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| Tags: barrier, entanglement, lightspeed, quantum, violation |
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"bernard.chaverondier" wrote in message ... "Aidan Smoker" a écrit dans le message de ... I found this discussion on Fermilab's web pages about the quantum action-at-a-distance phenomena. Even as a scientist I find it an unsatisfying explanation or resolution of the EPR paradox. Actually, the issue is that one. Is there any possibility to bias quantum measurement statistics ? (see Arnold Neumaeir answer in the thread "quantum state diffusion question" http://minilien.com/?UlOUpjyhZ4 on sci.physics.research) In any naturally correlated quantum entangled system it would be a very difficult proposition to apply some type of bias in such a way that the reciever of the information being sent could be able to discern a pattern from normal noise. Think about what you are trying to do practically: control a stochastic process. The idea begins to make sense only when you find a way to correlate two non-interacting spacelike seperated systems, however. In such a artifically entangled system, you do not need to be able to modify stochastic processes, but can introduce dimensions of control that a reciever can decode, such as a time varying voltage. * If the answer is no, then it can be proven (thanks to the no_communication theorem) that the EPR correlation cannot be used to send information faster than light (see http://perso.wanadoo.fr/lebigbang/no-communication.htm ). In such a case, the principle of relativity is preserved because then EPR correlations don't enable to break the symmetry between two spacelike separated quantum measurements of EPR correlated parts of a system (ie, there is no possibility to ascribe a role of cause to the quantum measurement of a part A of a system and a role of effect to a quantum measurement outcome obtained on an EPR correlated part B of this system) * If the answer is yes, then it might be possible (from a principle point of view) to send a self correlation signal thanks to a strong control of the quantum state of one polarizer of the Alain Aspect EPR experiment for instance (see http://perso.wanadoo.fr/lebigbang/epr.htm and thread Lorentz Ether Theory and FTL Paradoxes http://minilien.com/?ECZxLyrKX7 ) The answer can still be yes and relativity can be preserved because the information linking the two systems is not energetic. Relativity limits energy, but it is only a convienent supposition that information must also be similarly limited. As far as the universe is concerned, nothing illegal has happened, only now the reciever is producing "noise" you just so happen to be able to make use of... you can have your cake and eat it too, without invoking an 'Ether Theory' to explain why the two seperated systems become self correlated. .. Bernard Chaverondier http://perso.wanadoo.fr/lebigbang Compatibility of Alain Aspect experiment interpretation as an action at a distance with a formulation of relativist invariance (of phenomena that actually satisfy this invariance) in the framework of Aristotle space-time. Greysky www.allocations.cc |
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"Greysky" a écrit dans le message de
... "bernard.chaverondier" wrote in message ... Actually, the issue is that one. Is there any possibility to bias quantum measurement statistics ? (see Arnold Neumaeir answer in the thread "quantum state diffusion question" http://minilien.com/?UlOUpjyhZ4 on sci.physics.research) Greysky In any naturally correlated quantum entangled system it would be a very difficult proposition to apply some type of bias in such a way that the reciever of the information being sent could be able to discern a pattern from normal noise. Chaverondier Yes. I completely agree with this mayor technical problem. The possibility to send something else than noise depends on the coherence time and length scales of the (possible ?) contextual hidden variables (ie the quantum state of the measuring apparatus and its environmement) which give rise to a unitary, deterministic, and reversible evolution of the quantum whole of the observed system, the measuring apparatus and its environment. Greysky Think about what you are trying to do practically: control a stochastic process. Chaverondier Yes. But, if you settle the environment interacting with a quntum measuring apparatus (and this apparatus itself) in a drastically controlled quantum state (for instance a Bose Einstein Condensate quantum state) and exert a very strong control over the conditions of the experiment is there really absolutely no possibility to bias quantum statistics of quantum measurements ? Greysky In such a artifically entangled system, you do not need to be able to modify stochastic processes, but can introduce dimensions of control that a reciever can decode, such as a time varying voltage. Chaverondier I dont understand the experiment you are suggesting. Greysky The answer can still be yes and relativity can be preserved Chaverondier Yes to what ? To the possibility to bias quantum polarization measurement statistics of the pair of EPR correlated photons by a drastic control exerted only on one of the polarizers of Alain Aspect experiment ? Greysky because the information linking the two systems is not energetic. Relativity limits energy, but it is only a