In the search of a mathematical basis for quantum mechanics, inorder to render it self-consistent and rationally understandable, we find that thebest approach is to adopt E. Cartan's way for discovering spinors; that is to startfrom 3-dimensional null vectors and then show how they may be represented bytwo-dimensional spinors. We have now only to go along this path, however in theopposite direction; with these spinors (which are pure) we construct bilinearly nullvectors and we find that they naturally generate Minkowski momentum space,where the simplest Cartan equations defining pure spinors determine all equationsof motion for massless systems: both the quantum (Weyl's) and the classical(Maxwell's) ones.
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