Huh? What theory besides QM uses a 2-norm? How does it relate to energy?
The length of a vector is a "2-norm". I'll leave the rest to you.
It's Born's 2-norm probability that then gives meanings to linear operators and their eigenvalues.
The linear self adjoint Hamiltonian operator is derived from the time independent Schrodinger equation. That is where the eigenfunctions come from.
It would make the post too turgid to go into. Any questions have their answer here:
He's basically saying, in very flowery language, that length is preserved under rotation. That's not special to the QM model...
...I think it is getting circular. I believe you have mentioned a few mathematical terms without really understanding the mathematical detail. As we have each stated our perspective and are unlikely to reconcile them, I think we should leave interpretation to the insight of the reader.
Yes, and this reader has quickly come to the conclusion that you really know very little about QM, although perhaps a tad more than your cosmology. There are some gems above that will leave SG speachless
Anyway, just a couple of points for both of you. It is quite possible that determinism will be restored in a deeper theory to QM, and this has been worked on for some time, both with decoherence and more recent work. Don't forget that all the Apsect experiments demonstrate is that there are no hidden CLASSICAL variables. It is all about statistics, and statistics do not in themselevs imply indeterminism.