convenient supposition that information must also be similarly limited. As far as the universe is concerned, nothing illegal has happened, Chaverondier I don't agree. If you assume that a device is up to send signals at velocity C c in an inertial frame R0 and assume nevertheless the principle of relativity, then you are contrived to assume that the same device, located in an other frame R2, would be up to send back a signal at this same velocity C. So, let us choose inertial frames R0, R1 and R2 such that * velocity of R1 with regard to R0 = v * velocity of R2 with regard to R1 = v * vC/c^2 1 We can * transmit immediatly at time t0 = t1 =0 a signal from A1 at rest in R1 to A0, located at the same place but at rest in R0, * send a signal at speed C from A0 to B0 (at rest in R0) at speed C c and receive this signal at B1 at rest in R1 located at the same place than B0 at time t0=(A0B0)/C in R0 and t1 in R1 such that t1 = (t0 - vx0/c^2)/(1-v^2/c^2)^(1/2), ie t1 = (x0/C)(1-vC/c^2)/(1-v^2/c^2)^(1/2) 0 (where x0 denotes the distance A0B0 measured in R0) * transmit immediately this signal from B1 at rest in R1 to B2 at rest in R2 located at the same place than B1 at time t1, * send back a signal at speed C in R2, from B2 to A2 at rest in R2, so that observer located at A1 in R1 can receive the answer to its message at time 2t1 0 and so can decide not to send it. This provides the looked for contradiction. Hence, FTL signalling is not compatible with the principle of relativity of motion. The possibility of signals propagating at speeds c and signals propagating at speed Cc, both independant on the motion of their sources, conflicts with the hypothesis of a principle of relativity of motion applying to any phenomenon without any exception. Greysky only now the reciever is producing "noise" you just so happen to be able to make use of... you can have your cake and eat it too, without invoking an 'Ether Theory' to explain why the two seperated systems become self correlated. Chaverondier Ok. If you assume quantum indeterminacy to be fundamental, then you can prove that you can send only noise. If you have no control on the information you send, you cannot dedice which is the emitter and which is the reciever of the noise, so that the symmetry of the EPR correlation is preserved. Hence the principle of relativity of motion is preserved too. Bernard Chaverondier http://perso.wanadoo.fr/lebigbang Compatibility of Alain Aspect experiment interpretation as an action at a distance with a formulation of relativist invariance (of phenomena that actually satisfy this invariance) in the framework of Aristotle space-time. |
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"bernard.chaverondier" wrote in message ... "Greysky" a écrit dans le message de ... "bernard.chaverondier" wrote in message ... Actually, the issue is that one. Is there any possibility to bias quantum measurement statistics ? (see Arnold Neumaeir answer in the thread "quantum state diffusion question" http://minilien.com/?UlOUpjyhZ4 on sci.physics.research) Greysky In any naturally correlated quantum entangled system it would be a very difficult proposition to apply some type of bias in such a way that the reciever of the information being sent could be able to discern a pattern from normal noise. Chaverondier Yes. I completely agree with this mayor technical problem. The possibility to send something else than noise depends on the coherence time and length scales of the (possible ?) contextual hidden variables (ie the quantum state of the measuring apparatus and its environmement) which give rise to a unitary, deterministic, and reversible evolution of the quantum whole of the observed system, the measuring apparatus and its environment. Greysky Think about what you are trying to do practically: control a stochastic process. Chaverondier Yes. But, if you settle the environment interacting with a quntum measuring apparatus (and this apparatus itself) in a drastically controlled quantum state (for instance a Bose Einstein Condensate quantum state) and exert a very strong control over the conditions of the experiment is there really absolutely no possibility to bias quantum statistics of quantum measurements ? It's an interesting thought. The contextual hidden variable in such a example is how the two highly controlled quantum states are interacting with each other. Also, how you will be able to send information distinguishable from noise through such a channel without collapsing your connection in the process is also going to be a challange. Greysky In such a artifically entangled system, you do not need to be able to modify stochastic processes, but can introduce dimensions of control that a reciever can decode, such as a time varying voltage. Chaverondier I dont understand the experiment you are suggesting. I am suggesting artificial entanglement, as opposed to 'natural' entanglement, where there are no previous histories at all between the transmission system and the reciever system because in this case the hidden variable is one you introduce into the system and can hence control, for example the application of a varying voltage, which can easily be detected and decoded by an automated logic block set up to precisely look for changes in such a parameter. Conceptually it simplifies what you are ultimatly wanting - a process to send meaningful information through