vanhees71 said:
Again for me this is the very statement, I don't buy. There is no difference between interaction and measurement. This is vaguely formulated, so maybe I understand you and other proponents of this claim in this thread in a wrong way. For me this says that you and others claim that there's a difference in the interaction of the measured object with the measurement apparatus and all other interactions.
But how is it you don't buy your own preferred interpretation ?
But first things first, I don't (nor anybody else) think (let's say on a philosophical/ontological level) that the "stuff" of the laboratory (or the universe or whatnot) is made of two different "categories" of stuff, obeying different rule. For example I am quite confident that classical mechanics assume you can measure things of the theory (like force and mass and ...) with
the same thing in the laboratory (force and mass) (in the same unit)
Also the discussion here is only about phenomenology, and differences between them (and their completeness)
vanhees71 said:
This doesn't make sense to me since the same physical laws apply to interactions no matter whether it's the interaction with a measurement apparatus or not.
Maybe in the lab... but you seem to be doubting that... I don't. And again, it is not the "problem". The problem is to accurately analyse the theory itself.
What is uncontroversial, in that in the
model/theory the physical law describe imaginary(hmmm complex) vector in arbitrary dimension. From what I understand the Schrodinger equation is
deterministic and
continuous.
Where I think you make a unconscious philosophical leap, is to believe that measurement apparatus (used to test QM) are "displaying" those imaginary pointer from other dimensions... they don't. Not because they are macroscopic, but because the unit don't even match those of the theory...
...because the
complete minimal interpretation
must add something fundamentally
different to classical mechanic, in order to make it scientific (testable).
This process (the Born rule) is discrete, and only happens "on measurement" (
not on interaction), and is probabilistic. But at least probabilities of "stuff" in the same unit as the laboratory (all classical).
vanhees71 said:
Neither in classical nor in quantum theory is any dichotomy in the applicability of the rules to measurement apparati and other objects.
Ok, then my mistake. When do you use the Born rule inside the Schrodinger equation ?
vanhees71 said:
Measurement apparati are made of the same stuff as anything else, and also all physical laws apply to measurement devices as to any other object. That's all I'm claiming.
That's an ontological claim (that I share btw).
But you don't claim that. You are claiming (as far as I understand) that the
epistemology is not based on such a dichotomy.
vanhees71 said:
Maybe we have to reformulate our claims, but I don't know, in which way I can reformulate mine.
But there is no need to. The minimalist interpretation is fine. You believe in ensemble, and the Born rule applied. Period.
You seem to believe that one day another interpretation will derive the Born Rule. Why not ? As far I can tel RUTA's one is a good start. It is even based on a classical axiom...
But as thing are currently, the current minimal interpretation does make such a distinction.
vanhees71 said:
Both phase space in classical mechanics and the operators in Hilbert space are representing properties of observable facts about objects, described in an abstract mathematical way.
No, the units don't match in QM, they do in CM
vanhees71 said:
In QT the description is explicitly probabilistic
As far as I known, probabilities are not complex numbers... even (0,0)