First, I want to thank you both for using an illustration and responding in a way that makes sense to my non-physicist's brain. I'm intrigued with physics because it describes the natural world, but unfortunately the language I speak is English not mathematics. <winks> Accordingly, I truly appreciate that you replied in English and not math and physics.
phinds said:
T2theB I think what you are missing is that macro objects ARE in some exact place. You may not know where that place IS, but that is irrelevant to the fact that it is IN that place.
Quantum objects are not in a "place" at all, they have a probability distribution for their location. That is the essence of Quantum Mechanics vs Classical physics.
Okay...Thanks. I understand the distinction you describe above.
phinds said:
If we had magical instruments that were able to make infinitely precise measurements of a quantum object, we CAN know its exact characteristics. What the Heisenberg Uncertainty Principle says, and the weirdness of QM, is that the next time we make the measurement, we won't get the same answer.
I'm good with the idea of the "infinitely precise" tool concept; however, if we were to have such a tool, wouldn't it show that quanta
are indeed in some place and moving (or not) at some trajectory/rate at any given point in time? Moreover, assuming we had the ability to observe the quantum particles as easily as we watch balls roll across a pool table, wouldn't we then have to say that the particles ARE in a place just as the dust hovering about in a room is in place until it finally lands?
phinds said:
For example, if you have an ideal pool table and you hit a ball in an exact spot and you hit it with an exactly applied amount of force then you can do this over and over and the ball will do exactly the same thing every time.
But if you have a quantum object, say a photon, traveling through a slit that measures its exact position in space, you can then measure exactly where it hits a phosphor screen on the other side of the slit, so you think, HA ... I know exactly the position and trajectory of that photon at the point it went through the slot. And you're right.
Then you send an identical photon from the same source through the same slit and it ends up hitting the screen somewhere completely different. You do this enough times, and you find that there is a probability distribution of the location of where the photons hit the screen.
The pool ball is deterministic and the quantum object isn't.
Google "single slit experiment" for more discussion.
So, I'm going to run with your pool balls and your idea of the "infinitely precise" measuring tool.
I'm going to assume for the time being that the "wierdness" observation, and thus the need to use probability to figure out what a particle is doing/did is because there's other "stuff" in the space through which the particle travels/traveled and lacking the particle bumps into that stuff and thus behaves differently each time.
So then with an "infinitely precise" tool, one should be able to see what the particles collide with and the impact the impacts have on one another. Yes? Of course, we have no such tool, so isn't it fair to say that probability is the only rational mode available to identify XYZ about the motion of quanta, and therefore it's the tool/language used to describe the behavior of particles since there is no better alternative at the moment?
Being that these particles are so little, I can imagine it wouldn't take much to alter the course/speed the particle travels. ...But perhaps they are all, or at least most of them, weakly interacting enough that they can just fly right through "stuff" without altering their own course, speed, etc. If that's a wrong assumption, just say so. I'll accept that.
bhobba said:
Macro objects obey the law of superposition just as much as micro objects do.
The reason we don't notice it has to do with decoherence:
http://www.ipod.org.uk/reality/reality_decoherence.asp
Einstein once quipped to Bohr - Do you believe the moon is there when you are not looking? He replied - Einstein - Stop telling God what to do (a bit of license here - it wasn't that exact sequence - just to give you the flavour).
The joke is on them both though - the moon, and indeed any maco object, is being observed all the time by the environment - and that is why the classical common sense world is the way it is:
http://scitation.aip.org/content/aip/magazine/physicstoday/article/58/11/10.1063/1.2155755
'All this familiar story is true, but it leaves out an irony. Bohr’s version of quantum mechanics was deeply flawed, but not for the reason Einstein thought. The Copenhagen interpretation describes what happens when an observer makes a measurement, but the observer and the act of measurement are themselves treated classically. This is surely wrong: Physicists and their apparatus must be governed by the same quantum mechanical rules that govern everything else in the universe. But these rules are expressed in terms of a wavefunction (or, more precisely, a state vector) that evolves in a perfectly deterministic way. So where do the probabilistic rules of the Copenhagen interpretation come from?'
Answer - interaction with the environment.
Thanks
Bill
I think I follow what you're saying and it seems, in my mind, akin to what I commented to phinds above. I'm I'm following you, "interaction with the environment," and our inability to perfectly replicate the environment for every test, is what causes us to need to use probability. Yes? If that's the case, then phinds' "infinitely precise" tool, were we to have one, would let us use "regular math" rather than probability to describe quanta's behavior. Yes?
That makes sense to me and seems in line with the idea that quanta do indeed behave just like everything else and that it's just a matter that the little buggers are too small, and the "stuff" that affects their movement, route, etc. is also too small, for us to (presently) keep track of it all. Plus, and this really makes sense to my accountant's mind, since probability seems to work "well enough," the cost-benefit of creating phinds' infinitely precise measuring machine just isn't worth the bother, at least not right now.
Probability:
One other thing. I have a cat. He likes to hang out in certain places and I use probability to know where to look for him. Most of the time, he's where I guess he will be because that's where he usually is at a given time of day. Most of the time, he's in the first place I look, but sometimes he's elsewhere. Similarly, I'm close to 100% sure -- more sure than I am about where to look for him -- that if he's asleep, when he wakes, the first thing he'll do is find me and jump into my lap. Is my guessing where the cat is, or what behavior he'll execute at certain times, substantively different from what physicists do when figuring out and/or describing what particles do and where they are?
Again, thank you both for your replies.
All the best.
Tony