a quantum connection superluminally. Greysky The answer can still be yes and relativity can be preserved Chaverondier Yes to what ? To the possibility to bias quantum polarization measurement statistics of the pair of EPR correlated photons by a drastic control exerted only on one of the polarizers of Alain Aspect experiment ? Well, perhaps I am reaching a bit. I want to think that relativity can still be preserved overall - a FTL radio will not bring down the whole house with a crash. Perhaps a gentle re-think about how information relates to relativistic systems in certain very limited and artifical (contrived) situations. In this regard, I see Aspect's experiment as a signpost directing us to more subtle forms of information manipulation...Aspects experiment covers only a single entangled system - I am convinced the answer lies in the ability of connecting a multitude of such isolated systems dynamically. Quantum mechanics never is a good theory for only a single system. Involving many such systems can act as a amplifier, and will let you see the results of your control operator as it acts on the statistics of the many systems of particles you are applying it to. Greysky because the information linking the two systems is not energetic. Relativity limits energy, but it is only a convenient supposition that information must also be similarly limited. As far as the universe is concerned, nothing illegal has happened, Chaverondier I don't agree. If you assume that a device is up to send signals at velocity C c in an inertial frame R0 and assume nevertheless the principle of relativity, then you are contrived to assume that the same device, located in an other frame R2, would be up to send back a signal at this same velocity C. So, let us choose inertial frames R0, R1 and R2 such that * velocity of R1 with regard to R0 = v * velocity of R2 with regard to R1 = v * vC/c^2 1 We can * transmit immediatly at time t0 = t1 =0 a signal from A1 at rest in R1 to A0, located at the same place but at rest in R0, * send a signal at speed C from A0 to B0 (at rest in R0) at speed C c and receive this signal at B1 at rest in R1 located at the same place than B0 at time t0=(A0B0)/C in R0 and t1 in R1 such that t1 = (t0 - vx0/c^2)/(1-v^2/c^2)^(1/2), ie t1 = (x0/C)(1-vC/c^2)/(1-v^2/c^2)^(1/2) 0 (where x0 denotes the distance A0B0 measured in R0) * transmit immediately this signal from B1 at rest in R1 to B2 at rest in R2 located at the same place than B1 at time t1, * send back a signal at speed C in R2, from B2 to A2 at rest in R2, so that observer located at A1 in R1 can receive the answer to its message at time 2t1 0 and so can decide not to send it. This provides the looked for contradiction. Yes, this is the biggie. What becomes of causality if you can hear the signal before it is sent? I suppose there can be explanations, such as invoking Many Worlds - you are hearing the leakage of another freshly split off universe, for example. But this is messy. I do think that we can test for temporal order in an experiment, but to my knowledge this hasn't been done. The closest we have come to demonstrating causality doesn't break down is with the caesium gas / laser experiments Lijun Wang performed at the NEC Research Institute in 2000, or measuring tunneling speed, for some examples. Wang I think, got 300C. But even there its messy to describe phase and group velocities through a dispersive medium. And remains so today...I am not convinced temporal reversal takes place. This may be a solution to the math of relativity, but the math is not faithful to observational reality. This may be one of the tiny adjustments that may need to be made that I spoke of earlier ![]() Hence, FTL signalling is not compatible with the principle of relativity of motion. The possibility of signals propagating at speeds c and signals propagating at speed Cc, both independant on the motion of their sources, conflicts with the hypothesis of a principle of relativity of motion applying to any phenomenon without any exception. Greysky only now the reciever is producing "noise" you just so happen to be able to make use of... you can have your cake and eat it too, without invoking an 'Ether Theory' to explain why the two seperated systems become self correlated. Chaverondier Ok. If you assume quantum indeterminacy to be fundamental, then you can prove that you can send only noise. If you have no control on the information you send, you cannot dedice which is the emitter and which is the reciever of the noise, so that the symmetry of the EPR correlation is preserved. Hence the principle of relativity of motion is preserved too. As I said, it really does depend on what dimensions of control you are relying on to perform your experiment. It also depends on how you simplify (restrain) everything else - so you can hear the noise you want to as opposed to just hearing stochastic chatter. Greysky www.allocations.cc |
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"Greysky" a écrit dans le message de
