A note on Penrose's Spin-Geometry Theorem and the geometry of `empirical quantum angles'
arXiv:2112.14538 · doi:10.1007/s10701-022-00616-3
Abstract
In the traditional formalism of quantum mechanics, a simple direct proof of (a version of) the Spin Geometry Theorem of Penrose is given; and the structure of a model of the `space of the quantum directions', defined in terms of elementary -invariant observables of the quantum mechanical systems, is sketched.
10 pages; v2: a convention changed to be compatible with the standard one, the link in ref [5] is added, one reference is updated; v3: references added, typos corrected, discussion improved; v4: references updated and added, final version (Foundations of Physics)