzmoSA 07:29 AM 3/11/09

    The first thing that came to mind when reading A Quantum Threat to Special Relativity (March 2009) was Rupert Sheldrake's research on dog behaviour (see Dogs That Know When Their Owners Are Coming Home--And Other Unexplained Powers of Animals). Sheldrake's research appears quite sound methodologically but completely lacking a physical explanation, and maybe this is it. Dogs have somehow tapped into quantum nonlocality out of love of people--or dog biscuits. Perhaps what have been traditionally considered supernatural phenomena are natural after all, if nonlocality is real.


    David Murchie

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  14. 14. OzmoSA 07:29 AM 3/11/09

    The first thing that came to mind when reading A Quantum Threat to Special Relativity (March 2009) was Rupert Sheldrake's research on dog behaviour (see Dogs That Know When Their Owners Are Coming Home--And Other Unexplained Powers of Animals). Sheldrake's research appears quite sound methodologically but completely lacking a physical explanation, and maybe this is it. Dogs have somehow tapped into quantum nonlocality out of love of people--or dog biscuits. Perhaps what have been traditionally considered supernatural phenomena are natural after all, if nonlocality is real.


    David Murchie

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  15. 15. rmcknightmd 11:13 PM 3/24/09

    " Entanglement violates some of our deepest intuitions about the world.Entanglement may undermine Einstein's special theory of relativity. "
    Socrates warns against "Sophistry, words losing meaning". Nonlocality/entanglement, does not undermine relativity because entanglement is a special relation-ship/relative-ity. - a sharing of information by energy particles.
    Entanglement, does not violate our intuitions about the world, it enhances them!. "The really valuable factor is intuition. There is only the way of intuition, which is helped by a feeling for the order lying behind the appearance." Einstein

    Intuition is a vital part of mental health:I was told in medical school that in dire situations I may have to rely on intuition - valuable advice!

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  16. 16. rmcknightmd 11:15 PM 3/24/09

    " Entanglement violates some of our deepest intuitions about the world.Entanglement may undermine Einstein's special theory of relativity. "

    Socrates warns against "Sophistry, words losing meaning". Nonlocality/entanglement, does not undermine relativity because entanglement is a special relation-ship/relative-ity. - a sharing of information by energy particles.
    Entanglement, does not violate our intuitions about the world, it enhances them!. "The really valuable factor is intuition. There is only the way of intuition, which is helped by a feeling for the order lying behind the appearance." Einstein

    Intuition is a vital part of mental health:I was told in medical school that in dire situations I may have to rely on intuition - valuable advice!

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  17. 17. abk-comments 11:52 AM 4/21/09

    Hello Woops72,

    Great questions, three more:

    Q1: Please confirm that QM is deterministic in the sense that given a specific experiment, the outcome is consistent, repeatable and it does not depend of the peculiarities of the observer (race, age, religious belief ...) conducting the experiment. In other words, "the pot does not take longer to boil when observed". (Some writers insinuate otherwise)

    Q2: experiments to create non-locality are not trivial to do. Have we found phenomena where non-locality occurs naturally?

    Q3: it is nice to know that we can use intuition to further physics, that it is not just limited to the ones working with the math equations. Can geometry be "pinched" in cases of non-local events, so that the distance function is just an "optical illusion"?

    Thanks!

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  18. 18. Ron Renaud. in reply to Woops72 04:17 PM 11/18/12

    Assuming that I can establish by some means a set of entangled objects at some arbitrary distance apart, and I have the means to force the set at one end into a series of states (which I am told you can do) that corresponds to a message such as 1001. Then the set at the other end would instantly become the bit inversed message 0110. It would seem that the only sacrifice that is necessary for this to be FTL communication, is that both sender and receiver must agree on a time at which this transformation will be made. As long as the receiver starts taking his measurements at the right time, that time can be arbitrarily close to the agreed upon time, making the message FTL.

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