om... Chaverondier Actually, the issue is that one. Is there any possibility to bias quantum measurement statistics ? (see Arnold Neumaeir answer in the thread "quantum state diffusion question" http://minilien.com/?UlOUpjyhZ4 on sci.physics.research) Greysky Think about what you are trying to do practically : control a stochastic process. Chaverondier Yes. But, if you settle the environment interacting with a quantum measuring apparatus (and this apparatus itself) in a drastically controlled quantum state (for instance a Bose Einstein Condensate quantum state) and exert a very strong control over the conditions of the experiment is there really absolutely no possibility to bias quantum statistics of quantum measurements ? Greysky It's an interesting thought. The contextual hidden variable in such a example is how the two highly controlled quantum states are interacting with each other. Also, how you will be able to send information distinguishable from noise through such a channel without collapsing your connection in the process is also going to be a challange. Chaverondier Yes. A drastic one. Greysky I am suggesting artificial entanglement, as opposed to 'natural' entanglement, where there are no previous histories at all between the transmission system and the reciever system because in this case the hidden variable is one you introduce into the system and can hence control, for example the application of a varying voltage, which can easily be detected and decoded by an automated logic block set up to precisely look for changes in such a parameter. Chaverondier I don't see the link of your suggestion with a possible FTL signalling. Greysky Relativity limits energy, but it is only a convenient supposition that information must also be similarly limited. As far as the universe is concerned, nothing illegal has happened, Chaverondier I don't agree. If you assume that a device is up to send signals at velocity C c in an inertial frame R0 and assume nevertheless the principle of relativity, then you get a conflict with the principle of causality. Greysky Yes, this is the biggie. What becomes of causality if you can hear the signal before it is sent? Chaverondier You don't need to drop causality if you drop the principle of relativity of motion and assume the relativist invariance to apply only to phenomena that really satisfy this invariance. See http://perso.wanadoo.fr/lebigbang for an interpretation of Alain Aspect experiment as an action at a distance compatible with causality and with a formulation of relativist invariance in the framework of Aristotle space-time. Greysky I suppose there can be explanations, such as invoking Many Worlds - you are hearing the leakage of another freshly split off universe, for example. But this is messy. I do think that we can test for temporal order in an experiment, but to my knowledge this hasn't been done. Chaverondier This has been done in the "multisimultaneity" test at the university of Geneva by professor Gisin. The results where not that expected because it is not possible to assume relativity of simultaneity _and_ a causal interpretation of quantum collapse. These two interpretations are not compatible (and I rather believe the second one). Signals propagating at speed c and signals propagating at speed Cc both independant of their sources conflict with the principle of relativity of motion, not with causality. They need only to assume an objective quantum causal ordering (and an objective quantum collapse) supporting an objective (ie observer's motion independant) time ordering. Bernard Chaveorndier http://perso.wanadoo.fr/lebigbang/epr.htm Quantum determinism or relativist locality |
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"bernard.chaverondier" wrote in message ... "Greysky" a écrit dans le message de om... Chaverondier Actually, the issue is that one. Is there any possibility to bias quantum measurement statistics ? (see Arnold Neumaeir answer in the thread "quantum state diffusion question" http://minilien.com/?UlOUpjyhZ4 on sci.physics.research) Greysky Think about what you are trying to do practically : control a stochastic process. Chaverondier Yes. But, if you settle the environment interacting with a quantum measuring apparatus (and this apparatus itself) in a drastically controlled quantum state (for instance a Bose Einstein Condensate quantum state) and exert a very strong control over the conditions of the experiment is there really absolutely no possibility to bias quantum statistics of quantum measurements ? Greysky It's an interesting thought. The contextual hidden variable in such a example is how the two highly controlled quantum states are interacting with each other. Also, how you will be able to send information distinguishable from noise through such a channel without collapsing your connection in the process is also going to be a challange. Chaverondier Yes. A drastic one. Greysky I am suggesting artificial entanglement, as opposed to 'natural' entanglement, where there are no previous histories at all between the transmission system and the reciever system because in this case the hidden variable is one you introduce into the system and can hence control, for example the application of a varying voltage, which can easily be detected and decoded by an automated logic block set up to precisely look for changes in such a parameter. Chaverondier I don't see the link of your suggestion with a possible FTL signalling. Hmm... let's see if I can clarify this a bit. Suppose you have 2 systems of particles which lie outside of each others light cones. They also have some particular variable that you can measure, such as magnetic moment, charge, etc. A nice example can be two clouds of interstellar charged particles