Universal Journal of Physics and Application Vol. 2(3-4), pp. 197 - 224
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PURE SPINORS AND THEIR POSSIBLE ROLE IN PHYSICS

AUTHOR(S) INFORMATION: Budinich P.

ABSTRACT

The E. Cartan's equations defining “simple” spinors (renamed “pure” by C. Chevalley) are interpreted as equations of motion for fermions and for fermion's multiplets in momentum spaces which, after the adoption of the Cartan's conjecture on the non elementary nature of euclidean geometry, appear lorentzian and isomorphic to invariant mass spheres. The equations found are most of those traditionally adopted ad hoc by theoretical physics of elementary particles. It is shown how, the known internal symmetry groups, in particular those of the standard model, might derive from the 3 complex division algebras correlated with the associated Clifford algebras, while the real one might be at the origin of black matter. One of the results is that some of the internal symmetry groups (isospin), might represent reflection groups (conformal) rather than coverings of rotation groups. It is shown how in the frame of Cartan's conjecture in (quantum) mechanics of fermions, it is necessary and natural to substitute the euclidean concept of point event with that of string as an integral of null vectors bilinear in pure spinor; fundamentally non local.