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[_ Old Earth _] Who Collapses the Universe's Wave Function?

  • Thread starter Thread starter Duder
  • Start date Start date
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Duder

Guest
.............

Greetings, all -

I am directing this question especially to theists with at least a passing familiarity with the broad outlines of quantum mechanics. While anyone is free to join discussion, be forewarned that quantum mechanics is full of concepts that seem very strange (even absurd) when you first hear about them. Those who have not been introduced to these ideas before may be tempted to post comments like "that is just stupid" or "only a looney could believe that". I hope to minimize that sort of thing, because bringing the uninitiated up to speed would be a long and difficult discussion.

Let me set up my question with a brief review of the situation I want to discuss. Here is the first strange quantum idea I want to look at:


............."Objects that have not been observed are in many
.............different places at once, are doing many different
.............things at once."


This is called "quantum superposition". The basic idea is that before you observe (or "measure") an object, it is in a very strange state. It is right here, it is over there, and it is in every other place it could possibly be, all at the same time. It is also in possession of attributes that are mutually exclusive.

Take the example of the double-slit experiment. We have an electron gun (the thingy in the back of your TV's picture tube) that will fire electrons at a detector screen. When an electron hits the screen, a little mark will appear on the screen to show us where the electron hits.

Between the gun and the screen we place a barrier with a slit cut in it. The electron gun begins to shoot electrons one at a time toward the screen. Some electrons hit the barrier and go no farther. Other electrons find the slit, pass through it, and arrive at the detector screen. After the gun has fired a very large number of electrons, we turn off the equipment and look at the screen.

We will see a fuzzy, blobbish pattern of electron hits, just as we expected. But let's cut two slits into our barrier and repeat the experiment. We might now expect to see two fuzzy patterns of electron hits on our screen , but that is not the case. What we see this time is that the electron hits on the screen form a distinctive wave interference pattern that looks like concentric circles. Lots of electrons have hit on the circles, and no electrons have hit between the circles.

The pattern we see looks just like what we find when we shine a beam of light between two slits. The beam of light is split into two beams. These two beams interfere with each other, because light is a wave. Where the two waves are in phase, you get bright bands. Where the waves are out of phase, you get dark bands. This is perfectly understandable if we are talking about beams of waving light.

But how can this pattern of wave interference appear on a detector screen when we were not firing beams of light, but rather, one single particle at a time?

The answer is, each particle is actually going through both slits, and it is thus "interfering with itself", giving us the interference pattern on the screen after many electron firings.

That is quantum superposition. Things are in two (or more) places at once. The electron has taken more than one path from the gun to the screen. Quantum physics forces us to say that objects take every path they can take, and they take all these different paths at the same time.

How can that be? When we look at things, we only see one thing in one place. The standard explanation from quantum physics says that,


............."When you observe the object, it stops being in many
.............in many places at once . It's "wave" collapses, and it
.............settles down to being in one position and in one state."


Now, we do not think of actual objects as having this ability to be in many places at once. There is something ghostly and non-concrete about an object that can do this. In a sense, what we are saying is that when we observe an object, we are changing it from a ghost that can fuzz-out over a wide range of possibilities to a real thing with a single set of real attributes and a single real position.

In other words, when you look at it you "collapse the wave function" and make it real. This is very problematic to our common sense, isn't it? In quantum physics, this is called "the measurement problem".

Now I can get to my question:

Let's assume that all of this is correct. Objects are not "actualized" before someone observes them. Let's further assume that we, the observers, are made of particles that obey quantum rules. So the question is, how did we human observers become real if there was no one around to observe us? Who collapsed the first observer's quantum wave function so that the first observer could observe things?

If observation is required to collapse wave functions, is it proof of God that any observers exist? Somebody had to observe the whole thing into being at the beginning.

.............
 
What you're really getting at is the "consciousness causes collapse" interpretation of quantum mechanics, which isn't really taken too seriously among physicists. It's more of an eastern-mysticism interpretation than a scientific one.

There are three other principle ways of dealing with this question. The first one falls out of the Copenhagen interpretation, which is the most popular interpretation of quantum mechanics. It states that the wave function is a mathematical tool with no physical significance, and so there's no real "measurement problem" to speak of. All the talk of collapsing wave functions caused by measurement is just a way of discussing the equations governing the phenomenon, in the same way that imaginary numbers are used in E&M but have no physical analogues. Basically, the answer to the problem is that there is no problem.

The second answer to this problem also comes from Copenhagen, and is basically just a way of dodging the question. It says, in essence, that science is only about observations, and any thought given to what happens when we're not observing is beyond the scope of science. In a nutshell, "Who cares?"

Then there's the explanation given by the Many Worlds interpretation, which is that there is no collapse, because every thing that can happen does happen in one form of the universe or another. If a particle has a 60% chance of existing in state A and a 40% chance of existing in state B (which is, of course, a gross simplification, since the wave function describes a distribution pattern with infinite possibilities), then it will be in state A in 60% of possible worlds, and in state B in 40%.

I would think, though, that even if you do subscribe to the consciousness collapse interpretation, this wouldn't be a very good argument for the existence of an omniscient God. If God is omnisicent, then he can observe everything at every time. And if everything is constantly being observed, there would be no pre-collapse wavefunction at all. The whole idea of collapse requires a period of pre-measurement. Really, this interpretation makes quantum mechanics and God incompatible.