lying light years from each other (Cloud A and Cloud B) to provide both something to measure and a system of many particles to act on- you want a system of many particles to amplify the phenomena you are trying to see - a system of only two charged particles is much, much to small to yield anything useful. Also, suppose the particular variable, lets say net charge, is dynamically variable over time. If you measure a precise value for charge in cloud A, what is the expectation that your friend positioned at cloud B will measure exactly the same value at his cloud at exactly the same absolute time (remember these clouds are outside each others' light cones)? It may be very small, but it is not zero. (You may verify this by later evaluating the measurement data in a bar over a cold beer with your friend). Suppose you, along with your friend, take another measurement. What is the probabiity that the measured values will again be exactly the same? The probability is smaller, but again it is not zero. Repeat this as many times as you like. The probability that the measurements of both clouds being the same may approach the reciprocal of infinity, but it still never zero. Also, since the cloud is dynamically changing its charge, your measurements do not interact with each other. One measurement or a million measurements, it doesn't matter. One conclusion you may reach is that there is a 'hidden' variable that is really linking the two systems of many particles, which accounts for the remarkable connectedness. But this is not the only conclusion. It could be just 'chance'. Infinitly small chance, but nevertheless valid. Really it doesn't matter either way. Next, you realize that since charge is something you can control, what would happen if you varied the charge of your cloud A whilest your friend measured his cloud B charge? The statistics of your experiment have not changed, even though you are now manipulating a variable directly and not just relying on a stochasic process to dynamically alter the variable. Again, you do the experiment and your friend measures the exact charge value in his cloud as you placed in yours. Even though you have no proof there is a hidden variable involved in the process at all, and have no way to prove there is one, your friend records the message you imprinted on your cloud by measureing the charge in his cloud. Is both cloud A and cloud B part of one dynamic quantum system? Ar there hidden variables you are now able to manipulate? Is this communication? Is relativity now destroyed? I guess you will have to answer this question using whatever bias you wish to apply to it. IMO it is communication, but there is no real way to ever know if it occured because the two clouds charges' were somehow linked, or if you and your friend just were incredibly lucky in that random chance made it only seem as if a message were transmitted superluminally. This conclusion would remain even if you can repeat the experiment successfully with other messages of any arbitrary length. Greysky Relativity limits energy, but it is only a convenient supposition that information must also be similarly limited. As far as the universe is concerned, nothing illegal has happened, Chaverondier I don't agree. If you assume that a device is up to send signals at velocity C c in an inertial frame R0 and assume nevertheless the principle of relativity, then you get a conflict with the principle of causality. In the above example, both clouds of charged particles are well behaved according to relativity. Even when you are using them to transmit your laundry list to your wife across lightyears of spacetime. The huge point of confusion in my example can be traced to how we define the word 'information' and how it relates to the rest of the material universe. In certain cases, causality may not even be affected by such a set-up. Greysky Yes, this is the biggie. What becomes of causality if you can hear the signal before it is sent? Chaverondier You don't need to drop causality if you drop the principle of relativity of motion and assume the relativist invariance to apply only to phenomena that really satisfy this invariance. See http://perso.wanadoo.fr/lebigbang for an interpretation of Alain Aspect experiment as an action at a distance compatible with causality and with a formulation of relativist invariance in the framework of Aristotle space-time. Greysky I suppose there can be explanations, such as invoking Many Worlds - you are hearing the leakage of another freshly split off universe, for example. But this is messy. I do think that we can test for temporal order in an experiment, but to my knowledge this hasn't been done. Chaverondier This has been done in the "multisimultaneity" test at the university of Geneva by professor Gisin. The results where not that expected because it is not possible to assume relativity of simultaneity _and_ a causal interpretation of quantum collapse. These two interpretations are not compatible (and I rather believe the second one). Are there referencers to this on the web? I'd be most grateful if you could point me to something. Greysky |
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"Greysky" a écrit dans le message de
