Rodsw said:
But whenever we are talking about Bell and Bell's Theorem. We automatically assume entanglement.
Ok.
Rodsw said:
Therefore it doesn't make sense why you had to mention about hidden variable in individual detection. It's what confusing me from the start what you are saying.
Just to point out that hidden variables aren't ruled out wrt individual detections. That not only can you assume that hidden variables determine individual detections, but you can make an LRHV model wrt individual detections that's compatible with QM and experiments.
But keep in mind what I said about entanglement correlations (joint detections). They're, presumably, not determined by the same hidden variable that determines individual detections. Presumably, coincidental detections aren't determined by a hidden
variable, but rather a hidden
constant, ie., an underlying parameter (a
relationship between entangled particles) that doesn't vary from entangled pair to entangled pair the way that the the variable determining individual detection does.
Rodsw said:
If it's neither local nor nonlocal. Then your statement "One is free to assume that the correlations are due to nonlocal communications between entangled particles, or due to relationships produced via common causes, ie., local transmissions." is wrong or invalid.
I said that I consider the quantum
theory to be neither local nor nonlocal. However you choose to interpret QM, if the interpretations are unfalsifiable, which they all are afaik, then you're free to assume that entanglement correlations are due to nonlocal communications between entangled particles, or due to relationships produced via common cause, ie., local transmissions.
Rodsw said:
I just want to learn how to say things to a beginner. I may use the following way of explaning it:
To explain quantum entanglement, there are 2 approaches. The realism and anti-realism approach. For the realists, "One is free to assume that the correlations are due to nonlocal communications between entangled particles, or due to relationships produced via common causes, ie., local transmissions." This approach is for Bohmian Mechanics and Objective Collapse Interpretations.
The latter is also for the local realistic approach which says that the correlations are due to relationships between entangled particles produced via common origin or common influences transmitted via local channels.
Rodsw said:
For the Anti-realists. One is free to assume that the correlations are due to the equations and one must not have any picture of matter having definite position and spacetime being really there. This is the Copenhagen interpretation or the orthodox.
It's not that you can't have some sort of picture about what's happening in the underlying reality (eg., standard QM incorporates, and was developed from, all sorts of classical conceptions), but that there's no way to verify or falsify any
particular picture of the underlying reality.
Rodsw said:
There is a third way to look at it. The approach of the Many Worlds or the correlations a result of many branches matching up.
I wouldn't bother with this third way of looking at it. At least not wrt beginners.
Rodsw said:
Do you agree with the above classifications. I may write a magazine article about it or even a book "Idiot's Guide to Bell's Theorem and Quantum Entanglement" so I need accurate statements.
I think that if you're going to write a beginners guide to Bell's theorem and quantum entanglement, then you need some input from people more knowledgeable than me. I learned what I've learned haphazardly, over several years, and, while I think I understand all of the (at least most of the relevant) issues involved, I might be quite wrong in my current understanding. So, hopefully, some more knowledgeable people will weigh in on this to help you out.
Anyway, I hope that our brief discussion has helped clarify some things for you. If you have any further considerations, then please present them, and if I think I know something about them then I'll reply. Otherwise, as mentioned, hopefully your questions/considerations will be addressed by PF science advisors/mentors or maybe some of the non-staff physicists that contribute to PF.