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| Tags: models, theories |
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#1
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Bill Hobba wrote:
You are not the only one to take such a view. The consistent history interpretation also looks at it that way. If you do not know about it take a peek at - http://quantum.phys.cmu.edu/quest.html. I have bought Griffiths book but have not got around to reading it yet. Thanks Bill Thank you! No I was not aware, so many interpretations/formulations out there and so many of them either bogged down in esoteric mathematics or trying to rationalize a bad understanding that I'd stopped reading them. Great recomendation, looked at the site and like what I saw so far. Now to read some of the papers... Regards, James Baugh |
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#2
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Hi James,
Maybe some others also didn't receive it, I reprodiuced your post below (some spelling corrected). My comments: Apart of that I would write "physics" where you wrote "science", and "philosophers" where you wrote "theologians", I agree. I had in mind to write a text to make clear that a model of physics already belongs to metaphysics, but I see that you already took care of that! Note that a large part of the participants in this group seems to disagree. Best regards, Harald ----------------------------------------------------------------------- ----- Original Message ----- From: "Baugh" "It's only a model!" Monty Python Science is an epistemological discipline, a discipline which takes as its defining principle that the determination of *scientific knowledge* is only through experiment/observation. Scientific knowledge is observational data. Scientific Theories are systematic predictions of outcomes of experiments. In short a Theory "predicts or describes what happens". No matter how correct/pretty the mathematics is or how well it fits your "common sense", the scientific interpretation of the mathematics is, and only is, how the mathematics translates into what we do and perceive in a laboratory or observatory. An ontological model is a mental picture of "what is". It is essentially mathematics with a rich language of objects. Once a model is interpreted by giving the behavior of experiments, it generates a theory. Models are scaffoldings for theories. I've seen many "theories" posted some less silly than others. The poster argues vehemently why their "theory" is valid. How it "explains" phenomena. What they usually have in the end is a model. In a very recent post someone claimed their "theory" predicts exactly the same phenomena as Special Relativity. But the *theory* of Special Relativity is precisely the predictions it makes. Indeed much of the lay criticism I've read have been a diatribe against Einstein for removing the model aspects and being so good as to stick to the operational meaning of the theory. Many models may predict the same observable phenomena. Since science is only concerned with the observable phenomena and leaves the rest to theologians, changing the model changes nothing with regard to the science. Its like changing between coordinate systems. Now before badgering someone to pay attention to your new and wonderful "theory" do this check... is it a theory or is it "only a model". Some tests: 1) Are there objects which you claim to exist but which you've failed to explain how one may confirm their existence? 2) Is the intent to describe/predict experimental results or to *explain* phenomena? Most *explanations* are models. 3) Is the "state of reality" represented without reference to how that "state" is unambiguously determined in the lab? Note that models are good and useful when understood to be such. But don't take the reality of the objects in various models too seriously or you'll get into heated debates over "whether unicorn's can dance". But models also can get in the way of theory as in quantum mechanics. Quantum theory is specifically interpreted by the transition probabilities. "Do this and such in the lab and you'll see such and such with probability P." We don't need to impose infinite universes to complete the theory. Some people however feel the need to *explain* the theory in terms of a model of ontological states. The result is a whole mess of "interpretations" which do not in any way alter the actual interpretation as expressed above. Quantum theory is indeed a "model-less" theory. The model object of "system state" is discarded and the poorly named "state-vector" or "wave function" is simply a representation of *our knowledge about the system* as acquired through observation. The mystery of "wave function collapse" is resolved when we realize the collapse is occurring "in the math" i.e. "in the representation". What happens is that we (1) assert that a particular observation yields a particular result. (2) We erase our old representation of what we knew about the system and write down the changed representation incorporating the asserted new data. Are we then shocked by the fact that "suddenly" the wave function changed form? The best classical analogue of "wave function collapse" is the board at the airports with the arrival times posted. When they are updated we don't wonder how the plane suddenly jumped so far to change the value so much. We understand that what has changed is what we know not "what is". With airplanes we can in principle keep a continuous update, this would make it less silly to confuse the posted arrival times with the "state of the airplane". With quanta the act of updating invalidates the predictions which assert no interaction, thus confusing the representation with the "state of the quantum" is very bad. Quantum theory is much more careful about what it represents. It only represents knowledge not reality. It is a theory without an assumed underlying ontological model. Removing this assumption gives more freedom in predicting and that is why it does a better job at it. Regards, James Baugh. |
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