selfAdjoint said:
And I agree with this. It's not that quantum mechanics is incomplete, it's that it just doesn't address ontological questions. And why should it?
At the end of the day, it should. After all, we identify, in the lab, certain things with certain mathematical entities. This very identification is somehow ontological up to a certain level. Of course, this identification is only partial, and usually very approximative, but nevertheless, we associate a mathematical entity in our theory with a certain physical object "out there". If we do not do that, we aren't doing physics and there is no way for us to "verify experimentally" our theory. At some level, some identification between the mathematical entities in our theory (or at least, some of them) and "things out there" must be made if we are to have a theory with claims to be a physical theory, making predictions of the world.
As such, a purely epistemological viewpoint is not really tenable IMHO, because it doesn't tell us what we should know things of. What does that voltmeter I'm staring at in the lab has to do with some abstract theory ? If my abstract theory says 15V and I see the digits 2 and 3 on the screen, why on Earth would that invalidate my epistemological theory ? Maybe I just didn't interpret it well, and the 15 I get out of my epistemological theory shouldn't be read on the display of the voltmeter, but, I don't know, on the clock under my TV set or something. Where does the association between "voltmeter reading" and "number coming out of my theory" come from ? That only makes sense if we assign some ontology to this situation. So something in my theory must CORRESPOND to the real world out there (this correspondence may be erroneous, of course, because my theory is not perfect). When you can associate *this* variable in my theory with *that reading on that instrument* you've made an ontological assignment of the variable to something "out there". I don't see how you can make ANY supposition of "physical principles" if it doesn't apply to a mathematical object that has been assigned to some "reality".
Now, I'm the first one to say that probably we make errors and our theories are not the "final" ones. As such, the descriptive value of our theories is only very relative. But you should make such an assignment. You cannot hide and say that, well, after all, all those mathematical objects simply don't correspond to anything out there, but they DO correspond to the right quantities I measure. Because that's using double language: in order for them to associate to experimental quantities, you HAVE to make the link, while denying it.
When looking at quantum theory, there's only one object that makes sense (all is relative) to "map" upon a "reality" and that's the wave function. Now, I can very well accept (I even am profoundly convinced!) THAT THIS IS PROBABLY TOTALLY WRONG on a fundamental level. But we don't have anything else, and *IF* we are going to use quantum mechanics, we cannot do but make such an assignment. And who knows, maybe it is even correct!
Reification is a dangerous road for physicists; mathematicians aren't tempted.
I thought I was doing the opposite: I'm just proposing a (probably totally wrong) ontological picture that fits to a theory. I would rather think that reifying happens when you say: this is fundamentally correct, but there is no real world out there, just my knowledge, which somehow is predicted by these magical rules.
To take your example of Maxwell equations. Of course it was silly to look after the material in which the EM fields are wobbling. But nevertheless, I think that everybody agrees that there is a real EM field out there (and that that is what you're thinking about when you do classical EM). Nobody is claiming - I presume - that those E and B fields "don't really exist but tell us something about what we know about moving charges" and somehow "magically" let us calculate how other charges move, far away. You usually picture an EM pulse as something physical, traveling from A to B, and you're not surprised about the "magic" of electrons in my eyes moving around about 8 minutes after some charges moved at the surface of the sun, where the EM field was "only a mathematical tool to organize our calculations of how charges interact".