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#1 (permalink) |
Insane
Location: Denver, CO
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Quantum Uncertainty
I'm not entirely sure that this belongs here; it may be a Tilted Philosophy topic. Oh, well. Here goes:
Quantum physics says that certain properties of unobserved subatomic particles are defined, not precisely, but by a probability wave that collapses to a definite answer (within a given range of uncertainty) once it's observed. For example, an electron has no definite position in space, just the varying probablilty of being in any number of places, until I observe it. Before I've observed it, it can be said that the electron exists in all of these places simultaneously. But once I've observed it, it exists only where I observed it to be. My question is this: does this apply to the macroscopic level? Imagine you have a deck of cards. Shuffle them and place one card face down in front of you. Which card is it? Since we've not observed the value (rank and suit) of the card, it has an equal probabilty of being any one of the 52 cards in a deck. Now flip the card over--it's the 9 of diamonds. Here's the part that I'm trying to figure out--was that card the 9 of diamonds before you flipped it over? Or did it become the 9 of diamonds because (and only because) you observed it? And if it only became the 9 of diamonds because you observed it, what was printed on its face before you flipped it over?
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"We must have waffles. We must all have waffles, forthwith. Oh, we must think. We must all have waffles and think, each and every one of us to the very best of his ability." -- Professor Goldthwait Higginson Dorr, Ph.D. |
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#2 (permalink) | |
strangelove
Location: ...more here than there...
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Similar to Schroedinger's Cat
![]() From Wikipedia - http://en.wikipedia.org/wiki/Schr%F6dinger's_cat Quote:
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- + - ° GiRLie GeeK ° - + - ° 01110010011011110110111101110100001000000110110101100101 Therell be days/When Ill stray/I may appear to be/Constantly out of reach/I give in to sin/Because I like to practise what I preach
Last edited by SiN; 04-11-2004 at 04:20 PM.. |
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#3 (permalink) |
Illusionary
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As the card is a known physical object, with a probability based on known parameters (1 of 52), I would suspect it has a set reality, and no fluctuation. As this card is made of billions of subatomic particles, formed into an animate object it has lost the micro-aspect, in favor of its observable macro aspect.
This, to me would change the dynamics of observation and solidify (if you will) the random nature of individual particle interaction, thus making the matter fundamentally stable for observation. But , I could be talking out my cats ass.
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Holding onto anger is like grasping a hot coal with the intent of throwing it at someone else; you are the one who gets burned. - Buddha |
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#4 (permalink) |
Insane
Location: Denver, CO
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That was my instinct, too, but can it be demonstrated that the card has a definite and preset value?
__________________
"We must have waffles. We must all have waffles, forthwith. Oh, we must think. We must all have waffles and think, each and every one of us to the very best of his ability." -- Professor Goldthwait Higginson Dorr, Ph.D. |
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#5 (permalink) |
Mad Philosopher
Location: Washington, DC
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I think the problem here, on both the quantum and macro levels, is one of epistemology rather than one of metaphysics. It's not that the electron doesn't have a definite orientation in space; it's just that we can't know it (or, perhaps, that there aren't really electrons, I suppose). Same thing with the card. It's not that it's not definitely the nine of diamonds, it's just that we don't know it.
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"Die Deutschen meinen, daß die Kraft sich in Härte und Grausamkeit offenbaren müsse, sie unterwerfen sich dann gerne und mit Bewunderung:[...]. Daß es Kraft giebt in der Milde und Stille, das glauben sie nicht leicht." "The Germans believe that power must reveal itself in hardness and cruelty and then submit themselves gladly and with admiration[...]. They do not believe readily that there is power in meekness and calm." -- Friedrich Nietzsche |
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#6 (permalink) |
Illusionary
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I would think, if the entire deck of cards were spread out, face up. One could then assign a predefined value to any of the individual cards.Once the cards are reshuffled, the value has not changed, but is in fact only now in play, thus the 1 in 52 property.
Physically the card exists in the deck, and has a value defined by the earlier observation. The removal of the card is only the inevitable result of the experiment.
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Holding onto anger is like grasping a hot coal with the intent of throwing it at someone else; you are the one who gets burned. - Buddha |
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#7 (permalink) | |
Wehret Den Anfängen!
Location: Ontario, Canada
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Quote:
The electron seems to go through _both_ slits and the electron going through the right slit and the electron going through the left slit interfere. When they hit the photoplate you place beyond the two slits, they form a pretty interferance pattern. Dispite the fact you only fired 1 electron at a time... I'm a many-universes QMer myself. It isn't the act of observing that causes QM wave collapse, observing just happens to make the observer and all but one of the observed states rotate to right angles of each other, no longer able to interact. In any case, when you play with large-scale experiments, usually QM effects get removed by the large number of observer-like actions. So, under almost every interpritation of QM that I know of (all 3 of them, and I only know 'pop-sci' level), that card will be a 9 of hearts, not a "any card of any card"... Hope at least some of that makes sense. =/
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Last edited by JHVH : 10-29-4004 BC at 09:00 PM. Reason: Time for a rest. |
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#8 (permalink) |
On the lam
Location: northern va
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fleacircus: i think you're asking, how does not knowing the position of something you don't observe make quantum sized-stuff different from regular-sized stuff? that's a pretty good question.
