Well, the part you skipped is what motivated the title of the paper. Mermin's challenge is the reason the rest of the paper was written.Brukner and Zeilinger also use this language in "
Information and fundamental elements of the structure of quantum theory" where they associate a complete set of complementary spin measurements with a particular reference frame. Establishing what constitutes a reference frame is necessary to using the relativity principle aka "no preferred reference frame" (NPRF), which is the foundation of our answer to Mermin's challenge.Each of the three triplet states is rotationally invariant in a particular plane, as we explain in the paper and I explained in the Insight, "
Exploring Bell States and Conservation of Spin Angular Momentum." Putting that together with NPRF per the reference frames of complementary spin measurements tells us that the SU(2) invariance of eigenvalues between different spin measurement operators per Information Invariance & Continuity entails the SO(3) invariance of spin measurement outcomes between those different inertial reference frames. Then add the fact that such measurements are actually measurements of Planck's constant h (Weinberg) and we have an exact analogy with the light postulate, NPRF + c, i.e., we have NPRF + h. So, the "mysteries" of time dilation and length contraction are due to NPRF + c while the "mysterious" Bell state correlations are due to NPRF + h. That's our answer to Mermin's challenge. Very simple, right?For those who are interested in how one might actually prepare a Bell triplet state, see this paper: Dehlinger, D. & Mitchell, M. Entangled photons, nonlocality, and Bell inequalities in the undergraduate laboratory.
American Journal of Physics 70, 903–910 (2002).Keep in mind that you're simply making a statement of your ignorance here. These and many other highly accomplished physicists did and do discuss issues concerning the understanding of QM. Once you understand what it is that bothers them, then you can address their concerns (if you so choose) rather than simply expressing the fact that you are ignorant of them."I think I can safely say that nobody understands quantum mechanics." Feynman,
Probability and Uncertainty; The Quantum Mechanical View of Nature.
"All of modern physics is governed by that magnificent and thoroughly confusing discipline called quantum mechanics. It has survived all tests and there is no reason to believe that there is any flaw in it. We all know how to use it and and how to apply it to problems; and so we have learned to live with the fact that nobody can understand it." Gell-Mann in The Unnatural Nature of Science, p. 144.
"Everybody who has learned quantum mechanics agrees how to
use it. 'Shut up and calculate!' There is no ambiguity, no confusion, and spectacular success. What we lack is any consensus about what one is actually
talking about as one uses quantum mechanics. There is an unprecedented gap between the abstract terms in which the theory is couched and the phenomena the theory enables us so well to account for. We do not understand the
meaning of this strange conceptual apparatus that each of us uses so effectively to deal with our world. ... What the hell are we talking about when we use quantum mechanics? For
practical purposes ordinary everyday quantum mechanics is just fine, and what I have to say is of little or no interest. It is my hope to interest those who, like me, are impractical enough always to have been bothered, at least a bit, by not knowing what they are talking about." Mermin,
Making Better Sense of Quantum Mechanics. 2019 Rep. Prog. Phys. 82 012002
You may just have to accept the fact that you will never understand what bothered Einstein, Weinberg, Mermin, Gell-Mann, Feynman, and many others about QM. You simply cannot relate, so you have nothing to contribute to such discussions. I wish I could help you!