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Contextual Quantum Mechanics
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Contextual Quantum Mechanics
wuliheron
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Posted 07/22/09 - 12:13 PM:
Subject: Contextual Quantum Mechanics
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Evidently a new experiment at Innsbruck Institute in Austria has provided the first proof that quantum indeterminacy is dependent upon the context in which measurements are taken, that is, whether or not other measurements are taken at the same time. Supposidly this rules out the possibility that quantum weirdness can be explained in a purely causal manner and, therefore, places further constraints on the number of possible theoretical explanations for the phenomenon. Because Eurekalert quickly removes it's webpages in a day or two I will publish the short article here and welcome any discussion on the topic.

Eurekalert.org wrote:
Quantum measurements: Common sense is not enough
Experimental physicists refute non-contextual quantum models
This press release is available in German.

In comparison to classical physics, quantum physics predicts that the properties of a quantum mechanical system depend on the measurement context, i.e. whether or not other system measurements are carried out. A team of physicists from Innsbruck, Austria, led by Christian Roos and Rainer Blatt, have for the first time proven in a comprehensive experiment that it is not possible to explain quantum phenomena in non-contextual terms. The scientists report on their findings in the current issue of Nature.

Quantum mechanics describes the physical state of light and matter and formulates concepts that totally contradict the classical conception we have of nature. Thus, physicists have tried to explain non-causal phenomena in quantum mechanics by classical models of hidden variables, thereby excluding randomness, which is omnipresent in quantum theory. In 1967, however, the physicists Simon Kochen and Ernst Specker proved that measurements have to be contextual when explaining quantum phenomena by hidden variables. This means that the result of one measurement depends on which other measurements are performed simultaneously. Interestingly, the simultaneous measurements here are compatible and do not disturb each other. The physicists led by Christian Roos and Rainer Blatt from the Institute of Quantum Optics and Quantum Information (IQOQI) of the Austrian Academy of Sciences and the University of Innsbruck have now been able to prove this proposition and rule out non-contextual explanations of quantum theory experimentally. In a series of measurements on a quantum system consisting of two ions they have shown that the measurement of a certain property is dependent on other measurements of the system.

Technological headstart

The experiment was carried out by the PhD students Gerhard Kirchmair and Florian Zähringer as well as Rene Gerritsma, a Dutch postdoc at the IQOQI. The scientists trapped a pair of laser-cooled calcium ions in an electromagnetic trap and carried out a series of measurements. „For this experiment we used techniques we had previously designed for building a quantum computer. We had to concatenate up to six quantum gates for this experiment", explains Christian Roos. „We were able to do this because, it is only recently that we can perform a quantum gate with high fidelity." Only last year, a team of scientists led by Rainer Blatt realized an almost error-free quantum gate with a fidelity of 99 %. With this technological headstart, the scientists have now proven comprehensively in an experiment for the first time that the experimentally observed phenomena cannot be described by non-contextual models with hidden variables. The result is independent of the quantum state – it was tested in ten different states. Possible measurement disturbances could be ruled out by the experimental physicists with the help of theoreticians Otfried Gühne and Matthias Kleinmann from the group led by Prof. Hans Briegel at the IQOQI in Innsbruck.

Randomness cannot be excluded

In 1935 already, Albert Einstein, Boris Podolsky and Nathan Rosen questioned whether quantum mechanics theory is complete in the sense of a realistic physical theory – a criticism that is now well know in the scientific world as the EPR paradox. In the mid 1960s, John Bell showed that quantum theory cannot be a real and at the same time local theory, which, in the meantime, has also been proven experimentally. Kochen and Specker's results exclude other theoretical models but until now it was difficult to provide a convincing experimental proof. Following a proposition by the Spaniard Adán Cabello, the Innsbruck scientists have now successfully proven this point and produced unambiguous results experimentally. The physicists are supported by the Austrian Science Funds (FWF), the European Union, the Federation of Austrian Industry Tyrol, and Intelligence Advanced Research Projects Activity (IARPA).


http://www.eurekalert.org/pub_releases/2009-07/uoi-qmc072009.php
Aetixintro
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Posted 07/23/09 - 01:34 PM:
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Thank you very much, wuliheron! I appreciate it! nod

Keep it coming, please!

Efficacy of "for since it is at present manifest to me that even bodies are not properly known by the senses nor by the faculty of imagination, but by the understanding alone" - Descartes, Meditation II
I'm always wanting more, Anything I haven't got, Everything, I want it all, I just can't stop - The Cure, Want
wuliheron
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Posted 07/24/09 - 05:23 AM:
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This work represents just the first good sighting of the tip of an enormous iceburg waiting to be explored (just do a quick websearch to see how much theoretical research is going on in this area). The conservation of information in quantum systems is amazing and now it has been confirmed to conform to relative rather than absolute standards. I can't wait to see what kind of deep meaning might emerge from studies with full fledged quantum computers, quantum networks, and neural networks. About all we know about Quantum Neural Networks, for example, is that they will likely work in a nonlinear fashion of some sort and might be usefully described using such mathematics as Fractal Geometry. It could eventually turn out that, just as N-dimensional mathematics played a crucial role in the development of General Relativity, Fractal Geometry or something similar may play an important role in finally reconciling Relativity and Quantum Mechanics in a useful and sweeping fashion.

I've been waiting for that to happen since I was 14 and still have hopes it will be achieved within my lifetime. nod

Edited by wuliheron on 07/24/09 - 05:32 AM
Noumenal1
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Posted 09/14/09 - 12:46 PM:
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Kant's transcendental deduction, that a-priori cognitive faculties determine the form of experience, may offer an epistemological interpretation of quantum mechanics similar to Bohr's Copenhagen interpretation, of complementarity. As late as 1991, Abraham Pais referred to Bohr, as Kant's successor in this regard.