m... Chaverondier Actually, the issue is that one. Is there any possibility to bias quantum measurement statistics ? (see Arnold Neumaeir answer in the thread "quantum state diffusion question" http://minilien.com/?UlOUpjyhZ4 on sci.physics.research) Greysky I am suggesting artificial entanglement, as opposed to 'natural' entanglement... ...suppose the particular variable, lets say net charge, is dynamically variable over time. Chaverondier It's not possible. It would contradict charge conservation. Greysky I do think that we can test for temporal order in an experiment, but to my knowledge this hasn't been done. Chaverondier This has been done in the "multisimultaneity" test at the university of Geneva by professor Gisin. The results where not that expected because it is not possible to assume relativity of simultaneity _and_ a causal interpretation of quantum collapse. These two interpretations are not compatible (and I rather believe the second one). Greysky Are there referencers to this on the web? I'd be most grateful if you could point me to something. Chaverondier Quantum correlations versus Multisimultaneity : an experimental test http://citebase.eprints.org/cgi-bin/...ant-ph/0110117 This was an attempt to check if there was a possible compatibility between relativity of simultaneity and a causal ordering of the polarization measurement of one photon with regard to the correlated polarization of the twin photon in the framework of Alain Aspect experiment. The performed experiment proved, the impossibility that one photon polarization measurement be the cause of the polarization outcome of the twin photon together with the assumption that this causal ordering would comply with relativist time ordering. Indeed if compatibility would be assumed, this would need the disparition of EPR correlations in cases when * polarization measurement by polarizer A be performed first in polarizer A inertial frame and * polarization measurement by polarizer B be performed first in polarizer B frame Of course, the assumed disparition of EPR correlation has not been observed. This confirms the natural incompatibility of a causal ordering of the observed polarizations correlations with the relativity of simultaneity. Hence assuming that polarization measurement of one photon causes the polarization of the twin photon conflicts with the principle of relativity of motion. Bernard Chaverondier http://perso.wanadoo.fr/lebigbang Compatibility of Alain Aspect experiment interpretation as an action at a distance with a formulation of relativist invariance (of phenomena that actually satisfy this invariance) in the framework of Aristotle space-time. |
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"bernard.chaverondier" wrote in message ... "Greysky" a écrit dans le message de m... Chaverondier Actually, the issue is that one. Is there any possibility to bias quantum measurement statistics ? (see Arnold Neumaeir answer in the thread "quantum state diffusion question" http://minilien.com/?UlOUpjyhZ4 on sci.physics.research) Greysky I am suggesting artificial entanglement, as opposed to 'natural' entanglement... ...suppose the particular variable, lets say net charge, is dynamically variable over time. Chaverondier It's not possible. It would contradict charge conservation. Yes, I suppose it would because of my silly attempt to keep the experimenters from assuming anything other than natural variations in charge density is responsible for their identicle measurements. It would work only for the case where the experimenter is not actually adding or subtracting charge. If, when the experimenter is adding charge to his cloud and then taking measurements, if he could measure the amount of charge he has added and noted the cloud he is on is displaying only a portion of that net charge, then he would know some of the information he added is not accounted for (because it turns up instantly in cloud B) then it would be too easy to come to the conclusion there really were hidden variables linking the two seemingly seperated clouds into one. Though if the clouds really were very large themselves, perhaps it would be impossible to measure their total individual charge, thus shielding the experimenters from the knowledge they are violating charge conservation, I suppose. Measuring the charge in a localized region of cloud says nothing about what is going on anywhere else in the ensemble of particles. There is enough wriggle room , given the clouds are large and composed of a multitude of charged particles, to keep the experimenters believing nothing but stochastic process are contriving by luck to keep their measurements the same. If someone is not looking hard enough, he generally doesn't find what he isn't looking for or doesn't want to see :-) Greysky I do think that we can test for temporal order in an experiment, but to my knowledge this hasn't been done. Chaverondier This has been done in the "multisimultaneity" test at the university of Geneva by professor Gisin. The results where not that expected because it is not possible to assume relativity of simultaneity _and_ a causal interpretation of quantum collapse. These two interpretations are not compatible (and I rather believe the second one). Greysky Are there referencers to this on the web? I'd be most grateful if you could point me to something. Chaverondier Quantum correlations versus Multisimultaneity : an experimental test http://citebase.eprints.org/cgi-bin/...ant-ph/0110117 Thanks! Greysky |
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