dm4b said:
I would like to equate physical with things that can be measured, or observed
Why do you want to equate "physical" with anything at all? Why is that word so important?
dm4b said:
it's not real hard to get the idea of what anyone means by "real"
Yes, it is. That's why there have been interminable philosophical discussions about it, for centuries if not millennia. And that's why, here, we say that unless you can precisely define what you mean by "real", it's not worth talking about. As with "physical" above, why is that word so important? If you already have a theory that makes correct predictions, what additional value is there in pasting the word "real" on certain things?
dm4b said:
What do you mean by "precise", especially when it comes to words?
In physics, "precise" almost always means you're using math, not words. In cases where words are used, there will be precise math somewhere that those words refer to. And the reason I keep asking you what you mean by "physical" and "real" is that I am not aware of any precise math that those words correspond to.
dm4b said:
only a subset of math even corresponds to physical reality, or physics
Yes, that's true. We find out which pieces of math actually describe reality by doing experiments and comparing them with what the math says. Yes, there is no automatic, cookie-cutter process that decides which math we use to make the predictions; building physical theories requires much human ingenuity and insight. That doesn't change the fact that in the end the test is perfectly objective.
dm4b said:
many physical theories can be explained with multiple mathematical models
In cases where the models all make the same predictions, they are mathematically equivalent; in all such cases that I'm aware of (the main one I'm thinking of right now is the Schrodinger vs. Heisenberg formulations of non-relativistic QM), the mathematical equivalence has been proven.
In cases where the models don't make the same predictions, then they are not the same theory, they're different theories; for example, Newtonian gravity vs. GR. In such cases, we can test the theories by experiment, as experiment has shown us that GR is more accurate than Newtonian gravity.
dm4b said:
even the consistent predictions these models give ultimately rely on the measurement process for confirmation
Yes.
dm4b said:
this is something we don't fundamentally understand
You're conflating two different things here. We know how to make observations and compare them with theoretical predictions. What we don't fully understand is how to model that process using quantum mechanics (in classical theories, like Newtonian gravity and GR, we do understand how to do that). But not knowing fully how to model the process is not the same as not knowing how to execute the process. Humans were able to accurately throw spears long before they discovered the physical laws that govern the process.
dm4b said:
there are aspects of reality that may not even be conducive to mathematical modeling, or algorithmic description
If that is the case, such aspects of reality will never be part of what is modeled by physics, so they're off topic here.
dm4b said:
The ontic nature of fields is a serious physics question
It is? What different experimental predictions are made by the different physical theories of the ontic nature of fields? (Hint: AFAIK the answer to that is "none, since there aren't different physical theories of the ontic nature of fields, there are just different stories people tell about the same underlying theory which makes the same predictions regardless of the story".)