Evolving wrote:Pedantic introductory point: the wave function is a mathematical description, not the object itself (I know you know that).
Yes, I'm aware of that mantra. But if I ask you to tell me what it's a mathematical description OF, what can you possibly say? Let's explore the rest of your post to get some context...
We don't know what the object itself is "like": all we can say is that at times it exhibits characteristics that remind us of a wave, at other times characteristics that remind us of a particle.
But this is a major problem, because in either case you have here referred to BOTH the particle and wave to be observational references. That is, we have previously been brainwashed into thinking that 'the particle' [alone] is an observational phenomenon, yet you here explicitly imply that our understanding of both notions is derived from observation. Though I didn't need YOU to tell me this as I already knew that. I just wanted to make sure that you and the readers would be aware of this. The obvious fact is that our concept of 'the wave' is also an observational fact and has NO correspondence whatsoever with any 'fact' gleaned from any reality beyond said realm.
It's always the same object, in all circumstances; what varies is its wave function.
Ontologically, I agree. What I doubt is that either you or some of the readers here understand that the TOTALITY of the wave/particle interpretation is wholly derivative of observation and has ZERO reference to anything beyond this, even [really] imagined.
I cannot emphasise this enough: the wave nature of matter/energy is NOT a reflection of our [new knowledge] of matter itself, but ENTIRELY reflects a new interpretation of observational phenomena. Hence, the issue between reality and observation does not hinge upon the dilemma of wave and/or particle. Understood?
As long as it is undisturbed, the wave function continues to evolve according to its first derivative with respect to time: the wave function contains all necessary information to predict its shape at any future time.
The maths are [also] ENTIRELY derived/formulated from observation. That is, we have maths related to direct observation and maths related to the potential for direct observation. What we don't have is maths related to direct observation and maths related to the reality of the 'thing' itself. Am I making myself clear? I sincerely hope so. Regardless, the bottom-line is that the maths are ALL grounded within the observational realm.
If, therefore, we elevate "having a definite value" to our criterion of "reality", we must conclude that particles never become real. Which is not very helpful, because they clearly are, they clearly do exist: an electron always has a charge and a mass, for instance, whatever its state with respect to other observables, because these things don't change.
There's nothing which "clearly exists" when ALL relevant data [of it] is a reference to either that which is or may be observed, which is entirely the case here, since none of our mathematical data CAN be a reference to anything OUTSIDE of the observational domain. The observational domain is all we have, and ALL maths thereof are a reference TO IT.
Measurement (or particle-nature) is not the issue here. The wave-particle nature of 'matter' is not a reference to the real AND the observed. It's ALL a reference to the observed. That is, there's not a single aspect of QM [and the maths thereof] which have any reference to 'that' beyond the observational domain.
I cannot be wrong, because we are not privy to any event beyond the observational realm. Further, you yourself [and others] decline from talking about 'reality' in scientific threads like these ("Do the maths and shut up"), yet are quick to denounce others who might [with good basis].
The bottom-line, as always, is that physicists will never hold the lead torch in our pursuit of 'real' truth. And threads like these should always be redirected to the philosophy forum, where such bright torches can only be found.
You can't have your cake and eat it. Don't tell guys like me to "shut up and calculate" whilst also pretending that your calculations are significant enough to mock people like those responsible for the OP, not least myself.