your analogy is slightly off though. the fact that, at quantum level, you don't know the position of something you don't observe is not a fundamental tenet of quantum physics--it's more of a side effect of another phenomenon--ie, the wave/particle duality (that all objects behave both as a wave and a particle). the fundamental rule is not that the unobserved has no position, but that, when unobserved, it behaves as something that cannot be said to have a position (ie, a wave). the card analogy you used is not the appropriate analog, since you're not talking about something having this duality. if quantum effects happened at our level, it would be as if you were in a vacuumed, very very dark room, and threw two identical cards from one end to the other, and found that, by repeating this experiment over and over again throwing exactly from the same positions and the same way, that the card landing positions were not a nice bell-shaped curve but were instead kind of wavy. If you don't know what wave/particle duality is, ask me.
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oh baby oh baby, i like gravy. Last edited by rsl12; 04-14-2004 at 08:39 AM.. |
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#10 (permalink) | ||
Wehret Den Anfängen!
Location: Ontario, Canada
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Wave/pariticle duality tells you alot. But, it doesn't deal with funky stuff like entanglement. You can have the states of two "things" entangled, seperate them by a large amount of distance, keeping them in what you call "wave" form, then observe them. The observations made will correlate. In fact, you can show using statistics that no "hidden state" in the wave is enough to hold the information needed. So, now you have to hack in multiple particle entanglement and faster than light quantum communication to your wave/particle model. Wave/particle duality explains really simple quantum interactions. You need more sophisticated mechanisms or interpritations... And some of those more sophisticated interpritations do not have a wave/particle duality. (ie, "quantum wave collapse" doesn't "really" occur under some interpritations) In fact, some of those interpritations the card has a wave-like state: just, the wave-like state looks alot like a card to us. Quote:
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Last edited by JHVH : 10-29-4004 BC at 09:00 PM. Reason: Time for a rest. |
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#12 (permalink) | |
Irresponsible
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Re: Quantum Uncertainty
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I am Jack's signature. |
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#13 (permalink) |
Psycho
Location: Right here, right now.
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FleaCircus, actually the idea of quantum state collapse on measurement is *not* necessarily what Quantum Mechanics says - it is an interpretation of the mathematical formalism, and one that can be argued against. For me, one of the biggest difficulties with this interpretation is specifying how the wave function collapses - is this effect simultaneous everywhere? Given that there is no absolute simultaneity in Relativity etc...
To me, the best explanation of it all is from "Quantum Mechanics: A Modern Development" (Leslie Ballentine, World Scientific, 1998). He is very thorough in trying to dispell misconceptions about the subject, both mathematical and philosophical. For the meaning of quantum state vectors and the difficulties of collapse, see section 9.3 (The Interpretation of a State Vector). As I understand it, the view presented in this book is that a quantum state does *not* apply to a single system (like your single electron), but to a (large or infinite) ensemble of similarly prepared systems. The implication would seem to be that the individual particle does have definite values of whatever dynamical quantities you're interested in - it's just that you won't know what they are until you measure them, and when you do, and if you repeat the measurement for a sufficiently large ensemble of similarly prepared systems, you will find your probability distribution emerging - which is the only thing you *can* predict. The most obvious example is the double-slit experiment. Trying it with a normal light source is essentially trying it with gazillions of similar systems at once. Try it with single photons, but repeatedly, and you still get the interference pattern building up. Something else to note is the dubious assertion that if you measure a particle's position accurate to a small amound dx, then its momentum immediately acquires an uncertainty dp, where dx times dp = h / 2Pi (the supposed content of Heisenberg's Uncertainty Principle). Actually, as Ballentine takes great pains to point out in another part of the book, the mathematical derivation of this result is clearly statistical in nature, which points clearly towards the infinite ensemble interpretation. What the Uncertainty Principle actually says is that if you have a system in a state in which the "uncertainty" (actually, standard deviation) in position is dx and the "uncertainty" in momentum is dp for the whole ensemble of all such systems, then dx times dp = h / 2Pi.
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Maybe you should put some shorts on or something, if you wanna keep fighting evil today. |
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#14 (permalink) | ||
Wehret Den Anfängen!
Location: Ontario, Canada
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Quote:
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I assume he is ok with faster-than-light communication between particles? It sounds like the Bohm interpretation.
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Last edited by JHVH : 10-29-4004 BC at 09:00 PM. Reason: Time for a rest. Last edited by Yakk; 05-01-2004 at 04:53 PM.. |
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#15 (permalink) |
The sky calls to us ...
Super Moderator
Location: CT
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Once you get to something of a readily observable size, the wavelength is so small that the wave/particle duality is negligible. Additionally, the energy put into observing a macroscopic object is not sufficient to change the result of that observation.
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quantum, uncertainty |
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