Spinoriality: From Projections in a Flat Set of Paths to Elements in Curved Space(-Times)
Résumé
This paper proposes a description of the notion of spinor by restricting attention on its definition in curved space(-time). The starting point is a study on a flat ambient (Euclidean) space, followed by the concept of (isotropic) vector. After a quick specimen of Cliffordian spin group, the question is addressed via tensor-spinor equivalence, using the Pauli–Levi-Civita toolbox, as well as the Riccian algebraic spectrum plus the Riemann curvature tensor. And it ends with the identification of the gravitational spinor.
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