Quantum mechanics cannot be formulated consistently in terms of time, space, or causality. Why? These concepts are a-priori intuitions of the mind, they are not entities existent independently of their application. They can be considered artifacts resulting from the process of formulating an understanding of reality.

If we regard Reality as it is in itself, that is, unconceptualized by mind, ...as Kant's Noumenal reality, we can see that a classical understanding of reality is necessarily delimited from Noumenon by having been conformed within the above intuitions. It seems to be a presupposition of some physicists that all of Noumenal Reality can be so conformed and make rational sense. This is asking a lot of evolution.

The role of science is to provide predictions of future events only, not to provide explanations or even an understanding of the underlying reality. Yet physicist still propose multi-verse ideas to avoid the state reduction, or wave-function collapse,... rather than accepting that the underlying realty cannot conform to a-priori conditions of the understanding and at the same time retain its unconceptualized fundamental nature, whatever that means.

" .[QED]...you see my physics students don't understand it . . . That is because I don't understand it. Nobody does" - Feynman


Edited by Noumenal1 on 09/14/09 - 03:17 PM
Cadrache
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Posted 09/14/09 - 03:54 PM:
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Mmm... heading in the right direction it seems.

I can't wait until the hit the point where the 10 dimensions we think exist do not work all together but instead only overlap and are therefore not of the same locality. grin

"...There was a writer who asked why it was that when we find positive experiences we say that only the physical facts are real, but in negative experiences we believe that reality is subjective. He made an example of those who say that in birth only the pain is real, the joy a subjective point of view, but that in death it is the emotional loss that is the reality." - Tony Ballantyne, Recursion.
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wuliheron
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Posted 09/14/09 - 06:14 PM:
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The whole point of contextual quantum mechanics is that it does not necessarilly have any single metaphysics. If quantum mechanics is contextual, then this implies the behavior of quanta can only be described in relative terms. Is it a particle or wave? It just depends upon the context in which you choose to make your measurement.

I mentioned fractal geometry in particular because the success of fractal geometry has called into question the classical ideas of what exactly constitutes a dimension. The only way I can conceive of having a fraction of a dimension is if the "fractional" dimension is merely conceived of as a fraction relative to another dimension. It may be that we need only describe the relationships between these "dimensions" or whatever they might be and completely ignore metaphyics altogether.

Imagine sitting in a barber chair and facing a mirror that faces yet another mirror behind you. In the mirror you see an endless succession of mirrors and the only way for you too see this parade of reflections is when you too are visible to yourself as an endless parade of reflections within the mirrors. Physicists today are using matter/energy to collect images of matter/energy in much the same way these mirrors collect reflections and encountering the same difficulty in getting a clear picture that does not include their own reflections as well. We could assume that this is merely a technical problem yet to be overcome, or that it might be insurmountable. It may be that we are trying to pop God's bubble and he is proving more than up to the challange.

Either way, this latest evidence is the first positive statement about what quantum mechanics is rather than what it is not. The Uncertainty Principle and Bell's Theorem are both statements about what quantum mechanics is not, that is, it is not classical mechanics and it is not local. Now for the first time we have evidence that quantum mechanics is contextual and, therefore, also relative.
Kwalish Kid
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Posted 09/14/09 - 06:43 PM:
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wuliheron wrote:
The whole point of contextual quantum mechanics is that it does not necessarilly have any single metaphysics. If quantum mechanics is contextual, then this implies the behavior of quanta can only be described in relative terms. Is it a particle or wave? It just depends upon the context in which you choose to make your measurement.

This is a little off. Quanta are neither particles nor waves. They are packets of energy in systems with dynamics operating according to wave equations in Hilbert space. The contextual nature of QM means that the equations that we use to describe a system depend on the measurements that we will do to the system and that there is not simply some underlying way of describing the state of the system independently of what we choose to measure.

"Scientific truth is always paradox, if judged by everyday experience, which catches only the delusive nature of things." - KM, V, P and P

Can you pass Religion 101?
wuliheron
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Posted 09/15/09 - 05:05 AM:
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This is merely another way of describing quanta that is no more clear than the wave/particle duality. Just what the heck is a "packet of energy" and what the heck is a "Hilbert Space" of infinite dimensions? How can a "packet of energy" be said to rotate without having a particle-like nature? No, this is merely an abstract mathematical treatment of what we observe which is wave-particle duality.
Kwalish Kid
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Posted 09/15/09 - 06:09 AM:
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wuliheron wrote:
This is merely another way of describing quanta that is no more clear than the wave/particle duality. Just what the heck is a "packet of energy" and what the heck is a "Hilbert Space" of infinite dimensions? How can a "packet of energy" be said to rotate without having a particle-like nature? No, this is merely an abstract mathematical treatment of what we observe which is wave-particle duality.

Quantum mechanics needs work in some areas, but the particle/wave duality is simply not part of its shortcomings.

And these things do not rotate. "Spin" is not the same as angular momentum in the classical case. Much confusion comes about in approaching quantum mechanics because people want to interpret the results using classical mechanical concepts that simply do not apply.

"Scientific truth is always paradox, if judged by everyday experience, which catches only the delusive nature of things." - KM, V, P and P

Can you pass Religion 101?
wuliheron
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Posted 09/15/09 - 09:47 AM:
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I am not saying wave/particle duality is a problem, I am saying that it is contextual. Quanta behave like waves when we attempt to measure them as waves, and behave like particles when we attempt to measure them as particles. In other words, their behavior depends upon the context. Rather than attempting to describe quanta as particles, waves, or wave/particles contextualism says it is meaningless to describe them outside of specific contexts. The experiment I cited indicates support for this perspective of quantum mechanics as more useful than adopting any particular set of metaphysics.
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