For this reason, I think it's most likely that the first Copenhagen interpretation above is the most likely - the wave function is simply a mathematical tool, and doesn't mean anything physically.
 
.

ArtGuy said:
What you're really getting at is the "consciousness causes collapse" interpretation of quantum mechanics, which isn't really taken too seriously among physicists. It's more of an eastern-mysticism interpretation than a scientific one.

There are three other principle ways of dealing with this question. The first one falls out of the Copenhagen interpretation, which is the most popular interpretation of quantum mechanics. It states that the wave function is a mathematical tool with no physical significance, and so there's no real "measurement problem" to speak of. All the talk of collapsing wave functions caused by measurement is just a way of discussing the equations governing the phenomenon, in the same way that imaginary numbers are used in E&M but have no physical analogues. Basically, the answer to the problem is that there is no problem.

The second answer to this problem also comes from Copenhagen, and is basically just a way of dodging the question. It says, in essence, that science is only about observations, and any thought given to what happens when we're not observing is beyond the scope of science. In a nutshell, "Who cares?"

Then there's the explanation given by the Many Worlds interpretation, which is that there is no collapse, because every thing that can happen does happen in one form of the universe or another. If a particle has a 60% chance of existing in state A and a 40% chance of existing in state B (which is, of course, a gross simplification, since the wave function describes a distribution pattern with infinite possibilities), then it will be in state A in 60% of possible worlds, and in state B in 40%.

I would think, though, that even if you do subscribe to the consciousness collapse interpretation, this wouldn't be a very good argument for the existence of an omniscient God. If God is omnisicent, then he can observe everything at every time. And if everything is constantly being observed, there would be no pre-collapse wavefunction at all. The whole idea of collapse requires a period of pre-measurement. Really, this interpretation makes quantum mechanics and God incompatible.

For this reason, I think it's most likely that the first Copenhagen interpretation above is the most likely - the wave function is simply a mathematical tool, and doesn't mean anything physically.


Greetings, ArtGuy -

Thank you for that well-considered reply.

Of all the alternatives to the "consciousness causes collapse" interpretation, the who cares? stance is the least satisfying of all. If those who take that stance feel that science is only about empirical observation, I would say that they are missing half of science's philosophical underpinning, namely, rationalism. The formalism of the wave function probably means something, and we would never discover what unless we used reason to suggest hypotheses. You're right - "who cares" is a dodge.

I have a question about the other Copenhagan school of thought that you mentioned - that the wave function is a mathematical formalism only. If this were correct, how is it that a particle in a double-slit experiment interferes with itself? Self-interference implies that superposition is a real state of affairs. The particle really must be doing everything that it can do, all at the same time (those states being described by the wave function). And if superposition is really true, does that not imply that the wave function describes an actual state of affairs, and not some abstract scheme that just happens to work for whatever reason? We observe the effects of superposition, and then we observe an un-superposed particle. Mustn't there be a real collapse that explains this transition?

I agree that Many Worlds does away with the need for a collapse. It is a fascinating option - very attractive for a number of reasons that I won't get into here.

Your analysis of "collapse by consciousness" as it relates to the observership of God was very interesting. As a omniscient observer, he would seem to eliminate the possibility of there being any any pre-collapse states.

Maybe there is a way around this. I don't want to get too ad hoc, but hang with this a second. Suppose it is not an observation per se by God that causes the collapse. but a choice? The wave function describes everything that could possibly be, and God chooses which possibility would become actualized. This does away with the randomness in QM that troubled Einstein, and it allows for pre-collapse states.

Just a notion.

.
 
Duder said:
I have a question about the other Copenhagan school of thought that you mentioned - that the wave function is a mathematical formalism only. If this were correct, how is it that a particle in a double-slit experiment interferes with itself? Self-interference implies that superposition is a real state of affairs. The particle really must be doing everything that it can do, all at the same time (those states being described by the wave function). And if superposition is really true, does that not imply that the wave function describes an actual state of affairs, and not some abstract scheme that just happens to work for whatever reason? We observe the effects of superposition, and then we observe an un-superposed particle. Mustn't there be a real collapse that explains this transition?

That's a good question. Given that self-interference is, as far as I know, just based on a thought experiment and has never been actually observed, it's possible that the case can't actually be reduced to a single particle in reality. If that's the case, then this objection goes away, just as you don't much need to worry about the case of balancing a perfect cone on its point. Beyond that, I don't really have an answer to your question. I'm not exactly an expert in QM myself. :)

I agree that Many Worlds does away with the need for a collapse. It is a fascinating option - very attractive for a number of reasons that I won't get into here.

I agree, it's attractive and very interesting, even though I don't really buy it. Are you familiar with the notion of quantum suicide? It's an interesting thought experiment.

Maybe there is a way around this. I don't want to get too ad hoc, but hang with this a second. Suppose it is not an observation per se by God that causes the collapse. but a choice? The wave function describes everything that could possibly be, and God chooses which possibility would become actualized. This does away with the randomness in QM that troubled Einstein, and it allows for pre-collapse states.

Hmm. I suppose that's possible, but it seems to violate the spirit of QM in general, and the measurement problem in particular. It's definitely an interesting hypothesis, but it doesn't sit well with me for reasons I can't really articulate. I'll give it some more thought, though.
 
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