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I think the idea that 'reality' is a bad starting point is very important.
Instead of trying to think about a discrete point particles, consider two intersecting infinite (but not evenly distributed) blobs that are going to interact somewhere within their intersection. "Before" the interaction occurs, the best we can do is offer up a probability distribution of where the most likely times and places of the interaction will be, based on information we have about the histories or environments of these blobs. The "time" and "location" of this interaction do not mean that two point particles collided at that precise time and place. No, it merely means that this is when and where the two blobs interacted--no more, no less.
I view Copenhagen as a set of rules for using a methodology that gives amazingly accurate answers, but like most analogies and methodologies these rules can be overextended to give even greater confusion.
Heisenberg's indeterminacy is mathematically obvious, and no more than a correct formulation of Zeno's paradox. Speed is Δx/Δt, position is x. The larger we make Δx and Δt, the more precisely we can measure their ratio, but the less meaning we can assign to either x or t. The clever bit is mixing in mass, then guessing that ΔpΔx ≥ h, so whilst we might have a very good idea of the position of a cannonball at any given moment, it becomes very difficult to locate an atom or an electron as m decreases. Ultimately this explains why the hydrogen atom has a finite (but fuzzy) diameter instead of collapsing, and to everyone's surprise h turns out to be a universal constant.
Quote from: Chiral Instead of trying to think about a discrete point particles, consider two intersecting infinite (but not evenly distributed) blobs that are going to interact somewhere within their intersection. "Before" the interaction occurs, the best we can do is offer up a probability distribution of where the most likely times and places of the interaction will be, based on information we have about the histories or environments of these blobs. The "time" and "location" of this interaction do not mean that two point particles collided at that precise time and place. No, it merely means that this is when and where the two blobs interacted--no more, no less. I’m impressed. Even I can visualise this. I’m struggling with one aspect, though. It has a ring of familiarity to it. By “infinite blobs” do you mean: 1. They occupy the entire Universe, or 2. They might occupy the entire Universe, but we don’t know, until an observation is made?If 1, do we run into the problem of FTL communication when an observation is made?If 2, do we not have the same problem of mutual location that we had with particles, just on a different scale?
I don't think that we need to worry about FTL communication, though... the information gained from the interaction will propagate no faster than c.
The Copenhagen Interpretation of quantum theory holds that there is no reality at a quantum level, without observation
Heisenberg, in developing his case for the uncertainty principle, used the example of “observing” an electron by hitting it with a gamma ray photon. This act established the location of the electron, at the instant of contact, but gave no information about its velocity.Bohr used this same example in defending complementarity; arguing that it supported the contention that “observation” created reality, in the quantum realm. The reasoning seemed to be that the electron had neither position, nor velocity, until an observation was made.
This must raise the questions: What was the gamma ray photon aimed at? And, what did it hit, if the electron was not there before it was hit?
QuoteThe Copenhagen Interpretation of quantum theory holds that there is no reality at a quantum level, without observation.This is true at all levels of observation.
The Copenhagen Interpretation of quantum theory holds that there is no reality at a quantum level, without observation.
Back to basics for a minute. Position and velocity are not properties of a particle. They are relations/descriptions used in human observations for the purpose of understanding the behavior of the world we inhabit,
Heisenberg’s example of the photon hitting the electron seems to suggest that it is the inadequacy of the measuring device that “creates” the uncertainty. My understanding is that uncertainty is more fundamental to QM, and that however much we might improve our measuring instruments, we will never achieve "certainty". Would I be right in interpreting your post as agreeing with that?
Actually I'm not sure this example is correctly attributed to WH, whose appreciation of indeterminacy was a lot deeper.
Certainty is undefined. What we know (with absolute certainty!) is that either ΔpΔx ≥ h, or the universe would collapse to a singular point. It hasn't, and we have a pretty good idea of the value of h.
Are you saying that without observation, there is nothing there; or that without observation there is no way of knowing what, if anything, is there?
Should this be interpreted as saying that Heisenberg was not justified in drawing the conclusion he did from his analogy?
Flip a coin. In the air it's H and T, until it lands and becomes H or T. The coin has the “qualities” of H & T, throughout.
The coin has the “qualities” of H & T, throughout.
Quote from: AlanCertainty is undefined. What we know (with absolute certainty!) is that either ΔpΔx ≥ h, or the universe would collapse to a singular point. It hasn't, and we have a pretty good idea of the value of h. Thinks for clarifying that. All I have to do now is work out why the Universe would collapse.
Instead of trying to think about a discrete point particles, consider two intersecting infinite (but not evenly distributed) blobs that are going to interact somewhere within their intersection. "Before" the interaction occurs, the best we can do is offer up a probability distribution of where the most likely times and places of the interaction will be, based on information we have about the histories or environments of these blobs.
.... Nothing can ever be known exactly--there is always some uncertainty. And it is also rare that there is zero information available about something....
Quote from: Chiral.... Nothing can ever be known exactly--there is always some uncertainty. And it is also rare that there is zero information available about something.... Wouldn't it be true to say that if nothing can ever be known exactly; it would not be "rare" to have "zero" information about something, as that would leave no room for uncertainty?Pedants of the world, unite! []